Note

• A calibration sample for 3 cameras in horizontal position can be found at opencv_source_code/samples/cpp/3calibration.cpp
• A calibration sample based on a sequence of images can be found at opencv_source_code/samples/cpp/calibration.cpp
• A calibration sample in order to do 3D reconstruction can be found at opencv_source_code/samples/cpp/build3dmodel.cpp
• A calibration sample of an artificially generated camera and chessboard patterns can be found at opencv_source_code/samples/cpp/calibration_artificial.cpp
• A calibration example on stereo calibration can be found at opencv_source_code/samples/cpp/stereo_calib.cpp
• A calibration example on stereo matching can be found at opencv_source_code/samples/cpp/stereo_match.cpp
• (Python) A camera calibration sample can be found at opencv_source_code/samples/python2/calibrate.py

calibrateCamera

Finds the camera intrinsic and extrinsic parameters from several views of a calibration pattern.

C++: double  calibrateCamera (InputArrayOfArrays  objectPoints, InputArrayOfArrays  imagePoints, Size  imageSize, InputOutputArray  cameraMatrix, InputOutputArray  distCoeffs, OutputArrayOfArrays  rvecs, OutputArrayOfArrays  tvecs, int flags=0, TermCriteria  criteria=TermCriteria( TermCriteria::COUNT+TermCriteria::EPS, 30, DBL_EPSILON)  )

Python: cv2. calibrateCamera (objectPoints, imagePoints, imageSize [, cameraMatrix[, distCoeffs[, rvecs[, tvecs[, flags[, criteria]]]]]]) → retval, cameraMatrix, distCoeffs, rvecs, tvecs

C: double  cvCalibrateCamera2 (const CvMat*  object_points, const CvMat*  image_points, const CvMat*  point_counts, CvSize  image_size, CvMat*  camera_matrix, CvMat*  distortion_coeffs, CvMat*  rotation_vectors=NULL, CvMat* translation_vectors=NULL, int  flags=0, CvTermCriteria  term_crit=cvTermCriteria( CV_TERMCRIT_ITER+CV_TERMCRIT_EPS,30,DBL_EPSILON)  )

Python: cv. CalibrateCamera2 (objectPoints, imagePoints, pointCounts, imageSize, cameraMatrix, distCoeffs, rvecs, tvecs, flags=0 ) → None

Parameters:

objectPoints – In the new interface it is a vector of vectors of calibration pattern points in the calibration pattern coordinate space. The outer vector contains as many elements as the number of the pattern views. If the same calibration pattern is shown in each view and it is fully visible, all the vectors will be the same. Although, it is possible to use partially occluded patterns, or even different patterns in different views. Then, the vectors will be different. The points are 3D, but since they are in a pattern coordinate system, then, if the rig is planar, it may make sense to put the model to a XY coordinate plane so that Z-coordinate of each input object point is 0. In the old interface all the vectors of object points from different views are concatenated together. imagePoints – In the new interface it is a vector of vectors of the projections of calibration pattern points.imagePoints.size() and objectPoints.size() and imagePoints[i].size() must be equal toobjectPoints[i].size() for each i. In the old interface all the vectors of object points from different views are concatenated together. point_counts – In the old interface this is a vector of integers, containing as many elements, as the number of views of the calibration pattern. Each element is the number of points in each view. Usually, all the elements are the same and equal to the number of feature points on the calibration pattern. imageSize – Size of the image used only to initialize the intrinsic camera matrix. cameraMatrix – Output 3x3 floating-point camera matrix  . IfCV_CALIB_USE_INTRINSIC_GUESS and/or CV_CALIB_FIX_ASPECT_RATIO are specified, some or all of fx, fy,cx, cy must be initialized before calling the function. distCoeffs – Output vector of distortion coefficients  of 4, 5, or 8 elements. rvecs – Output vector of rotation vectors (see Rodrigues() ) estimated for each pattern view. That is, each k-th rotation vector together with the corresponding k-th translation vector (see the next output parameter description) brings the calibration pattern from the model coordinate space (in which object points are specified) to the world coordinate space, that is, a real position of the calibration pattern in the k-th pattern view (k=0.. M -1). tvecs – Output vector of translation vectors estimated for each pattern view. flags – Different flags that may be zero or a combination of the following values: CV_CALIB_USE_INTRINSIC_GUESS cameraMatrix contains valid initial values of fx, fy, cx,cy that are optimized further. Otherwise, (cx, cy) is initially set to the image center (imageSize is used), and focal distances are computed in a least-squares fashion. Note, that if intrinsic parameters are known, there is no need to use this function just to estimate extrinsic parameters. Use solvePnP() instead. CV_CALIB_FIX_PRINCIPAL_POINT The principal point is not changed during the global optimization. It stays at the center or at a different location specified whenCV_CALIB_USE_INTRINSIC_GUESS is set too. CV_CALIB_FIX_ASPECT_RATIO The functions considers only fy as a free parameter. The ratiofx/fy stays the same as in the input cameraMatrix . When CV_CALIB_USE_INTRINSIC_GUESS is not set, the actual input values of fx and fy are ignored, only their ratio is computed and used further. CV_CALIB_ZERO_TANGENT_DIST Tangential distortion coefficients  are set to zeros and stay zero. CV_CALIB_FIX_K1,...,CV_CALIB_FIX_K6 The corresponding radial distortion coefficient is not changed during the optimization. If CV_CALIB_USE_INTRINSIC_GUESS is set, the coefficient from the supplied distCoeffs matrix is used. Otherwise, it is set to 0. CV_CALIB_RATIONAL_MODEL Coefficients k4, k5, and k6 are enabled. To provide the backward compatibility, this extra flag should be explicitly specified to make the calibration function use the rational model and return 8 coefficients. If the flag is not set, the function computes and returns only 5 distortion coefficients. criteria – Termination criteria for the iterative optimization algorithm. term_crit – same as criteria.

The function estimates the intrinsic camera parameters and extrinsic parameters for each of the views. The algorithm is based on [Zhang2000] and [BouguetMCT]. The coordinates of 3D object points and their corresponding 2D projections in each view must be specified. That may be achieved by using an object with a known geometry and easily detectable feature points. Such an object is called a calibration rig or calibration pattern, and OpenCV has built-in support for a chessboard as a calibration rig (see findChessboardCorners() ). Currently, initialization of intrinsic parameters (whenCV_CALIB_USE_INTRINSIC_GUESS is not set) is only implemented for planar calibration patterns (where Z-coordinates of the object points must be all zeros). 3D calibration rigs can also be used as long as initial cameraMatrix is provided.

The algorithm performs the following steps:

1. Compute the initial intrinsic parameters (the option only available for planar calibration patterns) or read them from the input parameters. The distortion coefficients are all set to zeros initially unless some of CV_CALIB_FIX_K? are specified.
2. Estimate the initial camera pose as if the intrinsic parameters have been already known. This is done using solvePnP().
3. Run the global Levenberg-Marquardt optimization algorithm to minimize the reprojection error, that is, the total sum of squared distances between the observed feature points imagePoints and the projected (using the current estimates for camera parameters and the poses) object points objectPoints. See projectPoints() for details.

The function returns the final re-projection error.

calibrationMatrixValues

Computes useful camera characteristics from the camera matrix.

C++: void  calibrationMatrixValues (InputArray  cameraMatrix, Size  imageSize, double  apertureWidth, double apertureHeight, double&  fovx, double&  fovy, double&  focalLength, Point2d&  principalPoint, double&  aspectRatio )

Python: cv2. calibrationMatrixValues (cameraMatrix, imageSize, apertureWidth, apertureHeight ) → fovx, fovy, focalLength, principalPoint, aspectRatio

Parameters:

cameraMatrix – Input camera matrix that can be estimated by calibrateCamera() orstereoCalibrate() . imageSize – Input image size in pixels. apertureWidth – Physical width in mm of the sensor. apertureHeight – Physical height in mm of the sensor. fovx – Output field of view in degrees along the horizontal sensor axis. fovy – Output field of view in degrees along the vertical sensor axis. focalLength – Focal length of the lens in mm. principalPoint – Principal point in mm. aspectRatio –

The function computes various useful camera characteristics from the previously estimated camera matrix.

composeRT

Combines two rotation-and-shift transformations.

C++: void  composeRT (InputArray  rvec1, InputArray  tvec1, InputArray  rvec2, InputArray  tvec2, OutputArray  rvec3, OutputArray  tvec3, OutputArray  dr3dr1=noArray(), OutputArray  dr3dt1=noArray(), OutputArray  dr3dr2=noArray(), OutputArray dr3dt2=noArray(), OutputArray  dt3dr1=noArray(), OutputArray  dt3dt1=noArray(), OutputArray  dt3dr2=noArray(), OutputArray dt3dt2=noArray()  )

Python: cv2. composeRT (rvec1, tvec1, rvec2, tvec2 [, rvec3[, tvec3[, dr3dr1[, dr3dt1[, dr3dr2[, dr3dt2[, dt3dr1[, dt3dt1[, dt3dr2[, dt3dt2]]]]]]]]]]) → rvec3, tvec3, dr3dr1, dr3dt1, dr3dr2, dr3dt2, dt3dr1, dt3dt1, dt3dr2, dt3dt2

Parameters:	rvec1 – First rotation vector. tvec1 – First translation vector. rvec2 – Second rotation vector. tvec2 – Second translation vector. rvec3 – Output rotation vector of the superposition. tvec3 – Output translation vector of the superposition. d*d* – Optional output derivatives of rvec3 or tvec3 with regard to rvec1, rvec2, tvec1 and tvec2, respectively.

The functions compute:

where  denotes a rotation vector to a rotation matrix transformation, and  denotes the inverse transformation. See Rodrigues() for details.

Also, the functions can compute the derivatives of the output vectors with regards to the input vectors (see matMulDeriv()). The functions are used inside stereoCalibrate() but can also be used in your own code where Levenberg-Marquardt or another gradient-based solver is used to optimize a function that contains a matrix multiplication.

computeCorrespondEpilines

For points in an image of a stereo pair, computes the corresponding epilines in the other image.

C++: void  computeCorrespondEpilines (InputArray  points, int  whichImage, InputArray  F, OutputArray  lines )

C: void  cvComputeCorrespondEpilines (const CvMat*  points, int  which_image, const CvMat*  fundamental_matrix, CvMat*  correspondent_lines )

Python: cv. ComputeCorrespondEpilines (points, whichImage, F, lines ) → None

Parameters:	points – Input points.  or  matrix of type CV_32FC2 or vector<Point2f> . whichImage – Index of the image (1 or 2) that contains the points . F – Fundamental matrix that can be estimated using findFundamentalMat() or stereoRectify() . lines – Output vector of the epipolar lines corresponding to the points in the other image. Each line is encoded by 3 numbers  .

For every point in one of the two images of a stereo pair, the function finds the equation of the corresponding epipolar line in the other image.

From the fundamental matrix definition (see findFundamentalMat() ), line  in the second image for the point  in the first image (when whichImage=1 ) is computed as:

And vice versa, when whichImage=2,  is computed from  as:

Line coefficients are defined up to a scale. They are normalized so that  .

convertPointsToHomogeneous

Converts points from Euclidean to homogeneous space.

C++: void  convertPointsToHomogeneous (InputArray  src, OutputArray  dst )

Python: cv2. convertPointsToHomogeneous (src [, dst]) → dst

Parameters:	src – Input vector of N-dimensional points. dst – Output vector of N+1-dimensional points.

The function converts points from Euclidean to homogeneous space by appending 1’s to the tuple of point coordinates. That is, each point (x1, x2, ..., xn) is converted to (x1, x2, ..., xn, 1).

convertPointsFromHomogeneous

Converts points from homogeneous to Euclidean space.

C++: void  convertPointsFromHomogeneous (InputArray  src, OutputArray  dst )

Python: cv2. convertPointsFromHomogeneous (src [, dst]) → dst

Parameters:	src – Input vector of N-dimensional points. dst – Output vector of N-1-dimensional points.

The function converts points homogeneous to Euclidean space using perspective projection. That is, each point (x1, x2, ...x(n-1), xn) is converted to (x1/xn, x2/xn, ..., x(n-1)/xn). When xn=0, the output point coordinates will be (0,0,0,...).

convertPointsHomogeneous

Converts points to/from homogeneous coordinates.

C++: void  convertPointsHomogeneous (InputArray  src, OutputArray  dst )

C: void  cvConvertPointsHomogeneous (const CvMat*  src, CvMat*  dst )

Python: cv. ConvertPointsHomogeneous (src, dst ) → None

Parameters:	src – Input array or vector of 2D, 3D, or 4D points. dst – Output vector of 2D, 3D, or 4D points.

The function converts 2D or 3D points from/to homogeneous coordinates by calling either convertPointsToHomogeneous() orconvertPointsFromHomogeneous().

correctMatches

Refines coordinates of corresponding points.

C++: void  correctMatches (InputArray  F, InputArray  points1, InputArray  points2, OutputArray  newPoints1, OutputArray newPoints2 )

Python: cv2. correctMatches (F, points1, points2 [, newPoints1[, newPoints2]]) → newPoints1, newPoints2

C: void  cvCorrectMatches (CvMat*  F, CvMat*  points1, CvMat*  points2, CvMat*  new_points1, CvMat*  new_points2 )

Parameters:	F – 3x3 fundamental matrix. points1 – 1xN array containing the first set of points. points2 – 1xN array containing the second set of points. newPoints1 – The optimized points1. newPoints2 – The optimized points2.

The function implements the Optimal Triangulation Method (see Multiple View Geometry for details). For each given point correspondence points1[i] <-> points2[i], and a fundamental matrix F, it computes the corrected correspondences newPoints1[i] <-> newPoints2[i] that minimize the geometric error (where  is the geometric distance between points  and ) subject to the epipolar constraint  .

decomposeProjectionMatrix

Decomposes a projection matrix into a rotation matrix and a camera matrix.

C++: void  decomposeProjectionMatrix (InputArray  projMatrix, OutputArray  cameraMatrix, OutputArray  rotMatrix, OutputArray  transVect, OutputArray  rotMatrixX=noArray(), OutputArray  rotMatrixY=noArray(), OutputArray rotMatrixZ=noArray(), OutputArray  eulerAngles=noArray()  )

Python: cv2. decomposeProjectionMatrix (projMatrix [, cameraMatrix[, rotMatrix[, transVect[, rotMatrixX[, rotMatrixY[, rotMatrixZ[, eulerAngles]]]]]]]) → cameraMatrix, rotMatrix, transVect, rotMatrixX, rotMatrixY, rotMatrixZ, eulerAngles

C: void  cvDecomposeProjectionMatrix (const CvMat*  projMatr, CvMat*  calibMatr, CvMat*  rotMatr, CvMat*  posVect, CvMat*  rotMatrX=NULL, CvMat*  rotMatrY=NULL, CvMat*  rotMatrZ=NULL, CvPoint3D64f*  eulerAngles=NULL  )

Python: cv. DecomposeProjectionMatrix (projMatrix, cameraMatrix, rotMatrix, transVect, rotMatrX=None, rotMatrY=None, rotMatrZ=None ) → eulerAngles

Parameters:

projMatrix – 3x4 input projection matrix P. cameraMatrix – Output 3x3 camera matrix K. rotMatrix – Output 3x3 external rotation matrix R. transVect – Output 4x1 translation vector T. rotMatrX – Optional 3x3 rotation matrix around x-axis. rotMatrY – Optional 3x3 rotation matrix around y-axis. rotMatrZ – Optional 3x3 rotation matrix around z-axis. eulerAngles – Optional three-element vector containing three Euler angles of rotation in degrees.

The function computes a decomposition of a projection matrix into a calibration and a rotation matrix and the position of a camera.

It optionally returns three rotation matrices, one for each axis, and three Euler angles that could be used in OpenGL. Note, there is always more than one sequence of rotations about the three principle axes that results in the same orientation of an object, eg. see [Slabaugh]. Returned tree rotation matrices and corresponding three Euler angules are only one of the possible solutions.

The function is based on RQDecomp3x3() .

drawChessboardCorners

Renders the detected chessboard corners.

C++: void  drawChessboardCorners (InputOutputArray  image, Size  patternSize, InputArray  corners, bool patternWasFound )

Python: cv2. drawChessboardCorners (image, patternSize, corners, patternWasFound ) → None

C: void  cvDrawChessboardCorners (CvArr*  image, CvSize  pattern_size, CvPoint2D32f*  corners, int  count, int pattern_was_found )

Python: cv. DrawChessboardCorners (image, patternSize, corners, patternWasFound ) → None

Parameters:

image – Destination image. It must be an 8-bit color image. patternSize – Number of inner corners per a chessboard row and column (patternSize =cv::Size(points_per_row,points_per_column)). corners – Array of detected corners, the output of findChessboardCorners. patternWasFound – Parameter indicating whether the complete board was found or not. The return value of findChessboardCorners() should be passed here.

The function draws individual chessboard corners detected either as red circles if the board was not found, or as colored corners connected with lines if the board was found.

findChessboardCorners

Finds the positions of internal corners of the chessboard.

C++: bool  findChessboardCorners (InputArray  image, Size  patternSize, OutputArray  corners, int flags=CALIB_CB_ADAPTIVE_THRESH+CALIB_CB_NORMALIZE_IMAGE  )

Python: cv2. findChessboardCorners (image, patternSize [, corners[, flags]]) → retval, corners

C: int  cvFindChessboardCorners (const void*  image, CvSize  pattern_size, CvPoint2D32f*  corners, int* corner_count=NULL, int  flags=CV_CALIB_CB_ADAPTIVE_THRESH+CV_CALIB_CB_NORMALIZE_IMAGE  )

Python: cv. FindChessboardCorners (image, patternSize, flags=CV_CALIB_CB_ADAPTIVE_THRESH ) → corners

Parameters:

image – Source chessboard view. It must be an 8-bit grayscale or color image. patternSize – Number of inner corners per a chessboard row and column ( patternSize =cvSize(points_per_row,points_per_colum) = cvSize(columns,rows) ). corners – Output array of detected corners. flags – Various operation flags that can be zero or a combination of the following values: CV_CALIB_CB_ADAPTIVE_THRESH Use adaptive thresholding to convert the image to black and white, rather than a fixed threshold level (computed from the average image brightness). CV_CALIB_CB_NORMALIZE_IMAGE Normalize the image gamma with equalizeHist() before applying fixed or adaptive thresholding. CV_CALIB_CB_FILTER_QUADS Use additional criteria (like contour area, perimeter, square-like shape) to filter out false quads extracted at the contour retrieval stage. CALIB_CB_FAST_CHECK Run a fast check on the image that looks for chessboard corners, and shortcut the call if none is found. This can drastically speed up the call in the degenerate condition when no chessboard is observed.

The function attempts to determine whether the input image is a view of the chessboard pattern and locate the internal chessboard corners. The function returns a non-zero value if all of the corners are found and they are placed in a certain order (row by row, left to right in every row). Otherwise, if the function fails to find all the corners or reorder them, it returns 0. For example, a regular chessboard has 8 x 8 squares and 7 x 7 internal corners, that is, points where the black squares touch each other. The detected coordinates are approximate, and to determine their positions more accurately, the function calls cornerSubPix(). You also may use the function cornerSubPix() with different parameters if returned coordinates are not accurate enough.

Sample usage of detecting and drawing chessboard corners:

Size patternsize(8,6); //interior number of corners Mat gray = ....; //source image vector<Point2f> corners; //this will be filled by the detected corners //CALIB_CB_FAST_CHECK saves a lot of time on images //that do not contain any chessboard corners bool patternfound = findChessboardCorners(gray, patternsize, corners, CALIB_CB_ADAPTIVE_THRESH + CALIB_CB_NORMALIZE_IMAGE + CALIB_CB_FAST_CHECK); if(patternfound) cornerSubPix(gray, corners, Size(11, 11), Size(-1, -1), TermCriteria(CV_TERMCRIT_EPS + CV_TERMCRIT_ITER, 30, 0.1)); drawChessboardCorners(img, patternsize, Mat(corners), patternfound); 

findCirclesGrid

Finds centers in the grid of circles.

C++: bool  findCirclesGrid (InputArray  image, Size  patternSize, OutputArray  centers, int flags=CALIB_CB_SYMMETRIC_GRID, const Ptr<FeatureDetector>&  blobDetector=new SimpleBlobDetector()  )

Python: cv2. findCirclesGridDefault (image, patternSize [, centers[, flags]]) → retval, centers

Parameters:

image – grid view of input circles; it must be an 8-bit grayscale or color image. patternSize – number of circles per row and column ( patternSize = Size(points_per_row,points_per_colum) ). centers – output array of detected centers. flags – various operation flags that can be one of the following values: CALIB_CB_SYMMETRIC_GRID uses symmetric pattern of circles. CALIB_CB_ASYMMETRIC_GRID uses asymmetric pattern of circles. CALIB_CB_CLUSTERING uses a special algorithm for grid detection. It is more robust to perspective distortions but much more sensitive to background clutter. blobDetector – feature detector that finds blobs like dark circles on light background.

The function attempts to determine whether the input image contains a grid of circles. If it is, the function locates centers of the circles. The function returns a non-zero value if all of the centers have been found and they have been placed in a certain order (row by row, left to right in every row). Otherwise, if the function fails to find all the corners or reorder them, it returns 0.

Sample usage of detecting and drawing the centers of circles:

Size patternsize(7,7); //number of centers Mat gray = ....; //source image vector<Point2f> centers; //this will be filled by the detected centers bool patternfound = findCirclesGrid(gray, patternsize, centers); drawChessboardCorners(img, patternsize, Mat(centers), patternfound); 

solvePnP

Finds an object pose from 3D-2D point correspondences.

C++: bool  solvePnP (InputArray  objectPoints, InputArray  imagePoints, InputArray  cameraMatrix, InputArray  distCoeffs, OutputArray  rvec, OutputArray  tvec, bool  useExtrinsicGuess=false, int  flags=ITERATIVE  )

Python: cv2. solvePnP (objectPoints, imagePoints, cameraMatrix, distCoeffs [, rvec[, tvec[, useExtrinsicGuess[, flags]]]]) → retval, rvec, tvec

C: void  cvFindExtrinsicCameraParams2 (const CvMat*  object_points, const CvMat*  image_points, const CvMat* camera_matrix, const CvMat*  distortion_coeffs, CvMat*  rotation_vector, CvMat*  translation_vector, int use_extrinsic_guess=0  )

Python: cv. FindExtrinsicCameraParams2 (objectPoints, imagePoints, cameraMatrix, distCoeffs, rvec, tvec, useExtrinsicGuess=0 ) → None

Parameters:

objectPoints – Array of object points in the object coordinate space, 3xN/Nx3 1-channel or 1xN/Nx1 3-channel, where N is the number of points. vector<Point3f> can be also passed here. imagePoints – Array of corresponding image points, 2xN/Nx2 1-channel or 1xN/Nx1 2-channel, where N is the number of points. vector<Point2f> can be also passed here. cameraMatrix – Input camera matrix  . distCoeffs – Input vector of distortion coefficients  of 4, 5, or 8 elements. If the vector is NULL/empty, the zero distortion coefficients are assumed. rvec – Output rotation vector (see Rodrigues() ) that, together with tvec , brings points from the model coordinate system to the camera coordinate system. tvec – Output translation vector. useExtrinsicGuess – If true (1), the function uses the provided rvec and tvec values as initial approximations of the rotation and translation vectors, respectively, and further optimizes them. flags – Method for solving a PnP problem: CV_ITERATIVE Iterative method is based on Levenberg-Marquardt optimization. In this case the function finds such a pose that minimizes reprojection error, that is the sum of squared distances between the observed projections imagePoints and the projected (using projectPoints() )objectPoints . CV_P3P Method is based on the paper of X.S. Gao, X.-R. Hou, J. Tang, H.-F. Chang “Complete Solution Classification for the Perspective-Three-Point Problem”. In this case the function requires exactly four object and image points. CV_EPNP Method has been introduced by F.Moreno-Noguer, V.Lepetit and P.Fua in the paper “EPnP: Efficient Perspective-n-Point Camera Pose Estimation”.

The function estimates the object pose given a set of object points, their corresponding image projections, as well as the camera matrix and the distortion coefficients.

solvePnPRansac

Finds an object pose from 3D-2D point correspondences using the RANSAC scheme.

C++: void  solvePnPRansac (InputArray  objectPoints, InputArray  imagePoints, InputArray  cameraMatrix, InputArray distCoeffs, OutputArray  rvec, OutputArray  tvec, bool  useExtrinsicGuess=false, int  iterationsCount=100, float reprojectionError=8.0, int  minInliersCount=100, OutputArray  inliers=noArray(), int  flags=ITERATIVE  )

Python: cv2. solvePnPRansac (objectPoints, imagePoints, cameraMatrix, distCoeffs [, rvec[, tvec[, useExtrinsicGuess[, iterationsCount[, reprojectionError[, minInliersCount[, inliers[, flags]]]]]]]]) → rvec, tvec, inliers

Parameters:

objectPoints – Array of object points in the object coordinate space, 3xN/Nx3 1-channel or 1xN/Nx1 3-channel, where N is the number of points. vector<Point3f> can be also passed here. imagePoints – Array of corresponding image points, 2xN/Nx2 1-channel or 1xN/Nx1 2-channel, where N is the number of points. vector<Point2f> can be also passed here. cameraMatrix – Input camera matrix  . distCoeffs – Input vector of distortion coefficients  of 4, 5, or 8 elements. If the vector is NULL/empty, the zero distortion coefficients are assumed. rvec – Output rotation vector (see Rodrigues() ) that, together with tvec , brings points from the model coordinate system to the camera coordinate system. tvec – Output translation vector. useExtrinsicGuess – If true (1), the function uses the provided rvec and tvec values as initial approximations of the rotation and translation vectors, respectively, and further optimizes them. iterationsCount – Number of iterations. reprojectionError – Inlier threshold value used by the RANSAC procedure. The parameter value is the maximum allowed distance between the observed and computed point projections to consider it an inlier. minInliersCount – Number of inliers. If the algorithm at some stage finds more inliers thanminInliersCount , it finishes. inliers – Output vector that contains indices of inliers in objectPoints and imagePoints . flags – Method for solving a PnP problem (see solvePnP() ).

The function estimates an object pose given a set of object points, their corresponding image projections, as well as the camera matrix and the distortion coefficients. This function finds such a pose that minimizes reprojection error, that is, the sum of squared distances between the observed projections imagePoints and the projected (using projectPoints() )objectPoints. The use of RANSAC makes the function resistant to outliers. The function is parallelized with the TBB library.

findFundamentalMat

Calculates a fundamental matrix from the corresponding points in two images.

C++: Mat  findFundamentalMat (InputArray  points1, InputArray  points2, int  method=FM_RANSAC, double  param1=3., double param2=0.99, OutputArray  mask=noArray()  )

Python: cv2. findFundamentalMat (points1, points2 [, method[, param1[, param2[, mask]]]]) → retval, mask

C: int  cvFindFundamentalMat (const CvMat*  points1, const CvMat*  points2, CvMat*  fundamental_matrix, int method=CV_FM_RANSAC, double  param1=3., double  param2=0.99, CvMat*  status=NULL  )

Python: cv. FindFundamentalMat (points1, points2, fundamentalMatrix, method=CV_FM_RANSAC, param1=1., param2=0.99, status=None ) → retval

Parameters:

points1 – Array of N points from the first image. The point coordinates should be floating-point (single or double precision). points2 – Array of the second image points of the same size and format as points1 . method – Method for computing a fundamental matrix. CV_FM_7POINT for a 7-point algorithm.  CV_FM_8POINT for an 8-point algorithm.  CV_FM_RANSAC for the RANSAC algorithm.  CV_FM_LMEDS for the LMedS algorithm.  param1 – Parameter used for RANSAC. It is the maximum distance from a point to an epipolar line in pixels, beyond which the point is considered an outlier and is not used for computing the final fundamental matrix. It can be set to something like 1-3, depending on the accuracy of the point localization, image resolution, and the image noise. param2 – Parameter used for the RANSAC or LMedS methods only. It specifies a desirable level of confidence (probability) that the estimated matrix is correct. status – Output array of N elements, every element of which is set to 0 for outliers and to 1 for the other points. The array is computed only in the RANSAC and LMedS methods. For other methods, it is set to all 1’s.

The epipolar geometry is described by the following equation:

where  is a fundamental matrix,  and  are corresponding points in the first and the second images, respectively.

The function calculates the fundamental matrix using one of four methods listed above and returns the found fundamental matrix. Normally just one matrix is found. But in case of the 7-point algorithm, the function may return up to 3 solutions ( matrix that stores all 3 matrices sequentially).

The calculated fundamental matrix may be passed further to computeCorrespondEpilines() that finds the epipolar lines corresponding to the specified points. It can also be passed to stereoRectifyUncalibrated() to compute the rectification transformation.

// Example. Estimation of fundamental matrix using the RANSAC algorithm
int point_count = 100; vector<Point2f> points1(point_count); vector<Point2f> points2(point_count); // initialize the points here ... */ for( int i = 0; i < point_count; i++ ) { points1[i] = ...; points2[i] = ...; } Mat fundamental_matrix = findFundamentalMat(points1, points2, FM_RANSAC, 3, 0.99); 

findHomography

Finds a perspective transformation between two planes.

C++: Mat  findHomography (InputArray  srcPoints, InputArray  dstPoints, int  method=0, double  ransacReprojThreshold=3, OutputArray  mask=noArray()  )

Python: cv2. findHomography (srcPoints, dstPoints [, method[, ransacReprojThreshold[, mask]]]) → retval, mask

C: int  cvFindHomography (const CvMat*  src_points, const CvMat*  dst_points, CvMat*  homography, int  method=0, double ransacReprojThreshold=3, CvMat*  mask=0  )

Python: cv. FindHomography (srcPoints, dstPoints, H, method=0, ransacReprojThreshold=3.0, status=None ) → None

Parameters:

srcPoints – Coordinates of the points in the original plane, a matrix of the type CV_32FC2 orvector<Point2f> . dstPoints – Coordinates of the points in the target plane, a matrix of the type CV_32FC2 or avector<Point2f> . method – Method used to computed a homography matrix. The following methods are possible: 0 - a regular method using all the points CV_RANSAC - RANSAC-based robust method CV_LMEDS - Least-Median robust method ransacReprojThreshold – Maximum allowed reprojection error to treat a point pair as an inlier (used in the RANSAC method only). That is, if then the point  is considered an outlier. If srcPoints and dstPoints are measured in pixels, it usually makes sense to set this parameter somewhere in the range of 1 to 10. mask – Optional output mask set by a robust method ( CV_RANSAC or CV_LMEDS ). Note that the input mask values are ignored.

The functions find and return the perspective transformation  between the source and the destination planes:

so that the back-projection error

is minimized. If the parameter method is set to the default value 0, the function uses all the point pairs to compute an initial homography estimate with a simple least-squares scheme.

However, if not all of the point pairs ( ,  ) fit the rigid perspective transformation (that is, there are some outliers), this initial estimate will be poor. In this case, you can use one of the two robust methods. Both methods, RANSAC and LMeDS , try many different random subsets of the corresponding point pairs (of four pairs each), estimate the homography matrix using this subset and a simple least-square algorithm, and then compute the quality/goodness of the computed homography (which is the number of inliers for RANSAC or the median re-projection error for LMeDs). The best subset is then used to produce the initial estimate of the homography matrix and the mask of inliers/outliers.

Regardless of the method, robust or not, the computed homography matrix is refined further (using inliers only in case of a robust method) with the Levenberg-Marquardt method to reduce the re-projection error even more.

The method RANSAC can handle practically any ratio of outliers but it needs a threshold to distinguish inliers from outliers. The method LMeDS does not need any threshold but it works correctly only when there are more than 50% of inliers. Finally, if there are no outliers and the noise is rather small, use the default method (method=0).

The function is used to find initial intrinsic and extrinsic matrices. Homography matrix is determined up to a scale. Thus, it is normalized so that . Note that whenever an H matrix cannot be estimated, an empty one will be returned.

estimateAffine3D

Computes an optimal affine transformation between two 3D point sets.

C++: int  estimateAffine3D (InputArray  src, InputArray  dst, OutputArray  out, OutputArray  inliers, double ransacThreshold=3, double  confidence=0.99 )

Python: cv2. estimateAffine3D (src, dst [, out[, inliers[, ransacThreshold[, confidence]]]]) → retval, out, inliers

Parameters:

src – First input 3D point set. dst – Second input 3D point set. out – Output 3D affine transformation matrix  . inliers – Output vector indicating which points are inliers. ransacThreshold – Maximum reprojection error in the RANSAC algorithm to consider a point as an inlier. confidence – Confidence level, between 0 and 1, for the estimated transformation. Anything between 0.95 and 0.99 is usually good enough. Values too close to 1 can slow down the estimation significantly. Values lower than 0.8-0.9 can result in an incorrectly estimated transformation.

The function estimates an optimal 3D affine transformation between two 3D point sets using the RANSAC algorithm.

filterSpeckles

Filters off small noise blobs (speckles) in the disparity map

C++: void  filterSpeckles (InputOutputArray  img, double  newVal, int  maxSpeckleSize, double  maxDiff, InputOutputArray buf=noArray()  )

Python: cv2. filterSpeckles (img, newVal, maxSpeckleSize, maxDiff [, buf]) → None

Parameters:

img – The input 16-bit signed disparity image newVal – The disparity value used to paint-off the speckles maxSpeckleSize – The maximum speckle size to consider it a speckle. Larger blobs are not affected by the algorithm maxDiff – Maximum difference between neighbor disparity pixels to put them into the same blob. Note that since StereoBM, StereoSGBM and may be other algorithms return a fixed-point disparity map, where disparity values are multiplied by 16, this scale factor should be taken into account when specifying this parameter value. buf – The optional temporary buffer to avoid memory allocation within the function.

getOptimalNewCameraMatrix

Returns the new camera matrix based on the free scaling parameter.

C++: Mat  getOptimalNewCameraMatrix (InputArray  cameraMatrix, InputArray  distCoeffs, Size  imageSize, double  alpha, Size  newImgSize=Size(), Rect*  validPixROI=0, bool  centerPrincipalPoint=false  )

Python: cv2. getOptimalNewCameraMatrix (cameraMatrix, distCoeffs, imageSize, alpha [, newImgSize[, centerPrincipalPoint]]) → retval, validPixROI

C: void  cvGetOptimalNewCameraMatrix (const CvMat*  camera_matrix, const CvMat*  dist_coeffs, CvSize  image_size, double  alpha, CvMat*  new_camera_matrix, CvSize  new_imag_size=cvSize(0,0), CvRect*  valid_pixel_ROI=0, int center_principal_point=0  )

Python: cv. GetOptimalNewCameraMatrix (cameraMatrix, distCoeffs, imageSize, alpha, newCameraMatrix, newImageSize=(0, 0), validPixROI=0, centerPrincipalPoint=0 ) → None

Parameters:

cameraMatrix – Input camera matrix. distCoeffs – Input vector of distortion coefficients  of 4, 5, or 8 elements. If the vector is NULL/empty, the zero distortion coefficients are assumed. imageSize – Original image size. alpha – Free scaling parameter between 0 (when all the pixels in the undistorted image are valid) and 1 (when all the source image pixels are retained in the undistorted image). See stereoRectify() for details. new_camera_matrix – Output new camera matrix. new_imag_size – Image size after rectification. By default,it is set to imageSize . validPixROI – Optional output rectangle that outlines all-good-pixels region in the undistorted image. See roi1, roi2 description in stereoRectify() . centerPrincipalPoint – Optional flag that indicates whether in the new camera matrix the principal point should be at the image center or not. By default, the principal point is chosen to best fit a subset of the source image (determined by alpha) to the corrected image.

The function computes and returns the optimal new camera matrix based on the free scaling parameter. By varying this parameter, you may retrieve only sensible pixels alpha=0 , keep all the original image pixels if there is valuable information in the corners alpha=1 , or get something in between. When alpha>0 , the undistortion result is likely to have some black pixels corresponding to “virtual” pixels outside of the captured distorted image. The original camera matrix, distortion coefficients, the computed new camera matrix, and newImageSize should be passed to initUndistortRectifyMap()to produce the maps for remap() .

initCameraMatrix2D

Finds an initial camera matrix from 3D-2D point correspondences.

C++: Mat  initCameraMatrix2D (InputArrayOfArrays  objectPoints, InputArrayOfArrays  imagePoints, Size  imageSize, double  aspectRatio=1. )

Python: cv2. initCameraMatrix2D (objectPoints, imagePoints, imageSize [, aspectRatio]) → retval

C: void  cvInitIntrinsicParams2D (const CvMat*  object_points, const CvMat*  image_points, const CvMat*  npoints, CvSize  image_size, CvMat*  camera_matrix, double  aspect_ratio=1.  )

Python: cv. InitIntrinsicParams2D (objectPoints, imagePoints, npoints, imageSize, cameraMatrix, aspectRatio=1. ) → None

Parameters:

objectPoints – Vector of vectors of the calibration pattern points in the calibration pattern coordinate space. In the old interface all the per-view vectors are concatenated. SeecalibrateCamera() for details. imagePoints – Vector of vectors of the projections of the calibration pattern points. In the old interface all the per-view vectors are concatenated. npoints – The integer vector of point counters for each view. imageSize – Image size in pixels used to initialize the principal point. aspectRatio – If it is zero or negative, both  and  are estimated independently. Otherwise, .

The function estimates and returns an initial camera matrix for the camera calibration process. Currently, the function only supports planar calibration patterns, which are patterns where each object point has z-coordinate =0.

matMulDeriv

Computes partial derivatives of the matrix product for each multiplied matrix.

C++: void  matMulDeriv (InputArray  A, InputArray  B, OutputArray  dABdA, OutputArray  dABdB )

Python: cv2. matMulDeriv (A, B [, dABdA[, dABdB]]) → dABdA, dABdB

Parameters:	A – First multiplied matrix. B – Second multiplied matrix. dABdA – First output derivative matrix d(A*B)/dA of size  . dABdB – Second output derivative matrix d(A*B)/dB of size  .

The function computes partial derivatives of the elements of the matrix product  with regard to the elements of each of the two input matrices. The function is used to compute the Jacobian matrices in stereoCalibrate() but can also be used in any other similar optimization function.

projectPoints

Projects 3D points to an image plane.

C++: void  projectPoints (InputArray  objectPoints, InputArray  rvec, InputArray  tvec, InputArray  cameraMatrix, InputArray  distCoeffs, OutputArray  imagePoints, OutputArray  jacobian=noArray(), double  aspectRatio=0  )

Python: cv2. projectPoints (objectPoints, rvec, tvec, cameraMatrix, distCoeffs [, imagePoints[, jacobian[, aspectRatio]]]) → imagePoints, jacobian

C: void  cvProjectPoints2 (const CvMat*  object_points, const CvMat*  rotation_vector, const CvMat* translation_vector, const CvMat*  camera_matrix, const CvMat*  distortion_coeffs, CvMat*  image_points, CvMat* dpdrot=NULL, CvMat*  dpdt=NULL, CvMat*  dpdf=NULL, CvMat*  dpdc=NULL, CvMat*  dpddist=NULL, double  aspect_ratio=0  )

Python: cv. ProjectPoints2 (objectPoints, rvec, tvec, cameraMatrix, distCoeffs, imagePoints, dpdrot=None, dpdt=None, dpdf=None, dpdc=None, dpddist=None ) → None

Parameters:

objectPoints – Array of object points, 3xN/Nx3 1-channel or 1xN/Nx1 3-channel (or vector<Point3f> ), where N is the number of points in the view. rvec – Rotation vector. See Rodrigues() for details. tvec – Translation vector. cameraMatrix – Camera matrix  . distCoeffs – Input vector of distortion coefficients  of 4, 5, or 8 elements. If the vector is NULL/empty, the zero distortion coefficients are assumed. imagePoints – Output array of image points, 2xN/Nx2 1-channel or 1xN/Nx1 2-channel, orvector<Point2f> . jacobian – Optional output 2Nx(10+<numDistCoeffs>) jacobian matrix of derivatives of image points with respect to components of the rotation vector, translation vector, focal lengths, coordinates of the principal point and the distortion coefficients. In the old interface different components of the jacobian are returned via different output parameters. aspectRatio – Optional “fixed aspect ratio” parameter. If the parameter is not 0, the function assumes that the aspect ratio (fx/fy) is fixed and correspondingly adjusts the jacobian matrix.

The function computes projections of 3D points to the image plane given intrinsic and extrinsic camera parameters. Optionally, the function computes Jacobians - matrices of partial derivatives of image points coordinates (as functions of all the input parameters) with respect to the particular parameters, intrinsic and/or extrinsic. The Jacobians are used during the global optimization in calibrateCamera(), solvePnP(), and stereoCalibrate() . The function itself can also be used to compute a re-projection error given the current intrinsic and extrinsic parameters.

reprojectImageTo3D

Reprojects a disparity image to 3D space.

C++: void  reprojectImageTo3D (InputArray  disparity, OutputArray  _3dImage, InputArray  Q, bool handleMissingValues=false, int  ddepth=-1  )

Python: cv2. reprojectImageTo3D (disparity, Q [, _3dImage[, handleMissingValues[, ddepth]]]) → _3dImage

C: void  cvReprojectImageTo3D (const CvArr*  disparityImage, CvArr*  _3dImage, const CvMat*  Q, int handleMissingValues=0  )

Python: cv. ReprojectImageTo3D (disparity, _3dImage, Q, handleMissingValues=0 ) → None

Parameters:

disparity – Input single-channel 8-bit unsigned, 16-bit signed, 32-bit signed or 32-bit floating-point disparity image. _3dImage – Output 3-channel floating-point image of the same size as disparity . Each element of_3dImage(x,y) contains 3D coordinates of the point (x,y) computed from the disparity map. Q –  perspective transformation matrix that can be obtained with stereoRectify(). handleMissingValues – Indicates, whether the function should handle missing values (i.e. points where the disparity was not computed). If handleMissingValues=true, then pixels with the minimal disparity that corresponds to the outliers (see StereoBM::operator() ) are transformed to 3D points with a very large Z value (currently set to 10000). ddepth – The optional output array depth. If it is -1, the output image will have CV_32F depth.ddepth can also be set to CV_16S, CV_32S or CV_32F.

The function transforms a single-channel disparity map to a 3-channel image representing a 3D surface. That is, for each pixel (x,y) andthe corresponding disparity d=disparity(x,y) , it computes:

The matrix Q can be an arbitrary  matrix (for example, the one computed by stereoRectify()). To reproject a sparse set of points {(x,y,d),...} to 3D space, use perspectiveTransform() .

RQDecomp3x3

Computes an RQ decomposition of 3x3 matrices.

C++: Vec3d  RQDecomp3x3 (InputArray  src, OutputArray  mtxR, OutputArray  mtxQ, OutputArray  Qx=noArray(), OutputArray Qy=noArray(), OutputArray  Qz=noArray()  )

Python: cv2. RQDecomp3x3 (src [, mtxR[, mtxQ[, Qx[, Qy[, Qz]]]]]) → retval, mtxR, mtxQ, Qx, Qy, Qz

C: void  cvRQDecomp3x3 (const CvMat*  matrixM, CvMat*  matrixR, CvMat*  matrixQ, CvMat*  matrixQx=NULL, CvMat* matrixQy=NULL, CvMat*  matrixQz=NULL, CvPoint3D64f*  eulerAngles=NULL  )

Python: cv. RQDecomp3x3 (M, R, Q, Qx=None, Qy=None, Qz=None ) → eulerAngles

Parameters:	src – 3x3 input matrix. mtxR – Output 3x3 upper-triangular matrix. mtxQ – Output 3x3 orthogonal matrix. Qx – Optional output 3x3 rotation matrix around x-axis. Qy – Optional output 3x3 rotation matrix around y-axis. Qz – Optional output 3x3 rotation matrix around z-axis.

The function computes a RQ decomposition using the given rotations. This function is used in decomposeProjectionMatrix()to decompose the left 3x3 submatrix of a projection matrix into a camera and a rotation matrix.

It optionally returns three rotation matrices, one for each axis, and the three Euler angles in degrees (as the return value) that could be used in OpenGL. Note, there is always more than one sequence of rotations about the three principle axes that results in the same orientation of an object, eg. see [Slabaugh]. Returned tree rotation matrices and corresponding three Euler angules are only one of the possible solutions.

Rodrigues

Converts a rotation matrix to a rotation vector or vice versa.

C++: void  Rodrigues (InputArray  src, OutputArray  dst, OutputArray  jacobian=noArray() )

Python: cv2. Rodrigues (src [, dst[, jacobian]]) → dst, jacobian

C: int  cvRodrigues2 (const CvMat*  src, CvMat*  dst, CvMat*  jacobian=0  )

Python: cv. Rodrigues2 (src, dst, jacobian=0 ) → None

Parameters:	src – Input rotation vector (3x1 or 1x3) or rotation matrix (3x3). dst – Output rotation matrix (3x3) or rotation vector (3x1 or 1x3), respectively. jacobian – Optional output Jacobian matrix, 3x9 or 9x3, which is a matrix of partial derivatives of the output array components with respect to the input array components.

Inverse transformation can be also done easily, since

A rotation vector is a convenient and most compact representation of a rotation matrix (since any rotation matrix has just 3 degrees of freedom). The representation is used in the global 3D geometry optimization procedures like calibrateCamera(),stereoCalibrate(), or solvePnP() .

StereoBM

class  StereoBM

Class for computing stereo correspondence using the block matching algorithm.

// Block matching stereo correspondence algorithm class StereoBM
{enum { NORMALIZED_RESPONSE = CV_STEREO_BM_NORMALIZED_RESPONSE, BASIC_PRESET=CV_STEREO_BM_BASIC, FISH_EYE_PRESET=CV_STEREO_BM_FISH_EYE, NARROW_PRESET=CV_STEREO_BM_NARROW }; StereoBM(); // the preset is one of ..._PRESET above. // ndisparities is the size of disparity range, // in which the optimal disparity at each pixel is searched for. // SADWindowSize is the size of averaging window used to match pixel blocks // (larger values mean better robustness to noise, but yield blurry disparity maps) StereoBM(int preset, int ndisparities=0, int SADWindowSize=21); // separate initialization function void init(int preset, int ndisparities=0, int SADWindowSize=21); // computes the disparity for the two rectified 8-bit single-channel images. // the disparity will be 16-bit signed (fixed-point) or 32-bit floating-point image of the same size as left. void operator()( InputArray left, InputArray right, OutputArray disparity, int disptype=CV_16S ); Ptr<CvStereoBMState> state; }; 

The class is a C++ wrapper for the associated functions. In particular, StereoBM::operator() is the wrapper forcvFindStereoCorrespondenceBM().

StereoBM::StereoBM

The constructors.

C++: StereoBM:: StereoBM ( )

C++: StereoBM:: StereoBM (int  preset, int  ndisparities=0, int  SADWindowSize=21 )

Python: cv2. StereoBM ( [preset[, ndisparities[, SADWindowSize]]]) → <StereoBM object>

C: CvStereoBMState*  cvCreateStereoBMState (int  preset=CV_STEREO_BM_BASIC, int  numberOfDisparities=0  )

Python: cv. CreateStereoBMState (preset=CV_STEREO_BM_BASIC, numberOfDisparities=0 ) → CvStereoBMState

Parameters:

preset – specifies the whole set of algorithm parameters, one of: BASIC_PRESET - parameters suitable for general cameras FISH_EYE_PRESET - parameters suitable for wide-angle cameras NARROW_PRESET - parameters suitable for narrow-angle cameras After constructing the class, you can override any parameters set by the preset. ndisparities – the disparity search range. For each pixel algorithm will find the best disparity from 0 (default minimum disparity) to ndisparities. The search range can then be shifted by changing the minimum disparity. SADWindowSize – the linear size of the blocks compared by the algorithm. The size should be odd (as the block is centered at the current pixel). Larger block size implies smoother, though less accurate disparity map. Smaller block size gives more detailed disparity map, but there is higher chance for algorithm to find a wrong correspondence.

The constructors initialize StereoBM state. You can then call StereoBM::operator() to compute disparity for a specific stereo pair.

StereoBM::operator()

Computes disparity using the BM algorithm for a rectified stereo pair.

C++: void  StereoBM:: operator() (InputArray  left, InputArray  right, OutputArray  disparity, int  disptype=CV_16S  )

Python: cv2.StereoBM. compute (left, right [, disparity[, disptype]]) → disparity

C: void  cvFindStereoCorrespondenceBM (const CvArr*  left, const CvArr*  right, CvArr*  disparity, CvStereoBMState* state )

Python: cv. FindStereoCorrespondenceBM (left, right, disparity, state ) → None

Parameters:

left – Left 8-bit single-channel image. right – Right image of the same size and the same type as the left one. disparity – Output disparity map. It has the same size as the input images. When disptype==CV_16S, the map is a 16-bit signed single-channel image, containing disparity values scaled by 16. To get the true disparity values from such fixed-point representation, you will need to divide each disp element by 16. If disptype==CV_32F, the disparity map will already contain the real disparity values on output. disptype – Type of the output disparity map, CV_16S (default) or CV_32F. state – The pre-initialized CvStereoBMState structure in the case of the old API.

The method executes the BM algorithm on a rectified stereo pair. See the stereo_match.cpp OpenCV sample on how to prepare images and call the method. Note that the method is not constant, thus you should not use the same StereoBM instance from within different threads simultaneously. The function is parallelized with the TBB library.

StereoSGBM

class  StereoSGBM

Class for computing stereo correspondence using the semi-global block matching algorithm.

class StereoSGBM
{StereoSGBM();StereoSGBM(int minDisparity, int numDisparities, int SADWindowSize, int P1=0, int P2=0, int disp12MaxDiff=0, int preFilterCap=0, int uniquenessRatio=0, int speckleWindowSize=0, int speckleRange=0, bool fullDP=false); virtual ~StereoSGBM(); virtual void operator()(InputArray left, InputArray right, OutputArray disp); int minDisparity; int numberOfDisparities; int SADWindowSize; int preFilterCap; int uniquenessRatio; int P1, P2; int speckleWindowSize; int speckleRange; int disp12MaxDiff; bool fullDP; ... }; 

The class implements the modified H. Hirschmuller algorithm [HH08] that differs from the original one as follows:

• By default, the algorithm is single-pass, which means that you consider only 5 directions instead of 8. SetfullDP=true to run the full variant of the algorithm but beware that it may consume a lot of memory.
• The algorithm matches blocks, not individual pixels. Though, setting SADWindowSize=1 reduces the blocks to single pixels.
• Mutual information cost function is not implemented. Instead, a simpler Birchfield-Tomasi sub-pixel metric from [BT98] is used. Though, the color images are supported as well.
• Some pre- and post- processing steps from K. Konolige algorithm StereoBM::operator() are included, for example: pre-filtering (CV_STEREO_BM_XSOBEL type) and post-filtering (uniqueness check, quadratic interpolation and speckle filtering).

StereoSGBM::StereoSGBM

C++: StereoSGBM:: StereoSGBM ( )

C++: StereoSGBM:: StereoSGBM (int  minDisparity, int  numDisparities, int  SADWindowSize, int  P1=0, int  P2=0, int disp12MaxDiff=0, int  preFilterCap=0, int  uniquenessRatio=0, int  speckleWindowSize=0, int  speckleRange=0, bool fullDP=false )

Python: cv2. StereoSGBM ( [minDisparity, numDisparities, SADWindowSize[, P1[, P2[, disp12MaxDiff[, preFilterCap[, uniquenessRatio[, speckleWindowSize[, speckleRange[, fullDP]]]]]]]]]) → <StereoSGBM object>

Initializes StereoSGBM and sets parameters to custom values.??

Parameters:

minDisparity – Minimum possible disparity value. Normally, it is zero but sometimes rectification algorithms can shift images, so this parameter needs to be adjusted accordingly. numDisparities – Maximum disparity minus minimum disparity. The value is always greater than zero. In the current implementation, this parameter must be divisible by 16. SADWindowSize – Matched block size. It must be an odd number >=1 . Normally, it should be somewhere in the 3..11 range. P1 – The first parameter controlling the disparity smoothness. See below. P2 – The second parameter controlling the disparity smoothness. The larger the values are, the smoother the disparity is. P1 is the penalty on the disparity change by plus or minus 1 between neighbor pixels. P2 is the penalty on the disparity change by more than 1 between neighbor pixels. The algorithm requires P2 > P1 . See stereo_match.cpp sample where some reasonably good P1 and P2 values are shown (like 8*number_of_image_channels*SADWindowSize*SADWindowSize and32*number_of_image_channels*SADWindowSize*SADWindowSize , respectively). disp12MaxDiff – Maximum allowed difference (in integer pixel units) in the left-right disparity check. Set it to a non-positive value to disable the check. preFilterCap – Truncation value for the prefiltered image pixels. The algorithm first computes x-derivative at each pixel and clips its value by [-preFilterCap, preFilterCap] interval. The result values are passed to the Birchfield-Tomasi pixel cost function. uniquenessRatio – Margin in percentage by which the best (minimum) computed cost function value should “win” the second best value to consider the found match correct. Normally, a value within the 5-15 range is good enough. speckleWindowSize – Maximum size of smooth disparity regions to consider their noise speckles and invalidate. Set it to 0 to disable speckle filtering. Otherwise, set it somewhere in the 50-200 range. speckleRange – Maximum disparity variation within each connected component. If you do speckle filtering, set the parameter to a positive value, it will be implicitly multiplied by 16. Normally, 1 or 2 is good enough. fullDP – Set it to true to run the full-scale two-pass dynamic programming algorithm. It will consume O(W*H*numDisparities) bytes, which is large for 640x480 stereo and huge for HD-size pictures. By default, it is set to false .

The first constructor initializes StereoSGBM with all the default parameters. So, you only have to setStereoSGBM::numberOfDisparities at minimum. The second constructor enables you to set each parameter to a custom value.

StereoSGBM::operator ()

C++: void  StereoSGBM:: operator() (InputArray  left, InputArray  right, OutputArray  disp )

Python: cv2.StereoSGBM. compute (left, right [, disp]) → disp

Computes disparity using the SGBM algorithm for a rectified stereo pair.

Parameters:	left – Left 8-bit single-channel or 3-channel image. right – Right image of the same size and the same type as the left one. disp – Output disparity map. It is a 16-bit signed single-channel image of the same size as the input image. It contains disparity values scaled by 16. So, to get the floating-point disparity map, you need to divide each disp element by 16.

The method executes the SGBM algorithm on a rectified stereo pair. See stereo_match.cpp OpenCV sample on how to prepare images and call the method.

stereoCalibrate

Calibrates the stereo camera.

C++: double  stereoCalibrate (InputArrayOfArrays  objectPoints, InputArrayOfArrays  imagePoints1, InputArrayOfArrays imagePoints2, InputOutputArray  cameraMatrix1, InputOutputArray  distCoeffs1, InputOutputArray  cameraMatrix2, InputOutputArray  distCoeffs2, Size  imageSize, OutputArray  R, OutputArray  T, OutputArray  E, OutputArray  F, TermCriteria criteria=TermCriteria(TermCriteria::COUNT+TermCriteria::EPS, 30, 1e-6), int  flags=CALIB_FIX_INTRINSIC  )

Python: cv2. stereoCalibrate (objectPoints, imagePoints1, imagePoints2, imageSize [, cameraMatrix1[, distCoeffs1[, cameraMatrix2[, distCoeffs2[, R[, T[, E[, F[, criteria[, flags]]]]]]]]]]) → retval, cameraMatrix1, distCoeffs1, cameraMatrix2, distCoeffs2, R, T, E, F

C: double  cvStereoCalibrate (const CvMat*  object_points, const CvMat*  image_points1, const CvMat*  image_points2, const CvMat*  npoints, CvMat*  camera_matrix1, CvMat*  dist_coeffs1, CvMat*  camera_matrix2, CvMat*  dist_coeffs2, CvSize image_size, CvMat*  R, CvMat*  T, CvMat*  E=0, CvMat*  F=0, CvTermCriteria  term_crit=cvTermCriteria( CV_TERMCRIT_ITER+CV_TERMCRIT_EPS,30,1e-6), int  flags=CV_CALIB_FIX_INTRINSIC  )

Python: cv. StereoCalibrate (objectPoints, imagePoints1, imagePoints2, pointCounts, cameraMatrix1, distCoeffs1, cameraMatrix2, distCoeffs2, imageSize, R, T, E=None, F=None, term_crit=(CV_TERMCRIT_ITER+CV_TERMCRIT_EPS, 30, 1e-6), flags=CV_CALIB_FIX_INTRINSIC ) → None

Parameters:

objectPoints – Vector of vectors of the calibration pattern points. imagePoints1 – Vector of vectors of the projections of the calibration pattern points, observed by the first camera. imagePoints2 – Vector of vectors of the projections of the calibration pattern points, observed by the second camera. cameraMatrix1 – Input/output first camera matrix:  ,  . If any ofCV_CALIB_USE_INTRINSIC_GUESS , CV_CALIB_FIX_ASPECT_RATIO , CV_CALIB_FIX_INTRINSIC , orCV_CALIB_FIX_FOCAL_LENGTH are specified, some or all of the matrix components must be initialized. See the flags description for details. distCoeffs1 – Input/output vector of distortion coefficients  of 4, 5, or 8 elements. The output vector length depends on the flags. cameraMatrix2 – Input/output second camera matrix. The parameter is similar to cameraMatrix1 . distCoeffs2 – Input/output lens distortion coefficients for the second camera. The parameter is similar to distCoeffs1 . imageSize – Size of the image used only to initialize intrinsic camera matrix. R – Output rotation matrix between the 1st and the 2nd camera coordinate systems. T – Output translation vector between the coordinate systems of the cameras. E – Output essential matrix. F – Output fundamental matrix. term_crit – Termination criteria for the iterative optimization algorithm. flags – Different flags that may be zero or a combination of the following values: CV_CALIB_FIX_INTRINSIC Fix cameraMatrix? and distCoeffs? so that only R, T, E , and F matrices are estimated. CV_CALIB_USE_INTRINSIC_GUESS Optimize some or all of the intrinsic parameters according to the specified flags. Initial values are provided by the user. CV_CALIB_FIX_PRINCIPAL_POINT Fix the principal points during the optimization. CV_CALIB_FIX_FOCAL_LENGTH Fix  and  . CV_CALIB_FIX_ASPECT_RATIO Optimize  . Fix the ratio  . CV_CALIB_SAME_FOCAL_LENGTH Enforce  and  . CV_CALIB_ZERO_TANGENT_DIST Set tangential distortion coefficients for each camera to zeros and fix there. CV_CALIB_FIX_K1,...,CV_CALIB_FIX_K6 Do not change the corresponding radial distortion coefficient during the optimization. If CV_CALIB_USE_INTRINSIC_GUESS is set, the coefficient from the supplieddistCoeffs matrix is used. Otherwise, it is set to 0. CV_CALIB_RATIONAL_MODEL Enable coefficients k4, k5, and k6. To provide the backward compatibility, this extra flag should be explicitly specified to make the calibration function use the rational model and return 8 coefficients. If the flag is not set, the function computes and returns only 5 distortion coefficients.

The function estimates transformation between two cameras making a stereo pair. If you have a stereo camera where the relative position and orientation of two cameras is fixed, and if you computed poses of an object relative to the first camera and to the second camera, (R1, T1) and (R2, T2), respectively (this can be done with solvePnP() ), then those poses definitely relate to each other. This means that, given ( ,:math:T_1 ), it should be possible to compute ( ,:math:T_2 ). You only need to know the position and orientation of the second camera relative to the first camera. This is what the described function does. It computes ( ,:math:T ) so that:

Optionally, it computes the essential matrix E:

where  are components of the translation vector  :  . And the function can also compute the fundamental matrix F:

Besides the stereo-related information, the function can also perform a full calibration of each of two cameras. However, due to the high dimensionality of the parameter space and noise in the input data, the function can diverge from the correct solution. If the intrinsic parameters can be estimated with high accuracy for each of the cameras individually (for example, using calibrateCamera() ), you are recommended to do so and then pass CV_CALIB_FIX_INTRINSIC flag to the function along with the computed intrinsic parameters. Otherwise, if all the parameters are estimated at once, it makes sense to restrict some parameters, for example, pass CV_CALIB_SAME_FOCAL_LENGTH and CV_CALIB_ZERO_TANGENT_DIST flags, which is usually a reasonable assumption.

Similarly to calibrateCamera() , the function minimizes the total re-projection error for all the points in all the available views from both cameras. The function returns the final value of the re-projection error.

stereoRectify

Computes rectification transforms for each head of a calibrated stereo camera.

C++: void  stereoRectify (InputArray  cameraMatrix1, InputArray  distCoeffs1, InputArray  cameraMatrix2, InputArray distCoeffs2, Size  imageSize, InputArray  R, InputArray  T, OutputArray  R1, OutputArray  R2, OutputArray  P1, OutputArray  P2, OutputArray  Q, int  flags=CALIB_ZERO_DISPARITY, double  alpha=-1, Size  newImageSize=Size(), Rect*  validPixROI1=0, Rect* validPixROI2=0  )

C: void  cvStereoRectify (const CvMat*  camera_matrix1, const CvMat*  camera_matrix2, const CvMat*  dist_coeffs1, const CvMat*  dist_coeffs2, CvSize  image_size, const CvMat*  R, const CvMat*  T, CvMat*  R1, CvMat*  R2, CvMat*  P1, CvMat*  P2, CvMat*  Q=0, int  flags=CV_CALIB_ZERO_DISPARITY, double  alpha=-1, CvSize  new_image_size=cvSize(0,0), CvRect* valid_pix_ROI1=0, CvRect*  valid_pix_ROI2=0  )

Python: cv. StereoRectify (cameraMatrix1, cameraMatrix2, distCoeffs1, distCoeffs2, imageSize, R, T, R1, R2, P1, P2, Q=None, flags=CV_CALIB_ZERO_DISPARITY, alpha=-1, newImageSize=(0, 0)) -> (roi1, roi2 )

Parameters:

cameraMatrix1 – First camera matrix. cameraMatrix2 – Second camera matrix. distCoeffs1 – First camera distortion parameters. distCoeffs2 – Second camera distortion parameters. imageSize – Size of the image used for stereo calibration. R – Rotation matrix between the coordinate systems of the first and the second cameras. T – Translation vector between coordinate systems of the cameras. R1 – Output 3x3 rectification transform (rotation matrix) for the first camera. R2 – Output 3x3 rectification transform (rotation matrix) for the second camera. P1 – Output 3x4 projection matrix in the new (rectified) coordinate systems for the first camera. P2 – Output 3x4 projection matrix in the new (rectified) coordinate systems for the second camera. Q – Output  disparity-to-depth mapping matrix (see reprojectImageTo3D() ). flags – Operation flags that may be zero or CV_CALIB_ZERO_DISPARITY . If the flag is set, the function makes the principal points of each camera have the same pixel coordinates in the rectified views. And if the flag is not set, the function may still shift the images in the horizontal or vertical direction (depending on the orientation of epipolar lines) to maximize the useful image area. alpha – Free scaling parameter. If it is -1 or absent, the function performs the default scaling. Otherwise, the parameter should be between 0 and 1. alpha=0 means that the rectified images are zoomed and shifted so that only valid pixels are visible (no black areas after rectification). alpha=1 means that the rectified image is decimated and shifted so that all the pixels from the original images from the cameras are retained in the rectified images (no source image pixels are lost). Obviously, any intermediate value yields an intermediate result between those two extreme cases. newImageSize – New image resolution after rectification. The same size should be passed toinitUndistortRectifyMap() (see the stereo_calib.cpp sample in OpenCV samples directory). When (0,0) is passed (default), it is set to the original imageSize . Setting it to larger value can help you preserve details in the original image, especially when there is a big radial distortion. validPixROI1 – Optional output rectangles inside the rectified images where all the pixels are valid. If alpha=0 , the ROIs cover the whole images. Otherwise, they are likely to be smaller (see the picture below). validPixROI2 – Optional output rectangles inside the rectified images where all the pixels are valid. If alpha=0 , the ROIs cover the whole images. Otherwise, they are likely to be smaller (see the picture below).

The function computes the rotation matrices for each camera that (virtually) make both camera image planes the same plane. Consequently, this makes all the epipolar lines parallel and thus simplifies the dense stereo correspondence problem. The function takes the matrices computed by stereoCalibrate() as input. As output, it provides two rotation matrices and also two projection matrices in the new coordinates. The function distinguishes the following two cases:

1. Horizontal stereo: the first and the second camera views are shifted relative to each other mainly along the x axis (with possible small vertical shift). In the rectified images, the corresponding epipolar lines in the left and right cameras are horizontal and have the same y-coordinate. P1 and P2 look like:

   

   

   where  is a horizontal shift between the cameras and  if CV_CALIB_ZERO_DISPARITY is set.

2. Vertical stereo: the first and the second camera views are shifted relative to each other mainly in vertical direction (and probably a bit in the horizontal direction too). The epipolar lines in the rectified images are vertical and have the same x-coordinate. P1 and P2 look like:

   

   

   where  is a vertical shift between the cameras and  if CALIB_ZERO_DISPARITY is set.

As you can see, the first three columns of P1 and P2 will effectively be the new “rectified” camera matrices. The matrices, together with R1 and R2 , can then be passed to initUndistortRectifyMap() to initialize the rectification map for each camera.

See below the screenshot from the stereo_calib.cpp sample. Some red horizontal lines pass through the corresponding image regions. This means that the images are well rectified, which is what most stereo correspondence algorithms rely on. The green rectangles are roi1 and roi2 . You see that their interiors are all valid pixels.

stereoRectifyUncalibrated

Computes a rectification transform for an uncalibrated stereo camera.

C++: bool  stereoRectifyUncalibrated (InputArray  points1, InputArray  points2, InputArray  F, Size  imgSize, OutputArray  H1, OutputArray  H2, double  threshold=5  )

Python: cv2. stereoRectifyUncalibrated (points1, points2, F, imgSize [, H1[, H2[, threshold]]]) → retval, H1, H2

C: int  cvStereoRectifyUncalibrated (const CvMat*  points1, const CvMat*  points2, const CvMat*  F, CvSize  img_size, CvMat*  H1, CvMat*  H2, double  threshold=5  )

Python: cv. StereoRectifyUncalibrated (points1, points2, F, imageSize, H1, H2, threshold=5 ) → None

Parameters:

points1 – Array of feature points in the first image. points2 – The corresponding points in the second image. The same formats as infindFundamentalMat() are supported. F – Input fundamental matrix. It can be computed from the same set of point pairs usingfindFundamentalMat() . imgSize – Size of the image. H1 – Output rectification homography matrix for the first image. H2 – Output rectification homography matrix for the second image. threshold – Optional threshold used to filter out the outliers. If the parameter is greater than zero, all the point pairs that do not comply with the epipolar geometry (that is, the points for which ) are rejected prior to computing the homographies. Otherwise,all the points are considered inliers.

The function computes the rectification transformations without knowing intrinsic parameters of the cameras and their relative position in the space, which explains the suffix “uncalibrated”. Another related difference fromstereoRectify() is that the function outputs not the rectification transformations in the object (3D) space, but the planar perspective transformations encoded by the homography matrices H1 and H2 . The function implements the algorithm[Hartley99].

triangulatePoints

Reconstructs points by triangulation.

C++: void  triangulatePoints (InputArray  projMatr1, InputArray  projMatr2, InputArray  projPoints1, InputArray projPoints2, OutputArray  points4D )

Python: cv2. triangulatePoints (projMatr1, projMatr2, projPoints1, projPoints2 [, points4D]) → points4D

C: void  cvTriangulatePoints (CvMat*  projMatr1, CvMat*  projMatr2, CvMat*  projPoints1, CvMat*  projPoints2, CvMat* points4D )

Parameters:

projMatr1 – 3x4 projection matrix of the first camera. projMatr2 – 3x4 projection matrix of the second camera. projPoints1 – 2xN array of feature points in the first image. In case of c++ version it can be also a vector of feature points or two-channel matrix of size 1xN or Nx1. projPoints2 – 2xN array of corresponding points in the second image. In case of c++ version it can be also a vector of feature points or two-channel matrix of size 1xN or Nx1. points4D – 4xN array of reconstructed points in homogeneous coordinates.

The function reconstructs 3-dimensional points (in homogeneous coordinates) by using their observations with a stereo camera. Projections matrices can be obtained from stereoRectify().

fisheye

The methods in this namespace use a so-called fisheye camera model.

namespace fisheye
{//! projects 3D points using fisheye modelvoid projectPoints(InputArray objectPoints, OutputArray imagePoints, const Affine3d& affine, InputArray K, InputArray D, double alpha = 0, OutputArray jacobian = noArray()); //! projects points using fisheye model void projectPoints(InputArray objectPoints, OutputArray imagePoints, InputArray rvec, InputArray tvec, InputArray K, InputArray D, double alpha = 0, OutputArray jacobian = noArray()); //! distorts 2D points using fisheye model void distortPoints(InputArray undistorted, OutputArray distorted, InputArray K, InputArray D, double alpha = 0); //! undistorts 2D points using fisheye model void undistortPoints(InputArray distorted, OutputArray undistorted, InputArray K, InputArray D, InputArray R = noArray(), InputArray P = noArray()); //! computing undistortion and rectification maps for image transform by cv::remap() //! If D is empty zero distortion is used, if R or P is empty identity matrixes are used void initUndistortRectifyMap(InputArray K, InputArray D, InputArray R, InputArray P, const cv::Size& size, int m1type, OutputArray map1, OutputArray map2); //! undistorts image, optionally changes resolution and camera matrix. void undistortImage(InputArray distorted, OutputArray undistorted, InputArray K, InputArray D, InputArray Knew = cv::noArray(), const Size& new_size = Size()); //! estimates new camera matrix for undistortion or rectification void estimateNewCameraMatrixForUndistortRectify(InputArray K, InputArray D, const Size &image_size, InputArray R, OutputArray P, double balance = 0.0, const Size& new_size = Size(), double fov_scale = 1.0); //! performs camera calibaration double calibrate(InputArrayOfArrays objectPoints, InputArrayOfArrays imagePoints, const Size& image_size, InputOutputArray K, InputOutputArray D, OutputArrayOfArrays rvecs, OutputArrayOfArrays tvecs, int flags = 0, TermCriteria