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Online estimation of euler angels (camera pose) using images from camera and opencv library

asked 2015-03-18 08:30:00 -0500

mox gravatar image

updated 2015-03-19 13:09:14 -0500

I'm working on a android application and I need to estimate online camera rotation in 3D-plan using images from camera and opencv library. I like to calculate Euler angles.

I have read this and this page and I can estimate homography matrix like here.

My first question is, should I really know the camera intrinsic matrix from camera calibrtion or is the homography matrix (camera extrinsic) enough to estimate euler angles (pitch, roll, yaw)?

If homography matrix is enough, how can I do it exactly?

Sorry, I am really beginner with opencv and cannot decompose "Mat" of homography to rotation matrix and translation matrix like describes here. How can I implement euler angles in android?

You can see my code using solvePnPRansac() and decomposeProjectionMatrix to calculate euler angles. But it returns just a null-vector as double[] eulerArray = {0,0,0}!!! Can somebody help me?! What is wrong there? Thank you very much for any response!

public double[] findEulerAngles(MatOfKeyPoint keypoints1, MatOfKeyPoint keypoints2, MatOfDMatch matches){

KeyPoint[] k1 = keypoints1.toArray();
KeyPoint[] k2 = keypoints2.toArray();

List<DMatch> matchesList = matches.toList();
List<KeyPoint> referenceKeypointsList = keypoints2.toList();
List<KeyPoint> sceneKeypointsList = keypoints1.toList();
// Calculate the max and min distances between keypoints.
double maxDist = 0.0;
double minDist = Double.MAX_VALUE;
for(DMatch match : matchesList) {
    double dist = match.distance;
    if (dist < minDist) {
        minDist = dist;
    if (dist > maxDist) {
        maxDist = dist;

// Identify "good" keypoints based on match distance.
List<Point3> goodReferencePointsList = new ArrayList<Point3>();
ArrayList<Point> goodScenePointsList = new ArrayList<Point>();
double maxGoodMatchDist = 1.75 * minDist;
for(DMatch match : matchesList) {
    if (match.distance < maxGoodMatchDist) {
        Point kk2 = k2[match.queryIdx].pt;
        Point kk1 = k1[match.trainIdx].pt;

        Point3 point3 = new Point3(kk1.x, kk1.y, 0.0);
        goodScenePointsList.add( kk2);

if (goodReferencePointsList.size() < 4 || goodScenePointsList.size() < 4) {
    // There are too few good points to find the pose.

MatOfPoint3f goodReferencePoints = new MatOfPoint3f();
MatOfPoint2f goodScenePoints = new MatOfPoint2f();

MatOfDouble mRMat = new MatOfDouble(3, 3, CvType.CV_32F);
MatOfDouble mTVec = new MatOfDouble(3, 1, CvType.CV_32F);

//TODO: solve camera intrinsic matrix
Mat intrinsics = Mat.eye(3, 3, CvType.CV_32F); // dummy camera matrix
intrinsics.put(0, 0, 400);
intrinsics.put(1, 1, 400);
intrinsics.put(0, 2, 640 / 2);
intrinsics.put(1, 2, 480 / 2);
Calib3d.solvePnPRansac(goodReferencePoints, goodScenePoints, intrinsics, new MatOfDouble(), mRMat, mTVec);
MatOfDouble rotCameraMatrix1 = new MatOfDouble(3, 1, CvType.CV_32F);
double[] rVecArray = mRMat.toArray();
// Calib3d.Rodrigues(mRMat, rotCameraMatrix1);
double[] tVecArray = mTVec.toArray();

MatOfDouble projMatrix = new MatOfDouble(3, 4, CvType.CV_32F); //projMatrix 3x4 input projection matrix P.
projMatrix.put(0, 0, rVecArray[0]);
projMatrix.put(0, 1, rVecArray[1]);
projMatrix.put(0, 2, rVecArray[2]);
projMatrix.put(0, 3, 0);
projMatrix.put(1, 0, rVecArray[3]);
projMatrix.put(1, 1, rVecArray[4]);
projMatrix.put(1, 2, rVecArray[5]);
projMatrix.put(1, 3, 0);
projMatrix.put(2, 0, rVecArray[6]);
projMatrix.put(2, 1, rVecArray[7]);
projMatrix.put(2, 2, rVecArray[8]);
projMatrix.put(2, 3, 0);

MatOfDouble cameraMatrix = new MatOfDouble(3, 3, CvType.CV_32F); //cameraMatrix Output 3x3 camera matrix K.
MatOfDouble ...
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answered 2015-03-18 09:49:26 -0500

Haris gravatar image

You can use solvePnP() to calculate euler angles , but the out put of solvePnP() is not directly roll, yaw & pitch, but need to calculate using rotation matrix.

I also came through similar problem, and found the function decomposeProjectionMatrix which gives euler angles as it's output.

In C++ the implementation should be something like below, assumes you already get the rotation Mat from solvePnP() like,


Now using the function,

void getEulerAngles(Mat &rotCamerMatrix,Vec3d &eulerAngles){
 Mat cameraMatrix,rotMatrix,transVect,rotMatrixX,rotMatrixY,rotMatrixZ;
 double* _r = rotCamerMatrix.ptr<double>();
 double projMatrix[12] = {_r[0],_r[1],_r[2],0,

 decomposeProjectionMatrix( Mat(3,4,CV_64FC1,projMatrix),

Call it like,

 Vec3d eulerAngles;


yaw   = eulerAngles[1]; 
pitch = eulerAngles[0];
roll  = eulerAngles[2];
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Thank you very much for your effort ... Can you please describe me what are exactly the inputs of solvePnP(InputArray objectPoints, InputArray imagePoints, InputArray cameraMatrix, InputArray distCoeffs....) and how can I implement this inputs? (Cause I'm using java and I have low experience with c, c++)

mox gravatar imagemox ( 2015-03-18 10:20:04 -0500 )edit

You can check documentation to get more information about solvePnP.

Haris gravatar imageHaris ( 2015-03-18 11:58:28 -0500 )edit

can you please see my code!? Thank you... What is wrong there... it return just null-vector for eulerArray !!!

mox gravatar imagemox ( 2015-03-19 12:34:37 -0500 )edit

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Asked: 2015-03-18 08:30:00 -0500

Seen: 2,048 times

Last updated: Mar 19 '15