MATLAB: How to obtain the translation and rotation from the given affine transformation matrix

affine transformation matrixComputer Vision Toolboxrotaiontranslation

Hi, I already determined SURF features in both frames, and use the matchFeatures function from the Computer Vision System Toolbox to match points in one frame to the points in the other.

Then I used RANSAC to determine a good matching transformation that removes outliers in point matching using the vision.geometricTransformEstimator function. This function returns a transformation matrix.

If the value of affine transformation matrix is a = [0.9947 -0.0012; -0.0038 0.9896; 2.5796 -0.1141],how do i know the translation and rotation values?please help.

Best Answer

Affine transformations involve a rotation, translation, scale and shear. It may not be possible to recover only the translation/rotation from an affine transformation matrix.

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MATLAB: How to calculate translation and rotation of points of image from 2 consecutive frames

There is a function in the Statistics Toolbox called 'procrustes' which can do that job for you. Read its documentation at:

 http://www.mathworks.com/help/stats/procrustes.html

The minimum number of matched points that must be used in two dimensions is two, but it is better if you have many more than that so that the overall error can be minimized. It carries out a least squares matching procedure and gives you the best translation, rotation, and scale factor change.

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Hi Promila, I see by your tag this is an image-processing question, you may find the System object in the Computer Vision Toolbox: vision.GeometricTransformEstimator useful or cp2tform() from the Image Processing Toolbox

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