Hi Maia,
As per my understanding, you want to use the Direction matrix to transform the original image without using the built-in “imtransform” or “imwarp” functions in MATLAB.
You can do so by manually applying the transformation using interpolation techniques. You can follow the below steps:
- Obtain the size of the original image.
[height, width] = size(I);
2. Create a grid of coordinates representing the pixel locations in the original image.
[X, Y] = meshgrid(1:width, 1:height);
3. Calculate the displacement vectors using the Direction matrix.
displacementX = Direction(:,:,1);
displacementY = Direction(:,:,2);
4. Apply the displacement vectors to the grid of coordinates.
newX = X + displacementX;
newY = Y + displacementY;
5. Perform interpolation to obtain the transformed image or transformed set of points.
transformedIm = interp2(X, Y, I, newX, newY, 'linear', 0);
% For transforming a set of points represented by pointsX and pointsY:
transformedPointsX = interp2(X, Y, pointsX, newX, newY, 'linear', 0);
transformedPointsY = interp2(X, Y, pointsY, newX, newY, 'linear', 0);
Refer the below documentation to learn more about “interp2” function in MATLAB.
