Image processing expert required

Write an algorithm to blend the moving image, Im, and the fixed image, If, based on the backwards affine transformation A and t. Note that I am not asking for a working implementation here, just a description of the algorithm. Assume the images are 2d, that each image has m rows and n columns, and (for simplicity) that image coordinates and physical coordinates coordinates coincide. Use the notation I(x,y) to indicate the pixel value at row y and column x, with the first pixel at x = y = 0. More details will be send to you on chat