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The relationship between Homography matrix and scaling images

I have compute the Homography matrix H1 between two images,after that I just use function "resize(orign_image,img,Size(),workscale,worscale)".finally I want to get a H'to apply to the img which has been resized,but the H1 or H'(H1 *workscale)cann't work.So I hope someone can help me get correct H' that can be applied to resized imgs.^_^