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Scaling the Transform Matrix

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I have a 1600 x 1200 image, and a 400x300 version of the same. I applied translation(tx,ty) to the 1600x1200 image. To apply the corresponding translation to the 400x300 image, I just changed the translation to: (tx/4 , ty/4) as the smaller is 1/4th the size. (1) Is that assumption correct? Also, if the post-translation origin for the big image is (ox,oy), (2) would the post-translation origin for the small image be (ox/4,oy/4) along the same lines? Thanks a lot, Abhi

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