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Translating Keypoints To Orignal Image After Pyrdown

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I have a full HD image (1920 x 1080). In an effort to improve keypoint detection, I am using pyrdown to reduce the image size. Then, I run SURF on the reduced image. My question is: what is the best way to translate the keypoints found on the reduced image to where they would be on the original image for display? Thanks for any help.

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