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Quoting the previous answer:

Keypoints are detected by Scale-Space extrema detection using Difference of Gaussian images. So the size is basically at what scale those points are detected.

This is somewhat incorrect: The size of the patch being described is linear dependent on the keypoint scale, i.e. size = scale * magnifier. How you choose you magnifier depends on the application.

Quoting the previous answer:

Keypoints are detected by Scale-Space extrema detection using Difference of Gaussian images. So the size is basically at what scale those points are detected.

This is somewhat incorrect: The size of the patch being described is linear dependent on the keypoint scale, i.e. size = scale * magnifier. How you choose you magnifier the magnification factor depends on the application.