Efficient visual representation and reconstruction from generalized curvature measures

This paper considers how basic geometrical properties like curvature, rigidity, and possible embeddings can be related to efficient image encoding and the statistical concept of redundancy. In particular, the redundancy of planar and parabolic patches of images as surfaces is revealed by reconstructing the original image from curvature measures that are zero for non-elliptic regions. This approach also gives a new perspective on encoding principles in biological vision.

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