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Paper detail

Isometric Embeddings in Imaging and Vision: Facts and Fiction

We explore the practicability of Nash's Embedding Theorem in vision and imaging sciences. In particular, we investigate the relevance of a result of Burago and Zalgaller regarding the existence of isometric embeddings of polyhedral surfaces in $\mathbb{R}^3$ and we show that their proof does not extended directly to higher dimensions.

preprint2010arXivOpen access
Emil Saucan
math.CVComputer Visionmath.DG
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Emil Saucan

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