Isometric Embeddings in Imaging and Vision: Facts and Fiction

04/29/2010

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by   Emil Saucan, et al.

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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 R^3 and we show that their proof does not extended directly to higher dimensions.