Isometric Embeddings in Imaging and Vision: Facts and Fiction

Details Isometric Embeddings in Imaging and Vision: Facts and Fiction Isometric Embeddings in Imaging and Vision: Facts and Fiction

2010-04-29

arxiv.org/abs/1004.5351v2

Computer Science

Computer Vision and Pattern Recognition

23 pages, 1 figure Second version: Corrections made, subsection added

Scientific paper

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.

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