Isometric Embeddings in Imaging and Vision: Facts and Fiction
arXiv:1004.5351
Abstract
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.
23 pages, 1 figure Second version: Corrections made, subsection added