Isometric Embeddings in Imaging and Vision: Facts and Fiction

  • Authors:
  • Emil Saucan

  • Affiliations:
  • Department of Mathematics, Technion, Haifa, Israel

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 2012

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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 PL isometric embeddings of polyhedral surfaces in 驴3 and we show that their proof does not extended directly to higher dimensions.