121 citations · 260 across the 28 of their papers we have counts for
4 papers · 1 filter
On a construction of Burago and Zalgaller
Emil Saucan
The purpose of this note is to scrutinize the proof of Burago and Zalgaller regarding the existence of isometric embeddings of compact surfaces into . We co…
Isometric Embeddings in Imaging and Vision: Facts and Fiction
Emil Saucan
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…
Geometric approach to sampling and communication
Emil Saucan, Eli Appleboim, Yehoshua Y. Zeevi
Relationships that exist between the classical, Shannon-type, and geometric-based approaches to sampling are investigated. Some aspects of coding and communication through a Gaussi…
Curvature based triangulation of metric measure spaces
Emil Saucan
We prove that a Ricci curvature based method of triangulation of compact Riemannian manifolds, due to Grove and Petersen, extends to the context of weighted Riemannian manifolds an…