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8

JMIV
2008

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Sampling and Reconstruction of Surfaces and Higher Dimensional Manifolds

13 years 4 months ago

Sampling and Reconstruction of Surfaces and Higher Dimensional Manifolds

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We present new sampling theorems for surfaces and higher dimensional manifolds. The core of the proofs resides in triangulation results for manifolds with boundary, not necessarily bounded. The method is based upon geometric considerations that are further augmented for 2-dimensional manifolds (i.e surfaces). In addition, we show how to apply the main results to obtain a new, geometric proof of the classical Shannon sampling theorem, and also to image analysis.

Emil Saucan, Eli Appleboim, Yehoshua Y. Zeevi

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2-dimensional Manifolds | Geometric Considerations | JMIV 2008 | Surfaces |

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Added	13 Dec 2010
Updated	13 Dec 2010
Type	Journal
Year	2008
Where	JMIV
Authors	Emil Saucan, Eli Appleboim, Yehoshua Y. Zeevi

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