Name
Abstract | ||
|---|---|---|
We present a new sampling theorem for surfaces and higher dimensional manifolds. The core of the proof resides in triangulation results for manifolds with boundary, not necessarily bounded. The pro- posed method adopts a geometric approach that is considered in the context of 2-dimensional manifolds (i.e surfaces). Further, our approach and formalism lend themselves too the derivation of a geometric the- orem for non-uniform sampling of one-dimensional signals compatible with the classical Shannon-Whittaker theorem. The new approach is also considered in the context of image processing. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/s10851-007-0048-z | Journal of Mathematical Imaging and Vision |
Keywords | Field | DocType |
Image sampling,Image reconstruction,Geometric approach,Fat triangulation,Image manifolds | Iterative reconstruction,Discrete mathematics,Mathematical optimization,Algebra,Mathematical proof,Triangulation (social science),Sampling (statistics),Nyquist–Shannon sampling theorem,Mathematics,Manifold,Bounded function,Image sampling | Journal |
Volume | Issue | ISSN |
30 | 1 | 1573-7683 |
Citations | PageRank | References |
11 | 0.76 | 14 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Emil Saucan | 1 | 77 | 18.84 |
| Eli Appleboim | 2 | 32 | 4.80 |
| Yehoshua Y. Zeevi | 3 | 610 | 248.69 |