| Presentation | 1998/6/18 Discrete Nonlinear Scale-Space : Asymptotic Properties Atsushi Imiya, Ulrich Eckhardt, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper we introduce a discrete version of the nonlinear scale flow for the evolution of polyhedral surfaces. Our interpretation of the nonlinear diffusions for image and shape processing is that nonlinear operations achieve localization of a linear operation both for the scale and the space. Furthermore, the total sum of the lengths of gradients over a surface yields a roughness measure of surfaces. This implies the difference between the average of the lengths of gradients on a surface and the length of gradient on a point determines measures for the local sharpness and flatness of a point. Therefore, we derive localization operations using the gradients of polyhedral vertices that we define. We also prove that some types of nonlinear diffusions are stable and has the same asymptotic properties with linear equations. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Discrete analysis / Polyhedron / Deformation / Roughness and smoothness / Nonlinear evolution |
| Paper # | PRMU98-34 |
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| Conference Information | |
| Committee | PRMU |
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| Conference Date | 1998/6/18(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Paper Information | |
| Registration To | Pattern Recognition and Media Understanding (PRMU) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Discrete Nonlinear Scale-Space : Asymptotic Properties |
| Sub Title (in English) | |
| Keyword(1) | Discrete analysis |
| Keyword(2) | Polyhedron |
| Keyword(3) | Deformation |
| Keyword(4) | Roughness and smoothness |
| Keyword(5) | Nonlinear evolution |
| 1st Author's Name | Atsushi Imiya |
| 1st Author's Affiliation | Dept. of Information and Image Sciences, Chiba University() |
| 2nd Author's Name | Ulrich Eckhardt |
| 2nd Author's Affiliation | Institut fur Angewandte Mathematik der Universitat Hamburg |
| Date | 1998/6/18 |
| Paper # | PRMU98-34 |
| Volume (vol) | vol.98 |
| Number (no) | 126 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |