| Presentation | 2001/12/14 Discrete Variational Problem for Surface Fitting to a Cloud of Noisy Sample Points Atsushi IMIYA, Hisashi OOTANI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we propose a method for estimation of a surface from cloud of noisy samples. We formulate the variational method for the collection of sample points. And we derive a numerical method for the computation of approximated solution. The criterion for our variational problem basically depends on distance measure and angles between portions of a polyhedral surface. The distance measure controls the convergence of criterion locally, while the angle measure controls the convergence of the criterion globally. The criterion is also valid for the k-dimensional manifold in n-dimensional Euclidean space for k < n. Since our method automatically learns the topology of the collection sample points, first assuming it topology as an open surface, second evaluating a condition, and third detecting the correct topology of a sample cloud which expresses the geometrical concept. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Variational method / Surface fitting / Principal surface / Median axes / Machine learning / Topology |
| Paper # | PRMU2001-179 |
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| Conference Information | |
| Committee | PRMU |
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| Conference Date | 2001/12/14(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Pattern Recognition and Media Understanding (PRMU) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Discrete Variational Problem for Surface Fitting to a Cloud of Noisy Sample Points |
| Sub Title (in English) | |
| Keyword(1) | Variational method |
| Keyword(2) | Surface fitting |
| Keyword(3) | Principal surface |
| Keyword(4) | Median axes |
| Keyword(5) | Machine learning |
| Keyword(6) | Topology |
| 1st Author's Name | Atsushi IMIYA |
| 1st Author's Affiliation | Institute of Media and Information Technology, Chiba University() |
| 2nd Author's Name | Hisashi OOTANI |
| 2nd Author's Affiliation | School of Science and Technology, Chiba University |
| Date | 2001/12/14 |
| Paper # | PRMU2001-179 |
| Volume (vol) | vol.101 |
| Number (no) | 525 |
| Page | pp.pp.- |
| #Pages | 8 |
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