Title:
Affine Invariant Erosion of 3D Shapes
Affine Invariant Erosion of 3D Shapes
| dc.contributor.author | Betelu, Santiago | |
| dc.contributor.author | Sapiro, Guillermo | |
| dc.contributor.author | Tannenbaum, Allen R. | |
| dc.contributor.corporatename | University of Minnesota. Institute for Mathematics and Its Applications | |
| dc.contributor.corporatename | Georgia Institute of Technology. School of Electrical and Computer Engineering | |
| dc.date.accessioned | 2010-02-17T17:29:30Z | |
| dc.date.available | 2010-02-17T17:29:30Z | |
| dc.date.issued | 2001-07 | |
| dc.description | ©2001 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or distribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. | en |
| dc.description | DOI: 10.1109/ICCV.2001.937621 | |
| dc.description | Presented at the Eighth International Conference on Computer Vision (ICCV'01), Vancouver, B.C., Canada, July 07-July 14. | |
| dc.description.abstract | A new definition of affine invariant erosion of 3D surfaces is introduced. Instead of being based in terms of Euclidean distances, the volumes enclosed between the surface and its chords are used. The resulting erosion is insensitive to noise, and by construction, it is affine invariant. We prove some key properties about this erosion operation, and we propose a simple method to compute the erosion of implicit surfaces. We also discuss how the affine erosion can be used to define 3D affine invariant robust skeletons. | en |
| dc.identifier.citation | Santiago Betelu, Guillermo Sapiro, Allen Tannenbaum, "Affine Invariant Erosion of 3D Shapes," Eighth International Conference on Computer Vision (ICCV'01) 2001, Volume 2, 174-180. | en |
| dc.identifier.isbn | 0-7695-1143-0 | |
| dc.identifier.issn | 1063-6919 | |
| dc.identifier.uri | http://hdl.handle.net/1853/31984 | |
| dc.language.iso | en_US | en |
| dc.publisher | Georgia Institute of Technology | en |
| dc.publisher.original | Institute of Electrical and Electronics Engineers | |
| dc.subject | 3D surfaces | en |
| dc.subject | Euclidean distances | en |
| dc.subject | Affine invariant erosion | en |
| dc.subject | Erosion operation | en |
| dc.subject | Implicit surfaces | en |
| dc.subject | Robust skeletons | en |
| dc.title | Affine Invariant Erosion of 3D Shapes | en |
| dc.type | Text | |
| dc.type.genre | Proceedings | |
| dspace.entity.type | Publication | |
| local.contributor.corporatename | Wallace H. Coulter Department of Biomedical Engineering | |
| relation.isOrgUnitOfPublication | da59be3c-3d0a-41da-91b9-ebe2ecc83b66 |