Differential Geometry, Surface Patches and Convergence Methods
The problem of constructing a surface from the information provided by the Marr-Poggio theory of human stereo vision is investigated. It is argued that not only does this theory provide explicit boundary conditions at certain points in the image, but that the imaging process also provides impl...
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| Language: | en_US |
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2004
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| Online Access: | http://hdl.handle.net/1721.1/5729 |
| _version_ | 1811085143006248960 |
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| author | Grimson, W.E.L. |
| author_facet | Grimson, W.E.L. |
| author_sort | Grimson, W.E.L. |
| collection | MIT |
| description | The problem of constructing a surface from the information provided by the Marr-Poggio theory of human stereo vision is investigated. It is argued that not only does this theory provide explicit boundary conditions at certain points in the image, but that the imaging process also provides implicit conditions on all other points in the image. This argument is used to derive conditions on possible algorithms for computing the surface. Additional constraining principles are applied to the problem; specifically that the process be performable by a local-support parallel network. Some mathematical tools, differential geometry, Coons surface patches and iterative methods of convergence, relevant to the problem of constructing the surface are outlined. Specific methods for actually computing the surface are examined. |
| first_indexed | 2024-09-23T13:03:33Z |
| id | mit-1721.1/5729 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:03:33Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/57292019-04-11T04:54:17Z Differential Geometry, Surface Patches and Convergence Methods Grimson, W.E.L. coons differential geometry iterative convergence methods ssurface patches stereo vision The problem of constructing a surface from the information provided by the Marr-Poggio theory of human stereo vision is investigated. It is argued that not only does this theory provide explicit boundary conditions at certain points in the image, but that the imaging process also provides implicit conditions on all other points in the image. This argument is used to derive conditions on possible algorithms for computing the surface. Additional constraining principles are applied to the problem; specifically that the process be performable by a local-support parallel network. Some mathematical tools, differential geometry, Coons surface patches and iterative methods of convergence, relevant to the problem of constructing the surface are outlined. Specific methods for actually computing the surface are examined. 2004-10-01T20:32:59Z 2004-10-01T20:32:59Z 1979-02-01 AIM-510 http://hdl.handle.net/1721.1/5729 en_US AIM-510 37 p. 11410947 bytes 8106624 bytes application/postscript application/pdf application/postscript application/pdf |
| spellingShingle | coons differential geometry iterative convergence methods ssurface patches stereo vision Grimson, W.E.L. Differential Geometry, Surface Patches and Convergence Methods |
| title | Differential Geometry, Surface Patches and Convergence Methods |
| title_full | Differential Geometry, Surface Patches and Convergence Methods |
| title_fullStr | Differential Geometry, Surface Patches and Convergence Methods |
| title_full_unstemmed | Differential Geometry, Surface Patches and Convergence Methods |
| title_short | Differential Geometry, Surface Patches and Convergence Methods |
| title_sort | differential geometry surface patches and convergence methods |
| topic | coons differential geometry iterative convergence methods ssurface patches stereo vision |
| url | http://hdl.handle.net/1721.1/5729 |
| work_keys_str_mv | AT grimsonwel differentialgeometrysurfacepatchesandconvergencemethods |