Perspective Projection Invariants
An important part of stereo vision consists of finding and matching points in two images which correspond to the same physical element in the scene. We show that zeros of curvature of curves are perspective projection invariants and can therefore be used to find corresponding points. They can...
| Main Authors: | , |
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| Language: | en_US |
| Published: |
2004
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| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/5620 |
| _version_ | 1826189455119089664 |
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| author | Verri, Alessandro Yuille, Alan |
| author_facet | Verri, Alessandro Yuille, Alan |
| author_sort | Verri, Alessandro |
| collection | MIT |
| description | An important part of stereo vision consists of finding and matching points in two images which correspond to the same physical element in the scene. We show that zeros of curvature of curves are perspective projection invariants and can therefore be used to find corresponding points. They can be used to help solve the registration problem (Longuet-Higgins, 1982) and to obtain the correct depth when a curve enters the forbidden zone (Krol and van de Grind, 1982). They are also relevant to theories for representing image curves. We consider the stability of these zeros of curvature. |
| first_indexed | 2024-09-23T08:14:55Z |
| id | mit-1721.1/5620 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:14:55Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/56202019-04-09T17:33:46Z Perspective Projection Invariants Verri, Alessandro Yuille, Alan stereo registration perspective projection zeros of curvature An important part of stereo vision consists of finding and matching points in two images which correspond to the same physical element in the scene. We show that zeros of curvature of curves are perspective projection invariants and can therefore be used to find corresponding points. They can be used to help solve the registration problem (Longuet-Higgins, 1982) and to obtain the correct depth when a curve enters the forbidden zone (Krol and van de Grind, 1982). They are also relevant to theories for representing image curves. We consider the stability of these zeros of curvature. 2004-10-01T20:17:18Z 2004-10-01T20:17:18Z 1986-02-01 AIM-832 http://hdl.handle.net/1721.1/5620 en_US AIM-832 15 p. 1726977 bytes 1330935 bytes application/postscript application/pdf application/postscript application/pdf |
| spellingShingle | stereo registration perspective projection zeros of curvature Verri, Alessandro Yuille, Alan Perspective Projection Invariants |
| title | Perspective Projection Invariants |
| title_full | Perspective Projection Invariants |
| title_fullStr | Perspective Projection Invariants |
| title_full_unstemmed | Perspective Projection Invariants |
| title_short | Perspective Projection Invariants |
| title_sort | perspective projection invariants |
| topic | stereo registration perspective projection zeros of curvature |
| url | http://hdl.handle.net/1721.1/5620 |
| work_keys_str_mv | AT verrialessandro perspectiveprojectioninvariants AT yuillealan perspectiveprojectioninvariants |