Direct Computation of 3D Shape Invariants and the Focus of Expansion
Structure from motion often refers to the computation of 3D structure from a matched sequence of images. However, a depth map of a surface is difficult to compute and may not be a good representation for storage and recognition. Given matched images, I will first show that the sign of the norm...
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| Language: | en_US |
| Published: |
2004
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| Online Access: | http://hdl.handle.net/1721.1/6505 |
| _version_ | 1826200256887390208 |
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| author | Weinshall, Daphna |
| author_facet | Weinshall, Daphna |
| author_sort | Weinshall, Daphna |
| collection | MIT |
| description | Structure from motion often refers to the computation of 3D structure from a matched sequence of images. However, a depth map of a surface is difficult to compute and may not be a good representation for storage and recognition. Given matched images, I will first show that the sign of the normal curvature in a given direction at a given point in the image can be computed from a simple difference of slopes of line-segments in one image. Using this result, local surface patches can be classified as convex, concave, parabolic (cylindrical), hyperbolic (saddle point) or planar. At the same time the translational component of the optical flow is obtained, from which the focus of expansion can be computed. |
| first_indexed | 2024-09-23T11:33:41Z |
| id | mit-1721.1/6505 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:33:41Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/65052019-04-11T05:42:47Z Direct Computation of 3D Shape Invariants and the Focus of Expansion Weinshall, Daphna Structure from motion often refers to the computation of 3D structure from a matched sequence of images. However, a depth map of a surface is difficult to compute and may not be a good representation for storage and recognition. Given matched images, I will first show that the sign of the normal curvature in a given direction at a given point in the image can be computed from a simple difference of slopes of line-segments in one image. Using this result, local surface patches can be classified as convex, concave, parabolic (cylindrical), hyperbolic (saddle point) or planar. At the same time the translational component of the optical flow is obtained, from which the focus of expansion can be computed. 2004-10-04T15:13:14Z 2004-10-04T15:13:14Z 1989-05-01 AIM-1131 http://hdl.handle.net/1721.1/6505 en_US AIM-1131 3948272 bytes 1506775 bytes application/postscript application/pdf application/postscript application/pdf |
| spellingShingle | Weinshall, Daphna Direct Computation of 3D Shape Invariants and the Focus of Expansion |
| title | Direct Computation of 3D Shape Invariants and the Focus of Expansion |
| title_full | Direct Computation of 3D Shape Invariants and the Focus of Expansion |
| title_fullStr | Direct Computation of 3D Shape Invariants and the Focus of Expansion |
| title_full_unstemmed | Direct Computation of 3D Shape Invariants and the Focus of Expansion |
| title_short | Direct Computation of 3D Shape Invariants and the Focus of Expansion |
| title_sort | direct computation of 3d shape invariants and the focus of expansion |
| url | http://hdl.handle.net/1721.1/6505 |
| work_keys_str_mv | AT weinshalldaphna directcomputationof3dshapeinvariantsandthefocusofexpansion |