3D Pose from Three Corresponding Points Under Weak-Perspective Projection
Model-based object recognition commonly involves using a minimal set of matched model and image points to compute the pose of the model in image coordinates. Furthermore, recognition systems often rely on the "weak-perspective" imaging model in place of the perspective imaging model....
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| Language: | en_US |
| Published: |
2004
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| Online Access: | http://hdl.handle.net/1721.1/6611 |
| _version_ | 1811088509619929088 |
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| author | Alter, T.D. |
| author_facet | Alter, T.D. |
| author_sort | Alter, T.D. |
| collection | MIT |
| description | Model-based object recognition commonly involves using a minimal set of matched model and image points to compute the pose of the model in image coordinates. Furthermore, recognition systems often rely on the "weak-perspective" imaging model in place of the perspective imaging model. This paper discusses computing the pose of a model from three corresponding points under weak-perspective projection. A new solution to the problem is proposed which, like previous solutins, involves solving a biquadratic equation. Here the biquadratic is motivate geometrically and its solutions, comprised of an actual and a false solution, are interpreted graphically. The final equations take a new form, which lead to a simple expression for the image position of any unmatched model point. |
| first_indexed | 2024-09-23T14:03:17Z |
| id | mit-1721.1/6611 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:03:17Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/66112019-04-12T08:31:37Z 3D Pose from Three Corresponding Points Under Weak-Perspective Projection Alter, T.D. Model-based object recognition commonly involves using a minimal set of matched model and image points to compute the pose of the model in image coordinates. Furthermore, recognition systems often rely on the "weak-perspective" imaging model in place of the perspective imaging model. This paper discusses computing the pose of a model from three corresponding points under weak-perspective projection. A new solution to the problem is proposed which, like previous solutins, involves solving a biquadratic equation. Here the biquadratic is motivate geometrically and its solutions, comprised of an actual and a false solution, are interpreted graphically. The final equations take a new form, which lead to a simple expression for the image position of any unmatched model point. 2004-10-08T20:34:26Z 2004-10-08T20:34:26Z 1992-07-01 AIM-1378 http://hdl.handle.net/1721.1/6611 en_US AIM-1378 198455 bytes 687004 bytes application/octet-stream application/pdf application/octet-stream application/pdf |
| spellingShingle | Alter, T.D. 3D Pose from Three Corresponding Points Under Weak-Perspective Projection |
| title | 3D Pose from Three Corresponding Points Under Weak-Perspective Projection |
| title_full | 3D Pose from Three Corresponding Points Under Weak-Perspective Projection |
| title_fullStr | 3D Pose from Three Corresponding Points Under Weak-Perspective Projection |
| title_full_unstemmed | 3D Pose from Three Corresponding Points Under Weak-Perspective Projection |
| title_short | 3D Pose from Three Corresponding Points Under Weak-Perspective Projection |
| title_sort | 3d pose from three corresponding points under weak perspective projection |
| url | http://hdl.handle.net/1721.1/6611 |
| work_keys_str_mv | AT altertd 3dposefromthreecorrespondingpointsunderweakperspectiveprojection |