The Alignment of Objects With Smooth Surfaces: Error Analysis of the Curvature Method
The recognition of objects with smooth bounding surfaces from their contour images is considerably more complicated than that of objects with sharp edges, since in the former case the set of object points that generates the silhouette contours changes from one view to another. The "curvature me...
| Main Author: | |
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| Language: | en_US |
| Published: |
2004
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| Online Access: | http://hdl.handle.net/1721.1/6582 |
| _version_ | 1811083276015632384 |
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| author | Basri, Ronen |
| author_facet | Basri, Ronen |
| author_sort | Basri, Ronen |
| collection | MIT |
| description | The recognition of objects with smooth bounding surfaces from their contour images is considerably more complicated than that of objects with sharp edges, since in the former case the set of object points that generates the silhouette contours changes from one view to another. The "curvature method", developed by Basri and Ullman [1988], provides a method to approximate the appearance of such objects from different viewpoints. In this paper we analyze the curvature method. We apply the method to ellipsoidal objects and compute analytically the error obtained for different rotations of the objects. The error depends on the exact shape of the ellipsoid (namely, the relative lengths of its axes), and it increases a sthe ellipsoid becomes "deep" (elongated in the Z-direction). We show that the errors are usually small, and that, in general, a small number of models is required to predict the appearance of an ellipsoid from all possible views. Finally, we show experimentally that the curvature method applies as well to objects with hyperbolic surface patches. |
| first_indexed | 2024-09-23T12:30:29Z |
| id | mit-1721.1/6582 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:30:29Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/65822019-04-11T02:52:32Z The Alignment of Objects With Smooth Surfaces: Error Analysis of the Curvature Method Basri, Ronen The recognition of objects with smooth bounding surfaces from their contour images is considerably more complicated than that of objects with sharp edges, since in the former case the set of object points that generates the silhouette contours changes from one view to another. The "curvature method", developed by Basri and Ullman [1988], provides a method to approximate the appearance of such objects from different viewpoints. In this paper we analyze the curvature method. We apply the method to ellipsoidal objects and compute analytically the error obtained for different rotations of the objects. The error depends on the exact shape of the ellipsoid (namely, the relative lengths of its axes), and it increases a sthe ellipsoid becomes "deep" (elongated in the Z-direction). We show that the errors are usually small, and that, in general, a small number of models is required to predict the appearance of an ellipsoid from all possible views. Finally, we show experimentally that the curvature method applies as well to objects with hyperbolic surface patches. 2004-10-08T20:28:59Z 2004-10-08T20:28:59Z 1991-11-01 AIM-1332 http://hdl.handle.net/1721.1/6582 en_US AIM-1332 1331689 bytes 1036207 bytes application/postscript application/pdf application/postscript application/pdf |
| spellingShingle | Basri, Ronen The Alignment of Objects With Smooth Surfaces: Error Analysis of the Curvature Method |
| title | The Alignment of Objects With Smooth Surfaces: Error Analysis of the Curvature Method |
| title_full | The Alignment of Objects With Smooth Surfaces: Error Analysis of the Curvature Method |
| title_fullStr | The Alignment of Objects With Smooth Surfaces: Error Analysis of the Curvature Method |
| title_full_unstemmed | The Alignment of Objects With Smooth Surfaces: Error Analysis of the Curvature Method |
| title_short | The Alignment of Objects With Smooth Surfaces: Error Analysis of the Curvature Method |
| title_sort | alignment of objects with smooth surfaces error analysis of the curvature method |
| url | http://hdl.handle.net/1721.1/6582 |
| work_keys_str_mv | AT basrironen thealignmentofobjectswithsmoothsurfaceserroranalysisofthecurvaturemethod AT basrironen alignmentofobjectswithsmoothsurfaceserroranalysisofthecurvaturemethod |