Inferring Shape from Motion Fields
The human visual system has the ability o utilize motion information to infer the shapes of surfaces. More specifically, we are able to derive descriptions of rigidly rotating smooth surfaces entirely from the orthographic projection of the motions of their surface markings. A computational an...
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| Language: | en_US |
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2004
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| Online Access: | http://hdl.handle.net/1721.1/5715 |
| _version_ | 1826191344434937856 |
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| author | Hoffman, D.D. |
| author_facet | Hoffman, D.D. |
| author_sort | Hoffman, D.D. |
| collection | MIT |
| description | The human visual system has the ability o utilize motion information to infer the shapes of surfaces. More specifically, we are able to derive descriptions of rigidly rotating smooth surfaces entirely from the orthographic projection of the motions of their surface markings. A computational analysis of this ability is proposed based on "shape from motion" proposition. This proposition states that given the first spatial derivatives of the orthographically projected velocity and the acceleration fields of a rigidly rotating regular surface, then the angular velocity and the surface normal at each visible point on that surface are uniquely determined up to a reflection. |
| first_indexed | 2024-09-23T08:54:28Z |
| id | mit-1721.1/5715 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:54:28Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/57152019-04-10T19:38:48Z Inferring Shape from Motion Fields Hoffman, D.D. velocity field surface normal The human visual system has the ability o utilize motion information to infer the shapes of surfaces. More specifically, we are able to derive descriptions of rigidly rotating smooth surfaces entirely from the orthographic projection of the motions of their surface markings. A computational analysis of this ability is proposed based on "shape from motion" proposition. This proposition states that given the first spatial derivatives of the orthographically projected velocity and the acceleration fields of a rigidly rotating regular surface, then the angular velocity and the surface normal at each visible point on that surface are uniquely determined up to a reflection. 2004-10-01T20:32:27Z 2004-10-01T20:32:27Z 1980-12-01 AIM-592 http://hdl.handle.net/1721.1/5715 en_US AIM-592 19 p. 6146334 bytes 4040581 bytes application/postscript application/pdf application/postscript application/pdf |
| spellingShingle | velocity field surface normal Hoffman, D.D. Inferring Shape from Motion Fields |
| title | Inferring Shape from Motion Fields |
| title_full | Inferring Shape from Motion Fields |
| title_fullStr | Inferring Shape from Motion Fields |
| title_full_unstemmed | Inferring Shape from Motion Fields |
| title_short | Inferring Shape from Motion Fields |
| title_sort | inferring shape from motion fields |
| topic | velocity field surface normal |
| url | http://hdl.handle.net/1721.1/5715 |
| work_keys_str_mv | AT hoffmandd inferringshapefrommotionfields |