Inferring 3D Shapes from 2D Codons
All plane curves can be described at an abstract level by a sequence of five primitive elemental shapes, called "condons", which capture the sequential relations between the singular points of curvature. The condon description provides a basis for enumerating all smooth 2D curves. Le...
| Egile Nagusiak: | , , |
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| Hizkuntza: | en_US |
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2004
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| Sarrera elektronikoa: | http://hdl.handle.net/1721.1/5613 |
| _version_ | 1826203806268915712 |
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| author | Richards, Whitman Koenderink, Jan J. Hoffman, D.D. |
| author_facet | Richards, Whitman Koenderink, Jan J. Hoffman, D.D. |
| author_sort | Richards, Whitman |
| collection | MIT |
| description | All plane curves can be described at an abstract level by a sequence of five primitive elemental shapes, called "condons", which capture the sequential relations between the singular points of curvature. The condon description provides a basis for enumerating all smooth 2D curves. Let each of these smooth plane be considered as the si lhouette of an opaque 3D object. Clearly an in finity of 3D objects can generate any one of ou r "condon" silhouettes. How then can we p redict which 3D object corresponds to a g iven 2D silhouette? To restrict the infinity of choices, we impose three mathematical properties of smooth surfaces plus one simple viewing constraint. The constraint is an extension of the notion of general position, and seems to drive our preferred inferences of 3D shapes, given only the 2D contour. |
| first_indexed | 2024-09-23T12:43:49Z |
| id | mit-1721.1/5613 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:43:49Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/56132019-04-10T16:29:00Z Inferring 3D Shapes from 2D Codons Richards, Whitman Koenderink, Jan J. Hoffman, D.D. vision recognition visual representation object perception sfigure-ground 3-D shape All plane curves can be described at an abstract level by a sequence of five primitive elemental shapes, called "condons", which capture the sequential relations between the singular points of curvature. The condon description provides a basis for enumerating all smooth 2D curves. Let each of these smooth plane be considered as the si lhouette of an opaque 3D object. Clearly an in finity of 3D objects can generate any one of ou r "condon" silhouettes. How then can we p redict which 3D object corresponds to a g iven 2D silhouette? To restrict the infinity of choices, we impose three mathematical properties of smooth surfaces plus one simple viewing constraint. The constraint is an extension of the notion of general position, and seems to drive our preferred inferences of 3D shapes, given only the 2D contour. 2004-10-01T20:17:08Z 2004-10-01T20:17:08Z 1985-04-01 AIM-840 http://hdl.handle.net/1721.1/5613 en_US AIM-840 19 p. 3136972 bytes 2443128 bytes application/postscript application/pdf application/postscript application/pdf |
| spellingShingle | vision recognition visual representation object perception sfigure-ground 3-D shape Richards, Whitman Koenderink, Jan J. Hoffman, D.D. Inferring 3D Shapes from 2D Codons |
| title | Inferring 3D Shapes from 2D Codons |
| title_full | Inferring 3D Shapes from 2D Codons |
| title_fullStr | Inferring 3D Shapes from 2D Codons |
| title_full_unstemmed | Inferring 3D Shapes from 2D Codons |
| title_short | Inferring 3D Shapes from 2D Codons |
| title_sort | inferring 3d shapes from 2d codons |
| topic | vision recognition visual representation object perception sfigure-ground 3-D shape |
| url | http://hdl.handle.net/1721.1/5613 |
| work_keys_str_mv | AT richardswhitman inferring3dshapesfrom2dcodons AT koenderinkjanj inferring3dshapesfrom2dcodons AT hoffmandd inferring3dshapesfrom2dcodons |