An Extremum Principle for Shape from Contour
An extremum principle is developed that determines three-dimensional surface orientation from a two-dimensional contour. The principle maximizes the ratio of the area to the square of the perimeter, a measure of the compactness or symmetry of the three-dimensional surface. The principle interpr...
| Main Authors: | , |
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| Language: | en_US |
| Published: |
2004
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| Online Access: | http://hdl.handle.net/1721.1/6382 |
| _version_ | 1826195874353512448 |
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| author | Brady, Michael Yuille, Alan |
| author_facet | Brady, Michael Yuille, Alan |
| author_sort | Brady, Michael |
| collection | MIT |
| description | An extremum principle is developed that determines three-dimensional surface orientation from a two-dimensional contour. The principle maximizes the ratio of the area to the square of the perimeter, a measure of the compactness or symmetry of the three-dimensional surface. The principle interprets regular figures correctly and it interprets skew symmetries as oriented real symmetries. The maximum likelihood method approximates the principle on irregular figures, but we show that it consistently overestimates the slant of an ellipse. |
| first_indexed | 2024-09-23T10:17:04Z |
| id | mit-1721.1/6382 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:17:04Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/63822019-04-12T07:40:29Z An Extremum Principle for Shape from Contour Brady, Michael Yuille, Alan An extremum principle is developed that determines three-dimensional surface orientation from a two-dimensional contour. The principle maximizes the ratio of the area to the square of the perimeter, a measure of the compactness or symmetry of the three-dimensional surface. The principle interprets regular figures correctly and it interprets skew symmetries as oriented real symmetries. The maximum likelihood method approximates the principle on irregular figures, but we show that it consistently overestimates the slant of an ellipse. 2004-10-04T14:54:10Z 2004-10-04T14:54:10Z 1983-06-01 AIM-711 http://hdl.handle.net/1721.1/6382 en_US AIM-711 4412324 bytes 3454875 bytes application/postscript application/pdf application/postscript application/pdf |
| spellingShingle | Brady, Michael Yuille, Alan An Extremum Principle for Shape from Contour |
| title | An Extremum Principle for Shape from Contour |
| title_full | An Extremum Principle for Shape from Contour |
| title_fullStr | An Extremum Principle for Shape from Contour |
| title_full_unstemmed | An Extremum Principle for Shape from Contour |
| title_short | An Extremum Principle for Shape from Contour |
| title_sort | extremum principle for shape from contour |
| url | http://hdl.handle.net/1721.1/6382 |
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