Qualitative surface shape from deformation of image curves
We describe the constraints placed on the differential geometry of a surface by observing a surface curve from a sequence of positions. In particular two new qualitative results are presented. First, it is shown that sign of normal curvature along the surface curve is determined by tracking image cu...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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Springer
1992
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| _version_ | 1826317625827786752 |
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| author | Cipolla, R Zisserman, A |
| author_facet | Cipolla, R Zisserman, A |
| author_sort | Cipolla, R |
| collection | OXFORD |
| description | We describe the constraints placed on the differential geometry of a surface by observing a surface curve from a sequence of positions. In particular two new qualitative results are presented. First, it is shown that sign of normal curvature along the surface curve is determined by tracking image curve inflections. This result requires only approximate knowledge of the direction of projected viewer translation. It is a generalization to surface curves of Weinshall's [28] result for surface texture. Second, it is shown that surface orientation at a transverse crossing of surface curves is determined without knowledge of viewer translation. Results are demonstrated on real image sequences. |
| first_indexed | 2025-03-11T16:56:53Z |
| format | Journal article |
| id | oxford-uuid:870ed856-934d-4768-b0d9-8794ef3077d0 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2025-03-11T16:56:53Z |
| publishDate | 1992 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:870ed856-934d-4768-b0d9-8794ef3077d02025-02-25T13:57:32ZQualitative surface shape from deformation of image curvesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:870ed856-934d-4768-b0d9-8794ef3077d0EnglishSymplectic ElementsSpringer1992Cipolla, RZisserman, AWe describe the constraints placed on the differential geometry of a surface by observing a surface curve from a sequence of positions. In particular two new qualitative results are presented. First, it is shown that sign of normal curvature along the surface curve is determined by tracking image curve inflections. This result requires only approximate knowledge of the direction of projected viewer translation. It is a generalization to surface curves of Weinshall's [28] result for surface texture. Second, it is shown that surface orientation at a transverse crossing of surface curves is determined without knowledge of viewer translation. Results are demonstrated on real image sequences. |
| spellingShingle | Cipolla, R Zisserman, A Qualitative surface shape from deformation of image curves |
| title | Qualitative surface shape from deformation of image curves |
| title_full | Qualitative surface shape from deformation of image curves |
| title_fullStr | Qualitative surface shape from deformation of image curves |
| title_full_unstemmed | Qualitative surface shape from deformation of image curves |
| title_short | Qualitative surface shape from deformation of image curves |
| title_sort | qualitative surface shape from deformation of image curves |
| work_keys_str_mv | AT cipollar qualitativesurfaceshapefromdeformationofimagecurves AT zissermana qualitativesurfaceshapefromdeformationofimagecurves |