| Abstract: | Geometric interpretations of four of the most common determinant formulations of multiview constraints are given, showing that they all enforce the same geometry and that all of the forms commonly in use in the machine vision community are a subset of a more general form. Generalising the work of Yi Ma yields a new general 2 x 2 determinant trilinear and 3 x 3 determinant quadlinear. Geometric descriptions of degenerate multiview constraints are given, showing that it is necessary, but insufficient, that the determinant equals zero. Understanding the degeneracies leads naturally into proofs for minimum sufficient sets of bilinear, trilinear and quadlinear constraints for arbitrary numbers of conjugate observations. |
| Genre: | Article |
| ProdID: | 70039318 |
| Citation Author: | Thomas, Orrin H.; Oshel, Edward R. |
| Citation Contributing Office: | Astrogeology Science Center |
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| Citation End Page: | 93 |
| Citation Issue: | 137 |
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| Citation Language: | English |
| Citation Larger Work Title: | Photogrammetric Record |
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| Citation Phsyical Description: | 20 p. |
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| Citation Publisher: | Wiley |
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| Citation Search Results Text: | Geometric derivations of minimal sets of sufficient multiview constraints; 2012; Article; Journal; Photogrammetric Record; Thomas, Orrin H.; Oshel, Edward R. |
| Citation Start Page: | 74 |
| Citation Volume: | 27 |
| Citation Year: | 2012 |
| Type: | citation/reference |
| Text: | Geometric derivations of minimal sets of sufficient multiview constraints; 2012; Article; Journal; Photogrammetric Record; Thomas, Orrin H.; Oshel, Edward R. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| URL (DIGITAL OBJECT IDENTIFIER): | http://dx.doi.org/10.1111/j.1477-9730.2011.00653.x |
| Date Other: | Wed, 1 Aug 2012 00:00 -0500 |
| Publisher: | Wiley |
