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Abstract: A number of recent papers have argued that invariants do not exist for three dimensional point sets in general position [3, 4, 13]. This has often been misinterpreted to mean that invariants cannot be computed for any three dimensional structure. This paper proves by example that although the general statement is true, invariants do exist for structured three dimensional point sets. Projective invariants are derived for two classes of object: the first is for points that lie on the vertices of... (Update)
Context of citations to this paper: More
.... studies make use of the epipolar geometry arising from the bilateral symmetry of a scene in a single perspective view (see e.g. [9][12] 10] 4] We establish more general epipolar projective properties of single views of mirror symmetric scenes, and apply them in a...
.... approaches to detection of 3D symmetry involve deformable contours [99] tomography [27] structure from motion techniques [80, 67, 88] and physical mirrors [74, 51, 1, 54] In most of the above mentioned techniques, symmetry is treated as a binary feature: either it...
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BibTeX entry: (Update)
C. A. Rothwell, D. A. Forsyth, A. Zisserman, and J.L. Mundy. Extracting projective structure from single perspective views of 3D point sets. In Proceedings of the 4th Proc. International Conference on Computer Vision, pages 573--582, Berlin, Germany, May 1993. IEEE Computer Society Press. http://citeseer.ist.psu.edu/rothwell93extracting.html More
@inproceedings{ rothwell93extracting,
author = "Rothwell, C.A. and Forsyth, D.A. and Zisserman, A. and Mundy, J.L.",
title = "Extracting Projective Structure from Single Perspective Views of 3D Point Sets",
booktitle = "ICCV93",
pages = "573-582",
year = "1993",
url = "citeseer.ist.psu.edu/rothwell93extracting.html" }
Citations (may not include all citations):430 What can be Seen in Three Dimensions with an Uncalibrated St.. (context) - Faugeras - 1992
228 Stereo from Uncalibrated Cameras (context) - Hartley, Gupta et al. - 1992
64 Object Recognition by Affine Invariant Matching (context) - Lamdan, Schwartz et al. - 1988
49 Invariant Descriptors for 3D Object Recognition and Pose (context) - Forsyth, Mundy et al. - 1991
32 Affine and Projective Structure from Motion - Demey, Zisserman et al. - 1992
25 Efficient Model Library Access by Projectively Invariant - Rothwell, Zisserman et al.
19 The Nonexistence of General-case View-Invariants (context) - Burns, Weiss et al. - 1992
14 Model Group Indexing for Recognition (context) - Clemens, Jacobs - 1991
11 Relative Positioning from Geometric Invariants (context) - Mohr, Morin - 1991
8 EgoMotion from Six Points (context) - Beardsley, Sinclair et al. - 1992
7 Projective Geometry and Computer Vision (context) - Mohr - 1992
4 Recognising Curved Surfaces from their Outlines (context) - Forsyth, Mundy et al. - 1992
4 Contributions to the Theory of Projective Invariants for Cur.. (context) - Barrett, Payton et al. - 1991
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