Abstract
Within an invariance framework, the recognition of plane objects under general viewpoints and perspective projection calls for the extraction of two-dimensional projective invariants. If the possible poses of the object are constrained with respect to the camera, however, simpler groups than the projective transformations become relevant, and consequently, simpler invariants exist. Several such special types of pose constraints are discussed — all amount to the object plane remaining parallel to its original orientation — and the corresponding groups are outlined. For each group a number of invariants are derived to illustrate the gain in simplicity.
Theo Moons and Eric Pauwels were supported by the Belgian National Fund for Scientific Research (N.F.W.O.). The support by Esprit BRA 6448 VIVA and the cofinancing support by the Flemish government are gratefully acknowledged.
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M. Brill, E. Barrett, and P. Payton, Projective invariants for curves in two and three dimensions, in Geometric Invariance in Computer Vision, eds. Mundy & Zisserman, pp. 193–214, MIT Press, 1992.
R. Collins and J. Beveridge, Matching perspective views of coplanar structures using projective unwarping and similarity matching, Conf. Computer Vision Pattern Recognition, pp. 240–245, 1992.
R. Lotufo, B. Thomas, and E. Dagless, Road following algorithm using a panned plan-view transformation, Proc. 1st ECCV, pp. 231–235, 1990.
D. Mukherjee, A. Zisserman, and M. Brady, Shape from symmetry — detecting and exploiting symmetry in affine images, Techn. Report Univ. of Oxford, OUEL 1988/93, 1993.
M. Straforini, C. Coelho, and M. Campani, Extraction of vanishing points from images of indoor and outdoor scenes, Image and Vision Computing, Vol. 11, no.2, pp. 91–99, march 1993.
A. Tai, J. Kittler, M. Petrou, and T. Windeatt, Vanishing point detection, Image and Vision Computing, Vol. 11, No.4, pp. 240–245, 1993.
T. Tan, K. Baker, and G. Sullivan, 3D structure and motion estimation from 2D image sequences, Image and Vision Computing, vol. 11, no.4, pp. 203–210, 1993.
L. Van Gool, P. Kempenaers. and A. Oosterlinck, Recognition and semi-differential invariants, Proc. CVPR, pp. 454–460, june 1991
L. Van Gool, T. Moons, E. Pauwels, and A. Oosterlinck, Semi-differential invariants, in Geometric Invariance in Computer Vision, eds. Mundy & Zisserman, pp. 157–192, MIT Press, 1992.
L. Van Gool, T. Moons, D. Ungureanu, and A. Oosterlinck, The characterization and detection of skewed symmetry, Kath. Univ. Leuven, Techn. Report KUL/ESAT/MI2/9304, 1993, accepted for publication in CVGIP:IU.
L. Van Gool, T. Moons, E. Pauwels, and J. Wagemans, Invariance from the Euclidean geometer's perspective, accepted for publication in Perception.
L. Van Gool, T. Moons, M. Van Diest, and E. Pauwels, Perspective matching and tracking of moving plane structures with constant object plane orientation, Kath. Univ. Leuven, Techn. Report KUL/ESAT/MI2/9305, 1993.
T. Zielke, K. Storjohann, H. Mallot, and W. von Seelen, Adaptive computer vision systems to the visual environment: topographic mapping, Proc. 1st ECCV 90, pp. 613–615, 1990.
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© 1994 Springer-Verlag Berlin Heidelberg
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Van Gool, L., Moons, T., Van Diest, M., Pauwels, E. (1994). Matching perspective views of parallel plane structures. In: Mundy, J.L., Zisserman, A., Forsyth, D. (eds) Applications of Invariance in Computer Vision. AICV 1993. Lecture Notes in Computer Science, vol 825. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58240-1_9
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DOI: https://doi.org/10.1007/3-540-58240-1_9
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