Geometric invariance in computer vision
Author(s)
Bibliographic Information
Geometric invariance in computer vision
(The MIT Press series in artificial intelligence)
MIT Press, c1992
Available at 36 libraries
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  Iwate
  Miyagi
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
C-P||Reykjavik||1991.393045883
Note
Edited papers from a joint DARPA-ESPRIT workshop held in Reykjavik, Iceland, March 25-28, 1991
Includes bibliographical references (p. [521]-534) and index
Description and Table of Contents
Description
These twenty-three contributions focus on the most recent developments in the rapidly evolving field of geometric invariants and their application to computer vision. The introduction summarizes the basics of invariant theory, discusses how invariants are related to problems in computer vision, and looks at the future possibilities, particularly the notion that invariant analysis might provide a solution to the elusive problem of recognizing general curved 3D objects from an arbitrary viewpoint. The remaining chapters consist of original papers that present important developments as well as tutorial articles that provide useful background material. These chapters are grouped into categories covering algebraic invariants, nonalgebraic invariants, invariants of multiple views, and applications. An appendix provides an extensive introduction to projective geometry and its applications to basic problems in computer vision.
Table of Contents
- Part 1 Foundations: algebraic invariants - invariant theory and enumerative combinatorics of young tableaux, Shreeram S. Abhyankar, geometric interpretation of joint conic invariants, Joseph L. Mundy, et al, an experimental evaluation of projective invariants, Christopher Coelho, et al
- the projection of two non-coplanar conics, Stephen J. Maybank
- the non-existence of general-case view-invariants, J. Brian Burns, et al
- invariants of non-algebraic curves - noise resistant invariants of curves, Isaac Weiss, semi-differential invariants, Luc J. Van Gool, et al, projective invariants for curves in two and three dimensions, Michael H. Brill, et al, numerical evaluation of differential and semi-differential invariants, Christopher Brown, recognizing general curved objects efficiently, Andrew Zisserman, et al
- fitting affine invariant conics to curves, Deepak Kapur and Joseph L. Mundy, projectively invariant decomposition of planar shapes, Stefan Carlsson
- invariants from multiple views - invariant linear methods in photogrammetry and model-matching, Eamon B. Barrett, et al
- semi-differential invariants for nonplanar curves, Luc J. Van Gool, et al
- disambiguating stereo matches with spatio-temporal surfaces, Olivier Faugeras and Theo Papadopoulo. Part 2 Applications: transformation invariant indexing, Haim J. Wolfson and Yehezkel Lamdan
- affine invariants for model-based recognition, John E. Hopcroft, et al
- object recognition based on moment (or algebraic) invariants, Gabriel Taubin and David B. Cooper
- fast recognition using algebraic invariants, Charles A. Rothwell, et al
- toward 3D curved object recognition from image contours, Jean Ponce and David J. Kriegman
- relative positioning with uncalibrated cameras, Roger Mohr, et al. Appendix: projective geometry for machine vision, Joseph L. Mundy and Andrew Zisserman.
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