Combinatorial optimization: algorithms and complexity
Combinatorial optimization: algorithms and complexity
Faster scaling algorithms for network problems
SIAM Journal on Computing
Linear programming
Pattern Recognition Letters
Reliable and Efficient Pattern Matching Using an Affine Invariant Metric
International Journal of Computer Vision
Proceedings of the 23rd DAGM-Symposium on Pattern Recognition
A unified framework for alignment and correspondence
Computer Vision and Image Understanding
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Affine point pattern matching (APPM) is an integral part of many pattern recognition problems. Given two sets P and Q of points with unknown assignments pi →qj between the points, no additional information is available. The following task must be solved: – Find an affine transformation T such that the distance between P and the transformed set Q′= TQ is minimal. In this paper, we present a new approach to the APPM problem based on matching in bipartite graphs. We have proved that the minimum of a cost function is an invariant under special affine transformations. We have developed a new algorithm based on this property. Finally, we have tested the performance of the algorithm on both synthetically generated point sets and point sets extracted from real images.