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 double struck T sign such that the distance between P and the transformed set Q′ = double struck T signQ 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. © Springer-Verlag Berlin Heidelberg 2006.
CITATION STYLE
Suesse, H., Ortmann, W., & Voss, K. (2006). A novel approach for affine point pattern matching. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4142 LNCS, pp. 434–444). Springer Verlag. https://doi.org/10.1007/11867661_39
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