An efficient cost scaling algorithm for the assignment problem
Mathematical Programming: Series A and B
An efficient algorithm for image segmentation, Markov random fields and related problems
Journal of the ACM (JACM)
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Image Warping with Scattered Data Interpolation
IEEE Computer Graphics and Applications
Matching of Spots in 2D Electrophoresis Images. Point Matching Under Non-uniform Distortions
CPM '99 Proceedings of the 10th Annual Symposium on Combinatorial Pattern Matching
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Approximate point set pattern matching with Lp-norm
SPIRE'11 Proceedings of the 18th international conference on String processing and information retrieval
One-dimensional approximate point set pattern matching with Lp-norm
Theoretical Computer Science
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We study local similarity based distance measures for point-patterns. Such measures can be used for matching point-patterns under non-uniform transformations -- a problem that naturally arises in image comparison problems. A general framework for the matching problem is introduced. We show that some of the most obvious instances of this framework lead to NP-hard optimization problems and are not approximable within any constant factor. We also give a relaxation of the framework that is solvable in polynomial time and works well in practice in our experiments with two-dimensional protein electrophoresis gel images.