Implementation techniques for geometric branch-and-bound matching methods

  • Authors:
  • Thomas M. Breuel

  • Affiliations:
  • Xerox Palo Alto Research Center, 3333 Coyote Hill Road, Palo Alto, CA

  • Venue:
  • Computer Vision and Image Understanding
  • Year:
  • 2003

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Abstract

Algorithms for geometric matching and feature extraction that work by recursively subdividing transformation space and bounding the quality of match have been proposed in a number of different contexts and become increasingly popular over the last few years. This paper describes matchlist-based branch-and-bound techniques and presents a number of new applications of branch-and-bound methods, among them, a method for globally optimal partial line segment matching under bounded or Gaussian error, point matching under a Gaussian error model with subpixel accuracy and precise orientation models, and a simple and robust technique for finding multiple distinct objcct instances. It also contains extensive reference information for the implementation of such matching methods under a wide variety of error bounds and transformations. In addition, the paper contains a number of benchmarks and evaluations that provide new information about the runtime behavior of branch-and-bound matching algorithms in general, and that help choose among different implementation strategies, such as the use of point location data structures and space/time tradeoffs involving depth-first search.