IEEE Transactions on Pattern Analysis and Machine Intelligence · 1998 · 35 citations · 21 references
ComputingComputer ScienceComputational GeometryComputer VisionMachine VisionAffine GeometryGeometry ProcessingMulti-view GeometryObject RecognitionShape AnalysisShape RepresentationAffine-invariant MatchingImage MatchingModel-based LocalizationObject LocalizationPolynomial Time ComplexityPolynomial-time AlgorithmsShape MatchingVisual Object Localization
We consider model-based object localization based on local geometric feature matching between the model and the image data. The method is based on geometric constraint analysis, working in transformation space. We present a formal method which guarantees finding all feasible matchings in polynomial time. From there we develop more computationally feasible algorithms based on conservative approximations of the formal method. Additionally, our formalism relates object localization, affine model indexing, and structure from multiple views to one another.
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Martin A. Fischler, Robert C. Bolles · Communications of the ACM · 1981 · 25.5K citations · Full text
Computational geometry. an introduction
Franco P. Preparata, Michael Ian Shamos · 1985 · 2.4K citations
Algorithms in Combinatorial Geometry.
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