Some trade-offs and a new algorithm for geometric hashing

Model-based object recognition is a fundamental task of computer vision. In this paper we consider the performance of the popular geometric hashing (GH) algorithm for model based recognition and, in a probabilistic setting, examine the influence of some design decisions and derive several trade-offs between two measures of performance: reliability and time complexity. We also propose a variation of the GH algorithm, which alleviates some of its inherent problems and demonstrate its enhanced performance in experiments.

[1]  Michael Lindenbaum,et al.  An Integrated Model for Evaluating the Amount of Data Required for Reliable Recognition , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Yehezkel Lamdan,et al.  Geometric Hashing: A General And Efficient Model-based Recognition Scheme , 1988, [1988 Proceedings] Second International Conference on Computer Vision.

[3]  W. Eric L. Grimson,et al.  Gaussian error models for object recognition , 1993, Proceedings of IEEE Conference on Computer Vision and Pattern Recognition.

[4]  W. Eric L. Grimson,et al.  The Combinatorics Of Object Recognition In Cluttered Environments Using Constrained Search , 1988, [1988 Proceedings] Second International Conference on Computer Vision.

[5]  Todd A. Cass,et al.  Polynomial-Time Object Recognition in the Presence of Clutter, Occlusion, and Uncertainty , 1992, ECCV.

[6]  W. Eric L. Grimson,et al.  Verifying model-based alignments in the presence of uncertainty , 1997, Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[7]  Yehezkel Lamdan,et al.  On the error analysis of 'geometric hashing' , 1991, Proceedings. 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[8]  Todd A. Cass Robust geometric matching for 3D object recognition , 1994, Proceedings of 12th International Conference on Pattern Recognition.

[9]  W. Eric L. Grimson,et al.  On the Verification of Hypothesized Matches in Model-Based Recognition , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[10]  David W. Jacobs Optimal matching of planar models in 3D scenes , 1991, Proceedings. 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.