3D partial surface matching using differential geometry and statistical approaches

Authors:
Kehua Guo;Guihua Duan
Affiliations:
School of Information Science & Engineering, Central South University, Changsha, China;School of Information Science & Engineering, Central South University, Changsha, China
Venue:
IScIDE'12 Proceedings of the third Sino-foreign-interchange conference on Intelligent Science and Intelligent Data Engineering
Year:
2012

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Abstract

3D partial surface matching approach is universal to 3D object recognition. In this paper, a new solution utilizing Gaussian curvature and mean curvature to represent the inherent structure of surface is proposed, Point-Pair Set is constructed by means of filtrating points with similar inherent characteristic in partial surface, then Triangle-Pair Set is demonstrated after locating 3D surface by asymmetry triangle skeleton and searching similar triangles in Point-Pair Set, finally, optimal transformation is illustrated by scoring function to transformations in Triangle-Pair Set and optimal matching is determined. Experiments show that the algorithm is suitable for 3D partial surface matching, and an encouraging matching efficiency, speed and running time complexity to irregular surfaces is introduced.