Differential and Statistical Approach to Partial Model Matching. (3rd February 2013)

• Record Type: Journal Article
• Authors: Guo, Kehua; Liu, Yongling; Duan, Guihua
• Other Names: Chen Sheng-Yong Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-02-03
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/249847
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : Partial model matching approaches are important to target recognition. In this paper, aiming at a 3D model, a novel solution utilizing Gaussian curvature and mean curvature to represent the inherent structure of a spatial shape is proposed. Firstly, a Point-Pair Set is constructed by means of filtrating points with a similar inherent characteristic in the partial surface. Secondly, a Triangle-Pair Set is demonstrated after locating the spatial model by asymmetry triangle skeleton. Finally, after searching similar triangles in a Point-Pair Set, optimal transformation is obtained by computing the scoring function in a Triangle-Pair Set, and optimal matching is determined. Experiments show that this algorithm is suitable for partial model matching. Encouraging matching efficiency, speed, and running time complexity to irregular models are indicated in the study.