4.6 Article

TEMPO: Feature-Endowed Teichmiiller Extremal Mappings of Point Clouds

期刊

SIAM JOURNAL ON IMAGING SCIENCES
卷 9, 期 4, 页码 1922-1962

出版社

SIAM PUBLICATIONS
DOI: 10.1137/15M1049117

关键词

Teichmfiller extremal mapping; Teichmfiller metric; point clouds; shape analysis; face recognition; quasi-conformal theory

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  1. HKRGC GRF [2130406, 14303414]

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In recent decades, the use of three-dimensional point clouds has been widespread in the computer industry. The development of techniques for analyzing point clouds is increasingly important. In particular, mapping of point clouds has been a challenging problem. In this paper, we develop a discrete analogue of the Teichmfiller extremal mappings, which guarantees uniform conformality distortions on point cloud surfaces. Based on the discrete analogue, we propose a novel method called TEMPO for computing Teichmfiller extremal mappings between feature-endowed point clouds. Using our proposed method, the Teichmfiller metric is introduced for evaluating the dissimilarity of point clouds. Consequently, our algorithm enables accurate recognition and classification of point clouds. Experimental results demonstrate the effectiveness of our proposed method.

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