Conformal self-organizing map on curved seamless surface

NEUROCOMPUTING

卷:71

Article; Proceedings Paper

Liou, Cheng-Yuan¹  Kuo, Yen-Ting¹  Huang, Jau-Chi¹ 

[1] Natl Taiwan Univ, Dept Comp Sci & Informat Engn, Taipei, Taiwan

关键词: Self-organizing map;    Conformal mapping;    Manifold learning;    Texture mapping;    Multidimensional scaling;    Morphing;   

DOI  :  10.1016/j.neucom.2008.04.031

来源: Elsevier

【 摘 要 】

This paper presents a new mapping to construct the self-organizing map on the curved seamless surface. This mapping is developed for the planar triangle surface derived from the conformal self-organizing map [C.-Y. Liou, Y.-T. Kuo, Conformal self-organizing map for a genus-zero manifold, Visual Comput. 21(5) (2005) 340-353]. It shows how to construct a seamless surface for the genus-zero manifold. The constructed surface is both seamless and continuous. The mapping between the model surface and the sphere surface is one-to-one and onto. This kind of surface can facilitate many applications of the self-organizing map. We show experiments in surface reconstructions and texture mappings. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free