Conformal self-organizing map on curved seamless surface

Authors:
Cheng-Yuan Liou;Yen-Ting Kuo;Jau-Chi Huang
Affiliations:
Department of Computer Science and Information Engineering, National Taiwan University, Taiwan, ROC;Department of Computer Science and Information Engineering, National Taiwan University, Taiwan, ROC;Department of Computer Science and Information Engineering, National Taiwan University, Taiwan, ROC
Venue:
Neurocomputing
Year:
2008

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Abstract

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.