Conformal self-organizing map on curved seamless surface

Autor:	Cheng-Yuan Liou, Yen-Ting Kuo, Jau-Chi Huang
Rok vydání:	2008
Předmět:	Self-organizing map Surface (mathematics) Cognitive Neuroscience Nonlinear dimensionality reduction Geometry Conformal map Topology Manifold Computer Science Applications Morphing Planar Artificial Intelligence Texture mapping Mathematics
Zdroj:	Neurocomputing. 71:3140-3149
ISSN:	0925-2312
DOI:	10.1016/j.neucom.2008.04.031
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::346af46f689d32e362df36afabbf82fa https://doi.org/10.1016/j.neucom.2008.04.031 Zobrazit plný text záznamu Full Text from ScienceDirect