CHENG-YUAN LIOUKuo, Yen-TingYen-TingKuoHuang, Jau-ChiJau-ChiHuang2018-09-102018-09-10200809252312http://www.scopus.com/inward/record.url?eid=2-s2.0-56549107163&partnerID=MN8TOARShttp://scholars.lib.ntu.edu.tw/handle/123456789/339869This 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. © 2008 Elsevier B.V. All rights reserved.application/pdf2482969 bytesapplication/pdfConformal mapping; Manifold learning; Morphing; Multidimensional scaling; Self-organizing map; Texture mapping[SDGs]SDG14Ketones; Maps; Neural networks; Textures; Manifold learning; Morphing; Multidimensional scaling; Self-organizing map; Texture mapping; Conformal mapping; analytical error; computer analysis; computer model; conference paper; controlled study; intermethod comparison; learning algorithm; priority journal; probability; process development; process optimization; surface propertyconference paper10.1016/j.neucom.2008.04.0312-s2.0-56549107163