CHENG-YUAN LIOUTai, W. P.W. P.Tai2018-09-102018-09-10199908936080http://www.scopus.com/inward/record.url?eid=2-s2.0-0032796990&partnerID=MN8TOARShttp://scholars.lib.ntu.edu.tw/handle/123456789/349138https://www.scopus.com/inward/record.uri?eid=2-s2.0-0032796990&doi=10.1016%2fS0893-6080%2899%2900034-9&partnerID=40&md5=184a3f7b103f594a24d6302240f5d663The self-organization model with a conformal-mapping adaptation is studied in this work. This model is designed to provide conformal transformation to meet the conformality requirement in biological morphology and geometrical surface mapping. This model spans the network field in the input space where topological conformality is preserved. The converged network provides not only the organized clustering features of the input but also a specific mapping representation. This facilitates the Kohonen's self-organization model in exploring the input in a continuous conformality sense. Simulations for morphing applications are described. Copyright (C) 1999 Elsevier Science Ltd.The self-organization model with a conformal-mapping adaptation is studied in this work. This model is designed to provide conformal transformation to meet the conformality requirement in biological morphology and geometrical surface mapping. This model spans the network field in the input space where topological conformality is preserved. The converged network provides not only the organized clustering features of the input but also a specific mapping representation. This facilitates the Kohonen's self-organization model in exploring the input in a continuous conformality sense. Simulations for morphing applications are described.application/pdf2135045 bytesapplication/pdfConformal mapping; Facial modeling; Feature map; Morphological form; Neural networks; Schwarz-Christoffel transformation; Self-organization; Simplex quantizationComputational geometry; Computer simulation; Conformal mapping; Mathematical models; Mathematical morphology; Mathematical transformations; Conformal self-organization; Neural networks; adaptation; algorithm; article; artificial neural network; computer simulation; conformation; learning; mathematical analysis; model; morphology; priority journal; simulationConformal self-organization for continuity on a feature mapjournal article10.1016/S0893-6080(99)00034-92-s2.0-0032796990