Conformal self-organization for continuity on a feature map
Resource
Neural Networks 12 (6): 893-905
Journal
Neural Networks
Journal Volume
12
Journal Issue
6
Pages
893-905
Date Issued
1999
Author(s)
Tai, W. P.
Abstract
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. 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.
Subjects
Conformal mapping; Facial modeling; Feature map; Morphological form; Neural networks; Schwarz-Christoffel transformation; Self-organization; Simplex quantization
Other Subjects
Computational 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; simulation
Type
journal article
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