Conformal self-organizing map for a genus-zero manifold

This paper presents the implementation of a surface mesh on a genus-zero manifold with 3D scattered data of sculpture surfaces using the conformal self-organizing map (CSM). It starts with a regular mesh on a sphere and gradually shapes the regular mesh to match its object’s surface by using the CSM...

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Published in:The Visual computer 2005-06, Vol.21 (5), p.340-353
Main Authors: Liou, Cheng-Yuan, Kuo, Yen-Ting
Format: Article
Language:English
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Computer graphics
Conformal mapping
Manifolds
Self organizing maps
Statuary
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description This paper presents the implementation of a surface mesh on a genus-zero manifold with 3D scattered data of sculpture surfaces using the conformal self-organizing map (CSM). It starts with a regular mesh on a sphere and gradually shapes the regular mesh to match its object’s surface by using the CSM. It can drape a uniform mesh on an object with a high degree of conformality. It accomplishes the surface reconstruction and also defines a conformal mapping from a sphere to the object’s manifold.
doi_str_mv 10.1007/s00371-005-0290-6
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subjects Computer graphics
Conformal mapping
Manifolds
Self organizing maps
Statuary
title Conformal self-organizing map for a genus-zero manifold
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