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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Bibliographic Details
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
Subjects:
Computer graphics
Conformal mapping
Manifolds
Self organizing maps
Statuary
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Summary: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.
ISSN:0178-2789
1432-2315
DOI:10.1007/s00371-005-0290-6