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Evolutions of polygons in the study of subdivision surfaces.

Ivrissimtzis, I. and Seidel, H-P. (2004) 'Evolutions of polygons in the study of subdivision surfaces.', Computing., 72 (1-2). pp. 93-103.

Abstract

We employ the theory of evolving n-gons in the study of subdivision surfaces. We show that for subdivision schemes with small stencils the eige¬nanalysis of an evolving polygon, corresponding either to a face or to the 1-¬ring neighborhood of a vertex, complements in a geometrically intuitive way the eigenanalysis of the subdivision matrix. In the applications, we study the types of singularities that may appear on a subdivision surface, and we find properties of the subdivision surface that depend on the initial control polyhedron only.

Item Type:Article
Keywords:Subdivision, Evolving polygons, Circulant matrices.
Full text:Full text not available from this repository.
Publisher Web site:http://dx.doi.org/10.1007/s00607-003-0049-8
Record Created:28 Feb 2008
Last Modified:19 Mar 2010 15:16

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