Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

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
Date accepted:No date available
Date deposited:No date available
Date of first online publication:April 2004
Date first made open access:No date available

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitterExport: EndNote, Zotero | BibTex
Look up in GoogleScholar | Find in a UK Library