Dr Ioannis Ivrissimtzis ioannis.ivrissimtzis@durham.ac.uk
Associate Professor
Dr Ioannis Ivrissimtzis ioannis.ivrissimtzis@durham.ac.uk
Associate Professor
Hans-Peter Seidel
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.
Ivrissimtzis, I., & Seidel, H. (2004). Evolutions of Polygons in the Study of Subdivision Surfaces. Computing, 72(1-2), 93-103. https://doi.org/10.1007/s00607-003-0049-8
Journal Article Type | Article |
---|---|
Publication Date | 2004-04 |
Deposit Date | Feb 28, 2008 |
Journal | Computing |
Print ISSN | 0010-485X |
Electronic ISSN | 1436-5057 |
Publisher | Springer |
Peer Reviewed | Peer Reviewed |
Volume | 72 |
Issue | 1-2 |
Pages | 93-103 |
DOI | https://doi.org/10.1007/s00607-003-0049-8 |
Keywords | Subdivision, Evolving polygons, Circulant matrices. |
Public URL | https://durham-repository.worktribe.com/output/1553320 |
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