Tuning Subdivision by Minimising Gaussian Curvature Variation Near Extraordinary Vertices

Ursula Augsdörfer, Neil A. Dodgson, Malcolm A. Sabin

Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

Abstract

We present a method for tuning primal stationary subdivision schemes to give the best possible behaviour near extraordinary vertices with respect to curvature variation.
Current schemes lead to a limit surface around extraordinary vertices for which the Gaussian curvature diverges, as demonstrated by Karčiauskas et al. [ KPR04 ]. Even when coefficients are chosen such that the subsubdominant eigenvalues, , equal the square of the subdominant eigenvalue, , of the subdivision matrix [ DS78 ] there is still variation in the curvature of the subdivision surface around the extraordinary vertex as shown in recent work by Peters and Reif [ PR04 ] illustrated by Karčiauskas et al. [ KPR04 ].
Originalspracheenglisch
Seiten (von - bis)263-272
FachzeitschriftComputer Graphics Forum
Jahrgang25
Ausgabenummer3
PublikationsstatusVeröffentlicht - Sep 2006

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Tuning Subdivision by Minimising Gaussian Curvature Variation Near Extraordinary Vertices. / Augsdörfer, Ursula; Dodgson, Neil A. ; Sabin, Malcolm A. .

in: Computer Graphics Forum, Jahrgang 25, Nr. 3, 09.2006, S. 263-272.

Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

Augsdörfer, Ursula ; Dodgson, Neil A. ; Sabin, Malcolm A. . / Tuning Subdivision by Minimising Gaussian Curvature Variation Near Extraordinary Vertices. in: Computer Graphics Forum. 2006 ; Jahrgang 25, Nr. 3. S. 263-272.
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