Bounded Curvature Without Eigenanalysis

Malcolm A. Sabin, Thomas J. Cashman, Ursula Augsdörfer, Neil A. Dodgson

Publikation: Beitrag in Buch/Bericht/KonferenzbandBeitrag in einem KonferenzbandForschungBegutachtung

Abstract

It has long been known how to achieve bounded curvature at extraordinary points of a subdivision scheme by using eigenanalysis and then adjusting the mask of each extraordinary point. This paper provides an alternative insight, based on the use of second divided differences, and applies it to three familiar schemes. A single concept is shown to work in three different contexts. In each case a bounded curvature variant results, with a very simple and elegant implementation.
Originalspracheenglisch
TitelMathematics of Surfaces XII
UntertitelMathematics of Surfaces 2007
Redakteure/-innenR. Martin, M. Sabin, J. Winkler
Herausgeber (Verlag)Springer
Seiten391-411
ISBN (elektronisch)978-3-540-73843-5
ISBN (Print)978-3-540-73842-8
DOIs
PublikationsstatusVeröffentlicht - 4 Sep 2007
Veranstaltung2007 IMA International Conference on Mathematics of Surfaces: Mathematics of Surfaces 2007 - Sheffield, Großbritannien / Vereinigtes Königreich
Dauer: 4 Sep 20076 Sep 2007

Publikationsreihe

NameLecture Notes in Computer Science
Band4647

Konferenz

Konferenz2007 IMA International Conference on Mathematics of Surfaces
LandGroßbritannien / Vereinigtes Königreich
OrtSheffield
Zeitraum4/09/076/09/07

Fingerprint

Curvature
Subdivision Scheme
Divided Differences
Mask
Alternatives
Context
Concepts

Dies zitieren

Sabin, M. A., Cashman, T. J., Augsdörfer, U., & Dodgson, N. A. (2007). Bounded Curvature Without Eigenanalysis. in R. Martin, M. Sabin, & J. Winkler (Hrsg.), Mathematics of Surfaces XII : Mathematics of Surfaces 2007 (S. 391-411). (Lecture Notes in Computer Science; Band 4647). Springer. https://doi.org/10.1007/978-3-540-73843-5_24

Bounded Curvature Without Eigenanalysis. / Sabin, Malcolm A. ; Cashman, Thomas J. ; Augsdörfer, Ursula; Dodgson, Neil A. .

Mathematics of Surfaces XII : Mathematics of Surfaces 2007. Hrsg. / R. Martin; M. Sabin; J. Winkler. Springer, 2007. S. 391-411 (Lecture Notes in Computer Science; Band 4647).

Publikation: Beitrag in Buch/Bericht/KonferenzbandBeitrag in einem KonferenzbandForschungBegutachtung

Sabin, MA, Cashman, TJ, Augsdörfer, U & Dodgson, NA 2007, Bounded Curvature Without Eigenanalysis. in R Martin, M Sabin & J Winkler (Hrsg.), Mathematics of Surfaces XII : Mathematics of Surfaces 2007. Lecture Notes in Computer Science, Bd. 4647, Springer, S. 391-411, Sheffield, Großbritannien / Vereinigtes Königreich, 4/09/07. https://doi.org/10.1007/978-3-540-73843-5_24
Sabin MA, Cashman TJ, Augsdörfer U, Dodgson NA. Bounded Curvature Without Eigenanalysis. in Martin R, Sabin M, Winkler J, Hrsg., Mathematics of Surfaces XII : Mathematics of Surfaces 2007. Springer. 2007. S. 391-411. (Lecture Notes in Computer Science). https://doi.org/10.1007/978-3-540-73843-5_24
Sabin, Malcolm A. ; Cashman, Thomas J. ; Augsdörfer, Ursula ; Dodgson, Neil A. . / Bounded Curvature Without Eigenanalysis. Mathematics of Surfaces XII : Mathematics of Surfaces 2007. Hrsg. / R. Martin ; M. Sabin ; J. Winkler. Springer, 2007. S. 391-411 (Lecture Notes in Computer Science).
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