Semi-sharp Creases on Subdivision Curves and Surfaces

We explore a method for generalising Pixar semi‐sharp creases from the univariate cubic case to arbitrary degree subdivision curves. Our approach is based on solving simple matrix equations. The resulting schemes allow for greater flexibility over existing methods, via control vectors. We demonstrat...

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Bibliographic Details
Published inComputer graphics forum Vol. 33; no. 5; pp. 217 - 226
Main Authors Kosinka, J., Sabin, M. A., Dodgson, N. A.
Format Journal Article
LanguageEnglish
Published Oxford Blackwell Publishing Ltd 01.08.2014
Subjects
Analysis
and object representations
Categories and Subject Descriptors (according to ACM CCS)
Computer graphics
Computer Graphics [1.3.5]: Computational Geometry and Object Modeling-Curve
Computer Graphics [1.3.5]: Computational Geometry and Object Modeling—Curve, surface, solid, and object representations
Flexibility
Mathematical analysis
solid
Studies
Subdivisions
surface
Topological manifolds
Vectors (mathematics)
Online AccessGet full text
ISSN0167-7055
1467-8659
DOI10.1111/cgf.12447

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Summary:We explore a method for generalising Pixar semi‐sharp creases from the univariate cubic case to arbitrary degree subdivision curves. Our approach is based on solving simple matrix equations. The resulting schemes allow for greater flexibility over existing methods, via control vectors. We demonstrate our results on several high‐degree univariate examples and explore analogous methods for subdivision surfaces.
Bibliography:istex:063E60E05BA2FB771B6D4311893F34F011EAFB4D
ArticleID:CGF12447
ark:/67375/WNG-M10ZB8W8-0
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ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.12447