A bivariate C1 subdivision scheme based on cubic half-box splines

Pieter Barendrecht
Pieter Barendrecht

Computer Aided Geometric Design, pp. 77-89, 2019.

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Keywords:
Bivariate subdivisionThree-valent meshesHoneycomb schemeEigenanalysis

Abstract:

Among the bivariate subdivision schemes available, spline-based schemes, such as Catmull-Clark and Loop, are the most commonly used ones. These schemes have known continuity and can be evaluated at arbitrary parameter values. In this work, we develop a C1 spline-based scheme based on cubic half-box splines. Although the individual surface...More

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