Computer Aided Geometric Design
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Computer Aided Geometric Design
Computer Aided Geometric Design
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Curvature continuous spline surfaces over irregular meshes
Computer Aided Geometric Design
Computer Aided Geometric Design
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Computer Aided Geometric Design
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Computer Aided Geometric Design
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Computer Aided Geometric Design
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ACM SIGGRAPH 2006 Papers
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ACM Transactions on Graphics (TOG)
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Journal of Computational Physics
Computer Aided Geometric Design
Computer Aided Geometric Design
ACM SIGGRAPH 2009 papers
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SGP '08 Proceedings of the Symposium on Geometry Processing
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Machine Graphics & Vision International Journal
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Computer Aided Geometric Design
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Computer-Aided Design
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Computer-Aided Design
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This paper introduces new techniques for modeling low degree, smooth free-form surfaces of unrestricted patch layout. In particular, surfaces that are C2 after reparametrization can be built from tensor-product Bézier or spline patches of degree (3, 3) and (3, d + 2); at extraordinary points, these surfaces have the flexibility of C2 splines of total degree d 0. The particular choice, d = 3, yields more than n+5 vector-valued degree of freedom where n patches join. The techniques generalize to Gk constructions of free-form surfaces of degree (k + 1,d + 2k - 2).