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C2 free-form surfaces of degree (3,5)

✍ Scribed by Jörg Peters

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 291 KB
Volume: 19
Category: Article
ISSN: 0167-8396
DOI: 10.1016/s0167-8396(01)00081-4

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✦ Synopsis

This paper introduces new techniques for modeling low degree, smooth free-form surfaces of unrestricted patch layout. In particular, surfaces that are C 2 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 C 2 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 G k constructions of free-form surfaces of degree (k + 1, d + 2k -2).

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