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3D ball skinning using PDEs for generation of smooth tubular surfaces

Slabaugh, Greg and Whited, Brian and Rossignac, Jarek and Fang, Tong and Ünal, Gözde (2010) 3D ball skinning using PDEs for generation of smooth tubular surfaces. Computer-Aided Design (Sp. Iss. SI), 42 (1). pp. 18-26. ISSN 0010-4485

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Official URL: http://dx.doi.org/10.1016/j.cad.2009.03.004

Abstract

We present an approach to compute a smooth, interpolating skin of an ordered set of 3D balls. By construction, the skin is constrained to be C-1 continuous, and for each ball, it is tangent to the ball along a circle of contact. Using an energy formulation, we derive differential equations that are designed to minimize the skin's surface area, mean curvature, or convex combination of both. Given an initial skin, we update the skin's parametric representation using the differential equations until convergence occurs. We demonstrate the method's usefulness in generating interpolating skins of balls of different sizes and in various configurations.

Item Type:Article
Additional Information:Document Type: Proceedings Paper -- 5th International Conference on Geometric Modeling and Processing (GMP 2008), Hangzhou, China, April 23-25, 2008
Uncontrolled Keywords:Skinning; Minimal surfaces; Variational methods; Partial differential equations; Splines
Subjects:Q Science > QA Mathematics > QA075 Electronic computers. Computer science
ID Code:15204
Deposited By:Gözde Ünal
Deposited On:16 Nov 2010 22:17
Last Modified:25 May 2011 14:12

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