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2010
Springer

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

9 years 10 months ago
3D ball skinning using PDEs for generation of smooth tubular surfaces
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 C1 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. Key words: Skinning, Minimal surfaces, Variational methods, Partial differential equations, Splines Preprint submitted to Elsevier 23 December 2008
Gregory G. Slabaugh, Brian Whited, Jarek Rossignac
Added 09 Dec 2010
Updated 09 Dec 2010
Type Journal
Year 2010
Where CAD
Authors Gregory G. Slabaugh, Brian Whited, Jarek Rossignac, Tong Fang, Gozde B. Unal
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