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Journal Articles Journal of Symbolic Computation Year : 2012

Convolution Surfaces based on Polygonal Curve Skeletons

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Abstract

This paper reviews and generalizes Convolution Surfaces, a technique used in Computer Graphics to generate smooth 3D volumes around skeletons that are lower dimensional or simpler geometric models of the shape to be created. Convolution surfaces are defined as level sets of a function obtained by integrating a kernel function along this skeleton. To allow interactive modeling, the technique has relied on closed form formulae for integration obtained through symbolic computation software.
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Dates and versions

inria-00429358 , version 1 (02-11-2009)
inria-00429358 , version 2 (30-04-2010)
inria-00429358 , version 3 (17-11-2010)

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Evelyne Hubert, Marie-Paule Cani. Convolution Surfaces based on Polygonal Curve Skeletons. Journal of Symbolic Computation, 2012, Advances in Mathematics Mechanization, 47 (6), pp.680-699. ⟨10.1016/j.jsc.2011.12.026⟩. ⟨inria-00429358v3⟩
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