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PDE surface generation with combined closed and non-closed form solutions

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Abstract

Partial differential equations (PDEs) combined with suitably chosen boundary conditions are effective in creating free form surfaces. In this paper, a fourth order partial differential equation and boundary conditions up to tangential continuity are introduced. The general solution is divided into a closed form solution and a non-closed form one leading to a mixed solution to the PDE. The obtained solution is applied to a number of surface modelling examples including glass shape design, vase surface creation and arbitrary surface representation.

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Authors and Affiliations

  1. National Centre for Computer Animation, Bournemouth University, U.K.

    Jian-Jun Zhang & Li-Hua You

Authors
  1. Jian-Jun Zhang
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  2. Li-Hua You
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Correspondence to Jian-Jun Zhang.

Additional information

Jian-Jun Zhang is a professor of computer graphics at the National Centre for Computer Animation, Bournemouth Media School, Bournemouth University, UK. His research interests include computer graphics, computer animation, geometric modelling, physics-based simulation and medical visualisation. Currently he is the head of research at Bournemoth Media School.

Li-Hua You is currently a research fellow at the National Centre for Computer Animation, Bournemouth Media School, Bournemouth University, UK. His research interests are computer graphics, computer animation and geometric modelling.

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Zhang, JJ., You, LH. PDE surface generation with combined closed and non-closed form solutions. J. Comput. Sci. & Technol. 19, 650–656 (2004). https://doi.org/10.1007/BF02945591

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  • DOI: https://doi.org/10.1007/BF02945591

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