Abstract
This chapter deals with the use of elliptic PDEs for geometric design. The chapter introduces the common elliptic PDEs such as the Laplace equation and the Biharmonic equation and shows that they can be used as a tool for surface generation. This chapter also discusses the general elliptic PDEs for surface design. Solution schemes showing how to solve the chosen elliptic PDEs in analytic form is described. Several examples of surface generation using elliptic PDEs are also given in this chapter.
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Ugail, H. (2011). Elliptic PDEs for Geometric Design. In: Partial Differential Equations for Geometric Design. Springer, London. https://doi.org/10.1007/978-0-85729-784-6_4
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DOI: https://doi.org/10.1007/978-0-85729-784-6_4
Publisher Name: Springer, London
Print ISBN: 978-0-85729-783-9
Online ISBN: 978-0-85729-784-6
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