Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Techniques for interactive design using the PDE method
ACM Transactions on Graphics (TOG)
Geometric structures for three-dimensional shape representation
ACM Transactions on Graphics (TOG)
Construction of blending surfaces by parametric discrete interpolation PDE splines
Mathematics and Computers in Simulation
Numerical simulation of stable structures of fluid membranes and vesicles
ICCOMP'06 Proceedings of the 10th WSEAS international conference on Computers
Method of surface reconstruction using partial differential equations
ICCOMP'06 Proceedings of the 10th WSEAS international conference on Computers
Deformation of dynamic surfaces
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
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The aim of this paper is to show how the spine of a PDE surface can be generated and how it can be used to efficiently parameterise a PDE surface. For the purpose of the work presented here an approximate analytic solution form for the chosen PDE is utilised. It is shown that the spine of the PDE surface is then computed as a by-product of this analytic solution. Furthermore, it is shown that a parameterisation can be introduced on the spine enabling intuitive manipulation of PDE surfaces.