Proceedings of the 2010 International Conference on Mechanical, Industrial, and Manufacturing Technologies (MIMT 2010)
58 Free-Form Surface Generation with Fourth Order Partial Differential Equations
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In this study we investigate how to generate free-form surface design using partial differential equations (PDE). The extension of Bloor and Wilson PDE based approach is considered. The method views surface generation as a boundary value problem and produces free-form surfaces as the solution to elliptic PDE. Intrinsic parameter controls the geometry of the surface through the boundary conditions on the solution of the PDE. Thus, we show the representation using illustrative examples.