Parameterization of CAD Surfaces for Meshing by Triangulation Flattening
Sheffer, Alla; de Sturler, Eric
Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.699-708, September 2000
Computaitonal Science and Engineering Program,
University of Illinois at Urbana Champaign,
Urbana, IL, 61801
e-mail: sheffa@uiuc.edu, sturler@uiuc.edu
Abstract
A new method for parameterization of triangulated surfaces by generating a planar triangulation is described. The method provides a projection function which minimizes the distortion of the surface metric structures (lengths, angles, etc.). It can handle any manifold surface including surfaces with large curvatures c hanges and non-convex domain boundaries. By using a set of constraints which define a legal 2D triangulation, the existence of a theoretical solution to the minimization procedure is guaranteed.
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