Curvilinear Mesh Adaptation using Radial Basis Function Interpolation\n and Smoothing

2018/04/10 by Vidhi Zala, Varun Shankar, Zala, Vidhi +5
Engineering · Medicine · #Advanced Numerical Analysis Techniques #3D Shape Modeling and Analysis #Pelvic and Acetabular Injuries

paper · pdf · doi:10.48550/arxiv.1804.03358

Abstract

We present a new iterative technique based on radial basis function (RBF)\ninterpolation and smoothing for the generation and smoothing of curvilinear\nmeshes from straight-sided or other curvilinear meshes. Our technique\napproximates the coordinate deformation maps in both the interior and boundary\nof the curvilinear output mesh by using only scattered nodes on the boundary of\nthe input mesh as data sites in an interpolation problem. Our technique\nproduces high-quality meshes in the deformed domain even when the deformation\nmaps are singular due to a new iterative algorithm based on modification of the\nRBF shape parameter. Due to the use of RBF interpolation, our technique is\napplicable to both 2D and 3D curvilinear mesh generation without significant\nmodification.\n

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