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TECHNICAL PAPERS

A Boundary-Blending Method for the Parametrization of 2D Surfaces With Highly Irregular Boundaries

[+] Author and Article Information
Jui-Jen Chuang, Daniel C. H. Yang

Mechanical and Aerospace Engineering Department, University of California, Los Angeles, Los Angeles, CA 90095

J. Mech. Des 126(2), 327-335 (May 05, 2004) (9 pages) doi:10.1115/1.1667912 History: Received June 01, 2001; Revised July 01, 2003; Online May 05, 2004
Copyright © 2004 by ASME
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References

Figures

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Boundary interpolated plane patches
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2D parametrization with relatively uneven grid distribution via Laplace generation method
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The dual geometric offsetting procedures for a unidirectional 2D surface parametrization
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Geometric definition in the design of nonuniform offset vector
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Two examined examples for the design of offsetting vector
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Direction adjustment factor λj vs. isoparametric value vj
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The effect of different ρ values to the parametrization result
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The plot of function Kj−1(u) vs. κj−1
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The effect of μ values on the speed of curvature averaging
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Plot of combined curvature blending function ωj−1 vs. (j/n)
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Surface composition in bi-directional 2D parametrization using nonuniform offsetting method
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Examples of 2D boundary-fitted parametrization

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