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High-Quality and Property Controlled Finite Element Mesh Generation From Triangular Meshes using the Multiresolution Technique

[+] Author and Article Information
Hiroaki Date

Graduate School of Information Science and Technology,  Hokkaido University, Kita-14, Nishi-9, Kita-ku, Sapporo 060-0814, Japanhdate@ssi.ist.hokudai.ac.jp

Satoshi Kanai

Graduate School of Information Science and Technology,  Hokkaido University, Kita-14, Nishi-9, Kita-ku, Sapporo 060-0814, Japankanai@ssi.ist.hokudai.ac.jp

Takeshi Kishinami

Graduate School of Information Science and Technology,  Hokkaido University, Kita-14, Nishi-9, Kita-ku, Sapporo 060-0814, Japankisinami@ssi.ist.hokudai.ac.jp

Ichiro Nishigaki

 Hitachi, Mechanical Engineering Research Laboratory, 832-2, Horiguchi, Hitachinaka 312-0034, Japanichiro.nishigaki.mp@hitachi.com

Takayuki Dohi

 Hitachi Information Systems, 2-1-20 Jyonan, Mito 310-0803, Japant-dohi@hitachijoho.com

J. Comput. Inf. Sci. Eng 5(4), 266-276 (Mar 02, 2005) (11 pages) doi:10.1115/1.2052847 History: Received October 09, 2004; Revised March 02, 2005

In this paper, we propose a new triangular finite element mesh generation scheme from various kinds of triangular meshes using the multiresolution technique. The proposed scheme consists of two methods: a mesh quality improvement method and a mesh property control method. The basic strategy of these methods is a combination of the mesh subdivision and simplification. Given mesh is first subdivided to obtain enough degree of freedom for a property change, then by simplification using edge collapse for the resulting mesh to change the mesh properties, we can easily improve and control the mesh properties required for finite element analysis.

Copyright © 2005 by American Society of Mechanical Engineers
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Figures

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Figure 1

An overview of our mesh generation scheme

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Figure 2

Our mesh processing strategy

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Figure 3

Multiresolution representation and multiresolution mesh

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Figure 4

Edge collapse and vertex split

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Figure 5

Quality improvement and property control using subdivision and simplification

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Figure 6

Mesh subdivision rules

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Figure 7

Mesh simplification algorithm

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Figure 8

Results for crankshaft mesh generated by tessellation

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Figure 9

Results for terra cotta mesh generated by reverse engineering

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Figure 10

Mesh quality improvement for textured mouse generated by mesh combining

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Figure 11

Stretch distributions

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Figure 12

Tolerance control

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Figure 13

A comparison with finite element meshers for a mechanical part

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Figure 14

A comparison with finite element meshers for a cellular phone

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Figure 15

Stretch distributions

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Figure 17

An example of hole filling

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