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Research Papers

Finite Element Method and Sharp Features Enhanced Laplacian for Interactive Shape Design of Mechanical Parts

[+] Author and Article Information
Bing Yi, Zhenyu Liu, Guifang Duan, Fengbei Cheng, Jianrong Tan

State Key Lab of CAD&CG,
Zhejiang University,
Hangzhou 310027, China

Contributed by the Computing and Information Division of ASME for publication in the JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING. Manuscript received July 10, 2013; final manuscript received January 8, 2014; published online March 12, 2014. Assoc. Editor: Charlie C. L. Wang.

J. Comput. Inf. Sci. Eng 14(2), 021007 (Mar 12, 2014) (9 pages) Paper No: JCISE-13-1122; doi: 10.1115/1.4026469 History: Received July 10, 2013; Revised January 08, 2014

Laplacian based model editing is one of the most popular shape modification methods for product design. However, most existing Laplacian based methods suffer shape structure and saliency feature distortion, which limits its possible application in shape design of mechanical parts. In this paper, to improve the mesh rigidity and to make the shape deforms physically, finite element method is employed to enhance the Laplacian based model editing, and to keep the saliency features, a robust sharp feature detecting method is further proposed for guiding the modification of the mesh Laplacian in shape deformation. We show how to utilize the enhanced Laplacian for interactive shape design of mechanical parts. The empirical results illustrate that the proposed method yield improved performance compared with conventional methods.

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Figures

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Fig. 1

Sharp feature detection of screw models (the recognized planar points, edge points, and corner points are colored blue, green, and red, respectively)

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Fig. 2

Flowchart of the enhanced Laplacian for interactive mesh editing method

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Fig. 3

Interactive editing of fandisk model (in (a), the recognized plane, edge, and corner points by tensor voting method are shown with blue, green, and red respectively; in (b) the constrained points are marked with red solid circles, and in (c) the force driven points are marked with pink dotted circles; in (d), (e), (f), and (g), the saliency feature of the original model is illustrated with red points; (h), (i), (j), and (k) compare the original model and the deformed model)

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Fig. 4

Interactive editing of block model (description of each figure is the same with that in Fig. 3)

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Fig. 5

Interactive editing of blade model (description of each figure is the same with that in Fig. 3)

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Fig. 6

Interactive deformation of the back panel of a car (the constrained points are marked with red solid circles, and the force driven points are marked with blue dotted circles; the force direction is shown with a red arrow)

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Fig. 7

Interactive deformation of the front panel of a car (description of each figure is the same with that in Fig. 6)

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Fig. 8

Interactive deformation of the bottom panel of a car (description of each figure is the same with that in Fig. 6)

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