Solid Model Reconstruction of Wireframe CAD Models Based on Topological Embeddings of Planar Graphs

[+] Author and Article Information
Keisuke Inoue

Tokyo Research Laboratory, IBM Japan, Ltd., 1623-14, Shimotsuruma, Yamato-shi, Kanagawa 242-8502, Japan

Kenji Shimada, Karthick Chilaka

Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213-3890

J. Mech. Des 125(3), 434-442 (Sep 04, 2003) (9 pages) doi:10.1115/1.1586309 History: Received February 01, 2002; Revised December 01, 2002; Online September 04, 2003
Copyright © 2003 by ASME
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Markowsky,  G., and Wesley,  M. A., 1980, “Fleshing Out Wire Frames,” IBM J. Res. Dev., 24(5), pp. 582–597.
Momoi,  S., and Fukui,  Y., 1990, “A Conversion Algorithm from Wireframe Models to Solid Models,” Journal of Information Processing Society of Japan, 31(1), pp. 24–31. (in Japanese).
Hanrahan,  P. M., 1982, “Creating Volume Models from Edge-Vertex Graphs,” ACM Computer Graphics, 16(3), pp. 77–84.
Dutton,  R. D., and Brigham,  R. C., 1983, “Efficiently Identifying the Faces of a Solid,” Computers and Graphics in Mechanical Engineering, 7(2), pp. 143–147.
Hopcroft,  J. E., and Tarjan,  R. E., 1974, “Efficient Planarity Testing,” Journal of the ACM, 21(4), pp. 549–568.
Ganter,  M. A., and Uicker,  J. J., 1983, “From Wire-Frame to Solid-Geometric: Automated Conversion of Data Representations,” Computers in Mechanical Engineering, 2(2), pp. 40–45.
Courter, S. M., 1986, “Automated Conversion of Curvilinear Wire-Frame Models to Surface Boundary Models; A Topological Approach,” SIGGRAPH ’86, 20 (4), pp. 171–178.
Agarwal,  S. C., and Waggenspack,  W. N., 1992, “Decomposition Method for Extracting Surface Topologies from Wireframe Models,” Comput.-Aided Des., 24(3), pp. 123–140.
Graham, R. L., Grötschel, M., and Lovász, L., eds., 1995, Handbook of Combinatorics, Vol. 1, Elsevier, Amsterdam.
Hopcroft,  J. E., and Tarjan,  R. E., 1973, “Dividing a Graph into Triconnected Components,” SIAM J. Comput., 2(3), pp. 135–158.
Yamada, A., Shimada, K., Furuhata T., and Hou, K., 1999, “A Discrete Spring Model to Generate Fair Curves and Surfaces,” Proceedings, Pacific Graphics ’99, pp. 270–279.
Melhorn, K., and Näher, S., 1999, LEDA: A Platform for Combinatorial and Geometric Computing, Cambridge University Press, Cambridge, UK.


Grahic Jump Location
Sample of multiple interpretations
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Wireframe embeddable only on the torus
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Equivalence classes and split graphs
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Three types of split components
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Input graph, the triconnected component decomposition, and the structure graph (left to right)
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Sample embeddings of triconnected components
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Embedding a 2-connected graph by reversing the sphere
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A solution with interfering faces
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Edge ordering (ordering on the right makes a larger sum)
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Case 1: a 2-connected input wireframe
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Structure graph of Case 1 wireframe
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The minimum-area solution of Case 1 wireframe
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Case 2: a disconnected wireframe
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The minimum-area solution of Case 2 wireframe



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