An Investigation of Techniques for Asymmetry Rectification-Reference-Cited by-同舟云学术

An Investigation of Techniques for Asymmetry Rectification

Published:1995-12-01 Issue:4 Volume:117 Page:620-626
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Kulkarni P.¹²,Dutta D.¹²

Affiliation:

1. Department of Mechanical Engineering and Applied Mechnanics, The University of Michigan, Ann Arbor, MI A@R. Saigal

2. Department of Industrial and Operations Engineering, The University of Michigan, Ann Arbor, MI 48109-2125

Abstract

This paper is concerned with symmetry and asymmetry in objects. Earlier studies on the subject have dealt with the detection of symmetry. We study the problem of asymmetry rectification, i.e., given an asymmetric profile, suggest geometric changes to make it symmetric. We have investigated two techniques for asymmetry rectification. This paper reports on the techniques and the results. First, we analyze the problem using skeleton representations and propose a simple algorithm for rectifying asymmetric convex profiles. Next, we outline an optimization scheme for the rectification of convex and nonconvex profiles, in 2D and 3D. Implemented examples are presented for both algorithms.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/117/4/620/5583054/620_1.pdf

Reference19 articles.

1. Atallah M. J. , 1985, “On Symmetry Detection,” IEEE Transactions on Computers, Vol. C34, No. 7, July, pp. 663–666.

2. Bendsoe M. P. , and KikuchiN., 1988, “Generating Optimal Topologies in Structural Design using a Homogenization Method,” Computer Methods in Applied Mechanics and Engineering, Vol. 71, pp. 197–224.

3. Blum, H., ed., 1967, “A Transformation for Extracting New Descriptors of Shape,” Models for the Perception of Speech and Visual Form, Weinant Wathen-Dunn MIT Press, pp. 362–381.

4. Davis L. S. , 1977, “Understanding Shape: II. Symmetry,” IEEE Transactions on Systems, Man and Cybernetics, Vol. 7, March, pp. 204–212.

5. Dutta D. , and HoffmanC. M., 1993, “On the Skeleton of Simple CSG Objects,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 115, No. 1, March, pp. 87–94.

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