Design and Tessellation of B-Spline Developable Surfaces-Reference-Cited by-同舟云学术

Design and Tessellation of B-Spline Developable Surfaces

Published:1998-09-01 Issue:3 Volume:120 Page:453-461
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Maekawa T.¹,Chalfant J.¹

Affiliation:

1. Massachusetts Institute of Technology, Dept. of Ocean Engineering, Design Laboratory, Cambridge, MA 02139-4307

Abstract

Developable surfaces are widely used in various engineering applications. However, little attention has been paid to implementing developable surfaces from the onset of a design. The first half of the paper describes a user friendly method of designing developable surfaces in terms of a B-Spline representation whose two directrices lie on parallel planes. The second half of the paper investigates a new method for development and tessellation of such B-Spline developable surfaces, which is necessary for plate cutting and finite element analysis.

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/120/3/453/5920748/453_1.pdf

Reference17 articles.

1. Abrams S. L. , BardisL., ChryssostomidisC., PatrikalakisN. M., TuohyS. T., WolterF.-E., and ZhouJ. “The Geometric Modeling and Interrogation System Praxiteles,” Journal of Ship Production, Vol. 11, No. 2, pp. 116–131, May 1995.

2. Aumann G. “Interpolation with Developable Be´zier Patches,” Computer Aided Geometric Design, Vol. 8, pp. 409–420, 1991.

3. Aumann G. “A Closer Look at Developable Bezier Surfaces,” Journal of Theoretical Graphics and Computing, Vol. 7, pp. 12–26, June 1994.

4. Bodduluri R. M. C. , and RavaniB. “Design of Developable Surfaces Using Duality Between Plane and Point Geometries,” Computer Aided Design, Vol. 25, pp. 621–632, 1993.

5. Chalfant, J. S. “Analysis and Design of Developable Surfaces for Shipbuilding,” Master’s thesis, Massachusetts Institute of Technology, Department of Ocean Engineering, Cambridge, Massachusetts, 1997.

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