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TECHNICAL PAPERS

On the Exact Representation of the Boundary Surfaces of the Swept Volume of a Cylinder Undergoing Rational Bézier and B-Spline Motions

[+] Author and Article Information
J. Xia

Department of Mechanical Engineering State University of New York Stony Brook, New York 11794-2300xia@design.eng.sunysb.edu

Q. J. Ge

Department of Mechanical Engineering State University of New York Stony Brook, New York 11794-2300qge@notes.cc.sunysb.edu

J. Mech. Des 123(2), 261-265 (Jun 01, 1999) (5 pages) doi:10.1115/1.1357539 History: Received June 01, 1999
Copyright © 2001 by ASME
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Xia, J., and Ge, Q. J., 1999, “On the Exact Representation of the Boundary Surfaces of the Swept Volume of a Cylinder Undergoing Rational Bezier and B-spline Motions,” Proceedings 1999 ASME Design Automation Conference, Las Vegas, Paper No. DETC99/DAC-8607.
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Figures

Grahic Jump Location
Four control planes for a cylinder view from the x-axis
Grahic Jump Location
The type I boundary surface of a cylindrical surface under a rational Bézier motion with four Bézier control positions
Grahic Jump Location
The type II boundary surface of a cylinder under a rational Bézier motion with four Bézier control positions
Grahic Jump Location
The type III boundary surface of a cylinder under a rational Bézier motion with four Bézier control positions
Grahic Jump Location
l1 and l2 cut the circle into four parts
Grahic Jump Location
The boundary surfaces of cylinder under rational Bézier motion with four Bézier control positions
Grahic Jump Location
The boundary of a cylinder under a rational B-spline motion with four de Boor control positions

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