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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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References

Figures

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

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