Accurate Modelling of Complex Functional Surfaces for Mechanical Design Using Freeform Surfaces

[+] Author and Article Information
Y. T. Lee, L. Fang

School of Mechanical and Production Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798

J. Mech. Des 122(2), 236-239 (Feb 01, 2000) (4 pages) doi:10.1115/1.533572 History: Received March 01, 1998; Revised February 01, 2000
Copyright © 2000 by ASME
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Piegl, L., and Tiller, W., 1995, The NURBS Book, Springer-Verlag Berlin Heidelberg.
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Lamousin,  H. J., and Waggenspack,  W. N., 1994, “NURBS-Based Free-Form Deformations,” IEEE Comput. Graph. Appl., 14, No. 6, pp. 59–65.
Gordon, W. J., and Riesenfeld, R. F., 1974, “B-spline Curves and Surfaces,” Computer Aided Geometric Design: Proceedings of a Conference held at the University of Utah, Salt Lake City, March, 1974, R. E. Barnhill and R. F. Riesenfeld, eds., Academic Press Inc., New York, pp. 95–126.
Lee,  E. T. Y., 1989, “Choosing Nodes in Parametric Curve Interpolation,” Comput.-Aided Des.,21, No. 6, pp. 363–370.
Fang, L., 1998, “Deformable Object Modelling and Its Exploitation in Engineering Design,” Ph.D. thesis, Nanyang Technological University, Singapore.


Grahic Jump Location
The transformation of a straight line into a sinusoid; both the original curve, C(u), and resulting curve, C*(u), are NURBS curves.
Grahic Jump Location
The profile of an involute gear tooth
Grahic Jump Location
The surface model of a spur involute gear tooth
Grahic Jump Location
A 12-tooth helical gear



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