Abstract
One of the important tasks of computer aided engineering design in geometric modeling. Because of theoretical and computational reasons most practical CAD-systems use parametric curves and surfaces (most commonly parametric cubic segments) in geometric modeling. Most basic ideas involved are presented in the survey paper [3] of Böhm, Farin and Kahmann, 1984. Our paper deals with quadratic splines and their application for curve and surface representation. The basic problem is to present a method for obtaining a smooth bivariate function which takes on certain prescribed values. The collection of these values is assumed to be on a rectangular grid, that is, for every point (xi, yj) on the rectangular grid {xi} ni=0 × {yj} mj=0 there is a given value zij.
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References
Ahlberg, J.H. — Nilson, E.N. — Walsh, J.L., (1967). The theory of splines and their applications. Academic Press, New York.
de Boor, C., (1978). Apractical guide to splines. Springer-Verlag, New York-Heidelberg-Berlin.
Böhm, W. — Farin, G. — Kahmann, J., (1984). A survey of curve and surface methods in CAGD. Computer Aided Geometric Design, Vol. 1. pp. 1–60.
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© 1985 Springer-Verlag Berlin Heidelberg
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Fenyves, F., Kovács, G. (1985). On Quadratic Splines and Their CAD-Application. In: Adey, R.A. (eds) Engineering Software IV. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21877-8_64
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DOI: https://doi.org/10.1007/978-3-662-21877-8_64
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-21879-2
Online ISBN: 978-3-662-21877-8
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