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Author Qi Duan ♦ Chen, T.S. ♦ Djidjeli, K. ♦ Price, W.G. ♦ Twizell, E.H.
Sponsorship K.C. Wong Found.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2000
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Special computer methods
Subject Keyword Shape control ♦ Spline ♦ Interpolation ♦ Mathematics ♦ Physics ♦ Computer science ♦ Design engineering ♦ Marine vehicles ♦ Statistics ♦ Sufficient conditions
Abstract Constraining an interpolating curve to be bounded in a given region is an important task in curve design. In (Qi Duan et al., 1999) the rational cubic spline with a linear denominator has been used to control the interpolating curves to be bounded in the given region, but it does not work in some cases. This paper deals with the weighted rational cubic spline with a linear denominator for this kind of constraint, the sufficient condition for controlling the interpolating curves to be bounded in the given region are derived. An example is given which shows that the constraint which cannot be done by the rational spline defined in (Qi Duan et al., 1999) could be achieved by the weighted rational spline.
Description Author affiliation: Dept. of Math. & Phys., Shandong Univ., Jinan, China (Qi Duan)
ISBN 0769505627
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2000-04-10
Publisher Place China
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 267.53 kB
Page Count 6
Starting Page 184
Ending Page 189


Source: IEEE Xplore Digital Library