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Constrained control and approximation properties of a rational interpolating curve

Constrained control and approximation properties of a rational interpolating curve
Constrained control and approximation properties of a rational interpolating curve
This paper deals with the convexity control and the strain energy control of interpolating curves using a rational cubic spline with linear denominator. The sufficient and necessary conditions for controlling the interpolating curve to be convex or concave are derived. When the function being interpolated is f(t)?C(3)[t0,tn], the error estimation of the interpolating function and the boundedness of the optimal error coefficient and its double symmetry with regard to parameters are obtained.
rational interpolation, convexity control, constrained control, approximation
0020-0255
181-194
Duan, Qi
434b132f-0b25-4c66-a177-a1ce4aace70e
Djidjeli, K.
94ac4002-4170-495b-a443-74fde3b92998
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Twizell, E.H.
46b3dc67-c9d6-414d-a8cf-19c0c0911935
Duan, Qi
434b132f-0b25-4c66-a177-a1ce4aace70e
Djidjeli, K.
94ac4002-4170-495b-a443-74fde3b92998
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Twizell, E.H.
46b3dc67-c9d6-414d-a8cf-19c0c0911935

Duan, Qi, Djidjeli, K., Price, W.G. and Twizell, E.H. (2003) Constrained control and approximation properties of a rational interpolating curve. Information Sciences, 152, 181-194. (doi:10.1016/S0020-0255(02)00409-7).

Record type: Article

Abstract

This paper deals with the convexity control and the strain energy control of interpolating curves using a rational cubic spline with linear denominator. The sufficient and necessary conditions for controlling the interpolating curve to be convex or concave are derived. When the function being interpolated is f(t)?C(3)[t0,tn], the error estimation of the interpolating function and the boundedness of the optimal error coefficient and its double symmetry with regard to parameters are obtained.

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Published date: 2003
Keywords: rational interpolation, convexity control, constrained control, approximation

Identifiers

Local EPrints ID: 22408
URI: https://eprints.soton.ac.uk/id/eprint/22408
ISSN: 0020-0255
PURE UUID: 510edc2e-611e-4977-85fe-e9d5ff0cec04

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Date deposited: 24 Mar 2006
Last modified: 19 Jul 2019 19:11

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