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
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
2003
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, .
(doi:10.1016/S0020-0255(02)00409-7).
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.
Text
duan_02.pdf
- Accepted Manuscript
More information
Published date: 2003
Keywords:
rational interpolation, convexity control, constrained control, approximation
Identifiers
Local EPrints ID: 22408
URI: http://eprints.soton.ac.uk/id/eprint/22408
ISSN: 0020-0255
PURE UUID: 510edc2e-611e-4977-85fe-e9d5ff0cec04
Catalogue record
Date deposited: 24 Mar 2006
Last modified: 15 Mar 2024 06:37
Export record
Altmetrics
Contributors
Author:
Qi Duan
Author:
E.H. Twizell
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics