✦ LIBER ✦

Convexity control and approximation properties of interpolating curves

✍ Scribed by Duan, Qi ;Chen, Tzer-Shyong ;Djidjeli, K. ;Price, W. G. ;Twizell, E. H.

Publisher: Springer-Verlag
Year: 2000
Tongue: English
Weight: 125 KB
Volume: 7
Category: Article
ISSN: 1226-0061
DOI: 10.1007/bf03012201

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Region control and approximation of a we

Region control and approximation of a weighted rational interpolating curves

✍ Duan, Qi ;Zhang, Yunfeng ;Wang, Liqiu ;Twizell, E. H. 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 127 KB

A novel approach to the convexity contro

A novel approach to the convexity control of interpolant curves

✍ Duan, Qi ;Wang, Liqiu ;Twizell, E. H. 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 103 KB

## Abstract A method is presented for controlling the convexity of interpolant curves based on a rational cubic interpolating function with quadratic denominator. The key idea is that the uniqueness of the interpolating function for the given data is replaced by the uniqueness of the interpolating

Interpolation and Approximation from Con

Interpolation and Approximation from Convex Sets

✍ Bernd Mulansky; Marian Neamtu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 400 KB

We derive conditions which guarantee that the set B & A &1 (d ) is nonempty and dense in C & A &1 (d ). Some applications to shape preserving interpolation and approximation are described.

Asymptotic approximation of convex curve

Asymptotic approximation of convex curves

✍ Monika Ludwig 📂 Article 📅 1994 🏛 Springer 🌐 English ⚖ 341 KB

Local control of interpolating rational

Local control of interpolating rational cubic spline curves

✍ Qi Duan; Fangxun Bao; Shitian Du; E.H. Twizell 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 851 KB

A rational spline based on function values only was constructed in the authors' earlier works. This paper deals with the properties of the interpolation and the local control of the interpolant curves. The methods of value control, convex control and inflection-point control of the interpolation at

Point control of rational interpolating

Point control of rational interpolating curves using parameters

✍ Fangxun Bao; Qinghua Sun; Jianxun Pan; Qi Duan 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 337 KB

A rational cubic spline, a kind of smooth interpolator with cubic denominator, is constructed using function values and first derivatives of a function. In order to meet the needs of practical design, a new method of value control, inflection-point control and convexity control of the interpolation