𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A novel approach to the convexity control of interpolant curves

✍ Scribed by Duan, Qi ;Wang, Liqiu ;Twizell, E. H.

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
103 KB
Volume
19
Category
Article
ISSN
1069-8299

No coin nor oath required. For personal study only.

✦ Synopsis

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 function for the given data and the parameters, so that for the given data the shape of the interpolating curve can be modified by selecting suitable parameters. Necessary and sufficient conditions are given for adjusting the convexity of the interpolating curve for given data. Examples are given and the optimal error estimation is given. Copyright Β© 2003 John Wiley & Sons, Ltd.

πŸ“œ SIMILAR VOLUMES

A Direct Approach to Computing theΞΌ-basi
A Direct Approach to Computing theΞΌ-basis of Planar Rational Curves
✍ Jianmin Zheng; Thomas W. Sederberg πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 265 KB

This paper presents an O(n 2 ) algorithm, based on GrΓΆbner basis techniques, to compute the Β΅-basis of a degree n planar rational curve. The prior method involved solving a set of linear equations whose complexity by standard numerical methods was O(n 3 ). The Β΅-basis is useful in computing the impl

A Novel Approach to Distinguish Between
A Novel Approach to Distinguish Between Intron-containing and Intronless Genes Based on the Format of Z Curves
✍ Chun-Ting Zhang; Zhe-Suai Lin; Ming Yan; Ren Zhang πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 196 KB

A novel method to distinguish between intron-containing and intronless DNA sequences has been proposed, based on different statistic behaviors between them. In this method, DNA sequences are first represented as Z curves. Three exponents alpha, beta and gamma for each given sequence are calculated b

A sliding manifold approach to the feedb
A sliding manifold approach to the feedback control of rigid robots
✍ A. Cavallo; G. De Maria; P. Nistri πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 694 KB

In this paper we propose a sliding manifold approach to the control of rigid robotic manipulators. We design a PD feedback controller via singular perturbation theory which guarantees the tracking of a reference trajectory. The control signal tends during a fast transient to the well-defined equival