𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A class of quasi Bézier curves based on hyperbolic polynomials

✍ Scribed by Wan-qiang Shen; Guo-zhao Wang

Publisher
SP Zhejiang University Press
Year
2005
Tongue
English
Weight
435 KB
Volume
6
Category
Article
ISSN
1009-3095

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Sample-based polynomial approximation of
Sample-based polynomial approximation of rational Bézier curves
✍ Lizheng Lu 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 266 KB

We present an iteration method for the polynomial approximation of rational Bézier curves. Starting with an initial Bézier curve, we adjust its control points gradually by the scheme of weighted progressive iteration approximations. The L p -error calculated by the trapezoidal rule using sampled poi

A class of Bézier-like curves
A class of Bézier-like curves
✍ Qinyu Chen; Guozhao Wang 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 185 KB

In this paper, a new basis, to be called C-Bézier basis, is constructed for the space Γ n = span{1, t, t 2 , . . . , t n-2 , sin t, cos t} by an integral approach. Based on this basis, we define C-Bézier curves. We then show that such basis and curves share the same properties as the Bernstein basis

Constrained approximation of rational Bé
Constrained approximation of rational Bézier curves based on a matrix expression of its end points continuity condition
✍ Hong-Jie Cai; Guo-Jin Wang 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 490 KB

For high order interpolations at both end points of two rational Bézier curves, we introduce the concept of C (v,u) -continuity and give a matrix expression of a necessary and sufficient condition for satisfying it. Then we propose three new algorithms, in a unified approach, for the degree reductio

A note on constrained degree reduction o
A note on constrained degree reduction of polynomials in Bernstein–Bézier form over simplex domain
✍ Lizheng Lu 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 273 KB

Kim and Ahn proved that the best constrained degree reduction of a polynomial over d-dimensional simplex domain in L 2 -norm equals the best approximation of weighted Euclidean norm of the Bernstein-Bézier coefficients of the given polynomial. In this paper, we presented a counterexample to show tha