A subdivision algorithm for trigonometric spline curves
β Scribed by M.K. Jena; P. Shunmugaraj; P.C. Das
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 157 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0167-8396
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this article we present a computationally efficient subdivision algorithm for the evaluation of generalized Bernstein-BΓ©zier curves. As particular cases we have subdivision algorithms for classical as well as trigonometric Bernstein-BΓ©zier curves.
We present a non-stationary subdivision scheme for generating surfaces from meshes of arbitrary topology. Surfaces generated by this scheme are tensor product bi-quadratic trigonometric spline surfaces except at the extraordinary points. The scheme can be considered as a adaptation of the Doo-Sabin
A trigonometric curve is a real plane curve where each coordinate is given parametrically by a truncated Fourier series. The trigonometric curves frequently arise in various areas of mathematics, physics, and engineering. Some trigonometric curves can also be represented implicitly by bivariate poly
An algorithmic approach to degree reduction of B-spline curves is presented. The method consists of the following steps: (a) decompose the B-spline curve into Btzier pieces on the fly, (b) degree reduce each Btzier piece, and (c) remove the unnecessary knots. A complete algorithm and precise error