Shape classification of the parametric cubic curve and parametric B-spline cubic curve
β Scribed by C.Y. Wang
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 504 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0010-4485
No coin nor oath required. For personal study only.
β¦ Synopsis
The conditions leading to a point of inflexion, loop or cusp for parametric cubic curves and parametric B-spline cubic curves are investigated. Some useful conclusions are obtained.
Computer a/ded geometric design Academic Press
π SIMILAR VOLUMES
A Igorithms that can obtain rational and special parametric equations for degree three algebraic curves (cubics) and degree three algebraic surfaces (cubicoids), given their implicit equations are described. These algorithms have been implemented on a VAX8600 using VAXIMA.
Sections of parametric surfaces defined by equally spaced parameter values can be very unevenly spaced physically. This can cause practical problems when the surface is to be drawn or machined automatically. This paper describes a method for imposing a good parametrization on a curve constructed by