Partial Said-Ball curves: A new type of generalized Ball curves
- Resource Type
- Conference
- Authors
- Wang, Yiduo; Lang, Haitao; Xue, Wei; Xie, Chaoran
- Source
- 2012 IEEE International Conference on Computer Science and Automation Engineering (CSAE) Computer Science and Automation Engineering (CSAE), 2012 IEEE International Conference on. 3:665-669 May, 2012
- Subject
- Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Computing and Processing
Robotics and Control Systems
Equations
Mathematical model
Educational institutions
Design automation
Algorithm design and analysis
Chemical technology
Bézier curve
generalized Ball curve
partial Said-Ball curve
transforming matrix
- Language
Ball basis was introduced for cubic polynomials by Ball, then generalized for polynomials of higher degree by Wang and Said. In this paper we present theorems and algorithms about constructing a new type of generalized Ball curves: Partial Said-Ball curves; investigate the properties and Bézier representation of the new curves; give the transforming matrixes between the basis of new curves and Bernstein basis which constructing Bézier curves. Furthermore, the shape differences between the new curves and the other existent generalized Ball curves are demonstrated through examples.