Shape-Controlled Ternary Interpolating Subdivision Scheme Based on Approximating Subdivision
- Resource Type
- Conference
- Authors
- Pan, Jun; Chen, Kerui; Chen, Qiang
- Source
- 2012 Fourth International Conference on Digital Home Digital Home (ICDH), 2012 Fourth International Conference on. :346-350 Nov, 2012
- Subject
- Computing and Processing
Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Interpolation
Computers
Educational institutions
Polynomials
Shape control
ternary subdivision
approximation
interpolation
shape control parameters
- Language
In this paper a shape-controlled interpolating subdivision scheme is presented. It is derived by directly performing operations on geometric rules on approximating subdivision. The behavior of the limit curve produced by the proposed subdivision scheme is analyzed by the Laurent polynomial and attains C2 degree of smoothness. Furthermore, a non-uniform shape-controlled subdivision with shape control parameters is introduced. It allows a different tension value for every edge of the original control polygon.