| ¡¡ | Chinese Journal of Computers Full Text |
| Title | A Class of General Franklin Functions and Its Application |
| Authors | CAI Zhan-Chuan1) CHEN Wei2) QI Dong-Xu3) TANG Ze-Sheng1),3) |
| Address | 1)(Faculty of Information Technology, Macau University of Science and Technology, Macau) 2)(School of Information Science and Technology, Sun Yat-Sen University, Guangzhou 510275) 3)(School of Information Science and Technology, Tsinghua University, Beijing 100084) |
| Year | 2009 |
| Issue | No.10(2004¡ª2013) |
| Abstract & Background | Abstract In order to explore orthogonal representation and the property of frequency spectrum for parametric spline curves and surfaces, a class of orthogonal spline functions system, named as GFsystem, is proposed. Based on GFsystem, the transfer processes are described, by which frequency spectrum is obtained for a given spline curves and surfaces. The algorithm is visible, simple and fast; the program for processing data can be used to analyze and synthesize spline curves and surfaces. Experiments demonstrate that GFsystem proposed is more suitable for representing spline curves and surfaces than Fourier function system. Keywords orthogonal; GFsystem; curves and surfaces; frequency spectrum |