Many-knot spline technique for approximation of data |
| |
Authors: | Dongxu Qi Huashan Li |
| |
Affiliation: | (1) CAD Laboratory, Institute of Computing Technology, Chinese Academy of Sciences, 10080 Beijing, China;(2) CAD Research Center, North China University of Technology, 100041 Beijing, China |
| |
Abstract: | A class of new fundamental functions with compact support called many-knot spline is introduced. The two-scale relation for the fundamental functions is investigated, and the higher order accuracy spline approximation scheme is constructed by using the available degrees of freedom which come from additional knots. The technique has been efficiently applied to the problems such as time-frequency analysis, computer aided geometric design, and digital signal processing. |
| |
Keywords: | many-knot spline cardinal interpolation data smoothing curve fitting two-scale relation |
本文献已被 CNKI SpringerLink 等数据库收录! |
|