Continuous Piecewise Linear Approximation of BV Function  

作　　者：Hua Yi Tao Yu Zhiquan Chen Jingwen Zhu 

机构地区：[1]School of Mathematics and Physics, Jinggangshan University, Ji’an, China

出　　处：《Applied Mathematics》2014年第4期667-671,共5页应用数学（英文）

摘　　要：Nonlinear approximation is widely used in signal processing. Real-life signals can be modeled as functions of bounded variation. Thus the variable knot of approximating function could be self- adaptively chosen by balancing the total variation of the target function. In this paper, we adopt continuous piecewise linear approximation instead of the existing piecewise constants approximation. The results of experiments show that this new method is superior to the old one.Nonlinear approximation is widely used in signal processing. Real-life signals can be modeled as functions of bounded variation. Thus the variable knot of approximating function could be self- adaptively chosen by balancing the total variation of the target function. In this paper, we adopt continuous piecewise linear approximation instead of the existing piecewise constants approximation. The results of experiments show that this new method is superior to the old one.

关 键 词：Nonlinear Approximation BOUNDED Variation CONTINUOUS PIECEWISE Linear BASIS FUNCTION PIECEWISE Constant BASIS FUNCTION Compression DENOISING 

分 类 号：O1[理学—数学]