TITLE:
Continuous Piecewise Linear Approximation of BV Function
AUTHORS:
Hua Yi, Tao Yu, Zhiquan Chen, Jingwen Zhu
KEYWORDS:
Nonlinear Approximation; Bounded Variation; Continuous Piecewise Linear Basis Function; Piecewise Constant Basis Function; Compression; Denoising
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.4,
March
10,
2014
ABSTRACT: 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.