Continuous Piecewise Linear Approximation of BV Function
Hua Yi, Yu Tao, Zhiquan Chen, Jingwen Zhu · Applied Mathematics · 2014
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.