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Zhang, T., Fan, Q. and Shu, H. (2009) Approximation of BV Function by Piecewise Constants and Its Application in Signal Denoising and Compression. 2nd International Congress on Image and Signal Processing, Tianjin, 17-19 October 2009, 1-5.

has been cited by the following article:

• 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.