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Nonlinear approximation is widely used in signalprocessing. 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 totalvariation of the target function. In this paper, we adopt continuous piecewiselinear approximation instead of the existing piecewise constants approximation.The results of experiments show that this new method is superior to the oldone.

KEYWORDS

Nonlinear Approximation; Bounded Variation; Continuous Piecewise Linear Basis Function; Piecewise Constant Basis Function; Compression; Denoising

Cite this paper

Yi, H. , Yu, T. , Chen, Z. and Zhu, J. 2014 Continuous Piecewise Linear Approximation of BV Function. Applied Mathematics, 5, 667-671. doi: 10.4236-am.2014.54063.





Autor: Hua Yi, Tao Yu, Zhiquan Chen, Jingwen Zhu

Fuente: http://www.scirp.org/



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