Continuous Piecewise Linear Approximation of BV Function

• 作者: Hua Yi Jingwen Zhu Tao Yu Zhiquan Chen
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Nonlinear Approximation BOUNDED Variation CONTINUOUS PIECEWISE Linear BASIS FUNCTION PIECEWISE Constant BASIS FUNCTION Compression DENOISING
• 年，卷（期）: 2014,（4）
• 页码范围: 667-671
• 页数: 5页
• 分类号: O1

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.