Wavelet Threshold De-Noising Based on Improved Hyperbola Thresholding Function

王浩全; 王军; 金相男

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Wavelet Threshold De-Noising Based on Improved Hyperbola Thresholding Function

更新时间：2026-09-14

- Wavelet Threshold De-Noising Based on Improved Hyperbola Thresholding Function
- 基于双曲线阈值函数的小波阈值降噪方法
- Vol. 31, Issue 6, Pages: 625-630(2010)
- 作者机构：
  
  1. 中北大学仪器科学与动态测试教育部重点实验室
  2. 中国空空导弹研究院
- 作者简介：
- 基金信息：
- DOI：
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- Published：2010
- 稿件说明：
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王浩全, 王军, 金相男. Wavelet Threshold De-Noising Based on Improved Hyperbola Thresholding Function[J]. 2010, 31(6): 625-630.
DOI：

王浩全, 王军, 金相男. Wavelet Threshold De-Noising Based on Improved Hyperbola Thresholding Function[J]. 2010, 31(6): 625-630. DOI：

摘要

在分析小波阈值降噪原理的基础上

为了克服硬阈值函数不连续和软阈值函数中估计小波系数与分解小波系数之间存在恒定偏差的问题

构造了一种改进的双曲线阈值函数.该方法通过调整参数可实现阈值函数形状的改变

采用对非重要小波系数的处理

不是均设为0

系数由多项式调节以接近理想小波系数

使得该阈值函数既具有软阈值函数连续、高阶可导的优点

又便于进行各种数学处理.经实验验证

这种方法不仅可以有效地去除噪声

而且还可以保留图像的细节信息

比传统阈值方法更接近最佳情况.

Abstract

Based on analyzing the principle of wavelet threshold de-nosing

a hyperbola thresholding function is presented in order to overcome the discontinuance of the hard thresholding function and the constant deviation between the estimated wavelet coefficients and the decomposition wavelet coefficients in the soft thresholding function.The shape of new thresholding function can be changed visually by adjusting the parameters of hyperbola.The algorithm is improved by a non-important wavelet coefficient which is not supposed as zero but adjusted to approach its ideal wavelet coefficient by polynomial.The new thresholding function is simple in expression as continuous as the soft thresholding function and has a high order derivative which makes some kinds of mathematical disposals conveniently.At the same time

the new threshold function is more elastic than the soft-threshold and the hard-threshold functions.The simulation results show that the method can remove noise effectively

retain detail information of images

and can be closer than the traditional threshold method to the best situation.

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references

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