Orthogonal Wavelet Transform with Compact Support Filter Design Method and an Algorithm of Image Perfect Decomposition and Reconstruction

WEI Hai-tao; ZHENG Nan-ning; ZHANG Zhi-hua

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Orthogonal Wavelet Transform with Compact Support Filter Design Method and an Algorithm of Image Perfect Decomposition and Reconstruction

更新时间：2025-07-16

- Orthogonal Wavelet Transform with Compact Support Filter Design Method and an Algorithm of Image Perfect Decomposition and Reconstruction
- Acta Electronica Sinica Vol. 28, Issue 10, Pages: 17-19(2000)
- 作者机构：
  
  西安交通大学人工智能与机器人研究所,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.73
- Published：2000
- 稿件说明：
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WEI Hai-tao, ZHENG Nan-ning, ZHANG Zhi-hua. Orthogonal Wavelet Transform with Compact Support Filter Design Method and an Algorithm of Image Perfect Decomposition and Reconstruction[J]. Acta Electronica Sinica, 2000, 28(10): 17-19.
DOI：

WEI Hai-tao, ZHENG Nan-ning, ZHANG Zhi-hua. Orthogonal Wavelet Transform with Compact Support Filter Design Method and an Algorithm of Image Perfect Decomposition and Reconstruction[J]. Acta Electronica Sinica, 2000, 28(10): 17-19. DOI：

摘要

本文通过从一个新的角度研究了Daubechies滤波器的设计原理

得到了具有紧支撑的正交小波变换滤波器设计的两个理论依据

由此构造了一种图像的精确分解与重构算法.该算法非常简单易行

并且与Daubechies滤波器的设计原理是一致的.实验结果表明本文提出的算法能达到无失真的重构.

Abstract

In this paper

a novel method to design the Daubechies filter is introduced.Based on this

an algorithm of the image perfect decomposition and reconstruction is proposed.In fact

for orthogonal wavelet transform

the padding approach to the boundary condition is periodic.The approach is derived from the design method of Daubechies filter.When the signal length is more than the length of the filter

the signal can be decomposed and reconstructed perfectly.

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