Optical Implementation Method of Mallat Algorithm

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Optical Implementation Method of Mallat Algorithm

Article | 更新时间：2020-08-12

- Optical Implementation Method of Mallat Algorithm
- Optics and Precision Engineering Vol. 16, Issue 8, Pages: 1490-1499(2008)
- 作者机构：
  
  重庆大学通信工程学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Received：06 December 2007，
  
  Revised：03 February 2008，
  
  Published Online：25 August 2008，
  
  Published：25 August 2008
- 稿件说明：
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韩亮,田逢春,徐鑫,李立. Mallat算法的光学实现方法[J]. 光学精密工程, 2008,16(8):1490-1499

Optical Implementation Method of Mallat Algorithm[J]. Optics and precision engineering, 2008, 16(8): 1490-1499.
韩亮,田逢春,徐鑫,李立. Mallat算法的光学实现方法[J]. 光学精密工程, 2008,16(8):1490-1499 DOI：

Optical Implementation Method of Mallat Algorithm[J]. Optics and precision engineering, 2008, 16(8): 1490-1499. DOI：

摘要

现有的光学小波变换方法均基于连续小波变换，基于离散信号的小波变换算法（Mallat算法）的光学小波变换还没有出现，这阻碍了光学小波变换应用的发展。针对这一问题，分析利用光学4f系统实现Mallat算法的基本原理，提出Mallat算法的光学实现方法。针对空间光调制器只能实现非负的实函数，且CCD只能记录光的强度，给出一种应用于光学4f系统的光学小波滤波器的设计方法。使用该种光学小波滤波器，利用光学4f系统实现Mallat算法的小波分解部分，并通过数值计算实现Mallat算法的小波重构部分。仿真分析和光学实验结果验证了方法的正确性。

Abstract

For the existing optical wavelet transform were implemented all based on continuous wavelet transform

rather than discrete wavelet transform，its applicability was restricted . To solve this problem

the principle of the optical implementation method of discrete wavelet transform algorithm (Mallat algorithm) utilizing optical 4f system was analyzed

and its optical implementation method was proposed. For SLM(Spatial Light Modulator) can only implement nonnegative real function and CCD can only record light intensity

one design method of optical wavelet filters which were applied to optical 4f system was given. With this kind of optical wavelet filter

the wavelet decomposition in Mallat algorithm was implemented utilizing optical 4f system

and the wavelet reconstruction in Mallat algorithm was implemented by use of numerical computation. Experimental results verify the methods.

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Related Institution

University of Chinese Academy of Sciences, Beijing 100049, China

Changchun Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Changchun 130033, China

Changchun Satellite Technology Co. LTD, Changchun 130031, China

University of Chinese Academy of Sciences

Changchun Institute of Optics and Fine Mechanics, Chinese Academy of Sciences

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