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一种新的频谱分析图像重建算法及模拟
引用本文:李春芳,是度芳,李云山. 一种新的频谱分析图像重建算法及模拟[J]. 光电工程, 2003, 30(1): 59-61
作者姓名:李春芳  是度芳  李云山
作者单位:1. 华中科技大学物理系,湖北,武汉,430074
2. 中国人民解放军通信指挥学院仿真中心,湖北,武汉,430010
基金项目:国家自然科学基金(69878007)资助项目
摘    要:这种频谱分析图像重建算法利用二维傅里叶级数的各正交基函数的投影向量,去逼近图像 函数的投影向量,利用优化准则,得到各正交基函数的权系数,再经过傅里叶反变换,即可重建出原始的图像函数。计算机模拟表明,该算法重建时间不足1秒,选择合适的近似级数,对复杂场的图像重建,也能使最大误差不超过5%,平均误差不超过1%。

关 键 词:频谱分析  图像重建  计算机模拟  傅里叶变换
文章编号:1003-501X(2003)01-0059-03
收稿时间:2001-12-03
修稿时间:2001-12-03

A New Image Reconstruction Algorithm for Spectral Analysis and Simulation
LI Chun-fang,SHI Du-fang,LI Yun-shan. A New Image Reconstruction Algorithm for Spectral Analysis and Simulation[J]. Opto-Electronic Engineering, 2003, 30(1): 59-61
Authors:LI Chun-fang  SHI Du-fang  LI Yun-shan
Affiliation:LI Chun-fang1,SHI Du-fang1,LI Yun-shan2
Abstract:The image reconstruction algorithm for spectral analysis approaches the projection vector of image function by means of the projection vectors for various orthogonal-based functions in 2-D Fourier series. The weighting coefficients of various orthogonal-based functions are obtained by using optimization rule. The original image function can be reconstructed through Fourier inversion. The computer simulation shows that the algorithm reconstruction time is less than 1 second. The maximum error less than 5% and average error less than 1% can be obtained through selecting suitable approximate series and image reconstruction for complex field.
Keywords:Frequency spectral analysis  Image reconstruction  Computer simulation  Fourier transform
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