基于整体最小二乘法的高分辨率图像重建算法

计算机工程与应用 ›› 2007, Vol. 43 ›› Issue (36): 200-201.

基于整体最小二乘法的高分辨率图像重建算法

解凯¹,吕妍昱²

1.北京印刷学院信息与机电工程学院，北京 102600
2.北京印刷学院教学技术与计算中心，北京 102600

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-12-21 发布日期:2007-12-21
通讯作者: 解凯

Total least squares based high-resolution image reconstruction algorithm

XIE Kai¹,LV Yan-yu²

1.School of Information and Mechanical Electronic Engineering，Beijing Institute of Graphic Commnunication，Beijing 102600，China
2.Teaching Technology & Internet Center，Beijing Institute of Graphic Communication，Beijing 102600，China

Received:1900-01-01 Revised:1900-01-01 Online:2007-12-21 Published:2007-12-21
Contact: XIE Kai

摘要/Abstract

摘要： 提出一种用于高分辨率图像重建的整体最小二乘算法。在现有多数重建算法中，假设系统矩阵是精确的而误差主要源于采样图像，但实际上抖动误差也出现在系统矩阵中。该方法能同时最小化这两种误差，采用基于正则化的Rayleigh商来光滑解，用共轭梯度算法来迭代求解该正则化Rayleigh商的最小化函数。实验证明该方法对于抖动系统矩阵是稳定和精确的。

关键词: Rayleigh商, 整体最小二乘法, 高分辨率图像

Abstract: The paper presents a High-Resolution（HR） image reconstruction algorithm based on total least squares approach.Many HR algorithms assume that system matrix is accurate and errors are from the sampled Low-Resolution（LR） images.In practice，errors also occur in the system matrix.The paper proposes the TLS approach that minimizes the two kinds of errors.A Rayleigh Quotient（RQ） formulation based on regularization is used to enforce a smooth solution.Then a conjugate gradient algorithm is used to minimize the modified RQ function.Experiment results show that the method is stable and accurate for the perturbation system matrix.

Key words: Rayleigh quotient, total least squares, high-resolution image

解凯¹,吕妍昱². 基于整体最小二乘法的高分辨率图像重建算法[J]. 计算机工程与应用, 2007, 43(36): 200-201.

XIE Kai¹,LV Yan-yu². Total least squares based high-resolution image reconstruction algorithm[J]. Computer Engineering and Applications, 2007, 43(36): 200-201.