用DCT进行最小二乘相位估值的求解

向茂生; 李树楷

doi:10.11834/jig.19980482

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用DCT进行最小二乘相位估值的求解
DCT Based Algorithm for Least Squares Phase Estimation
1998年3卷第4期页码：269
纸质出版：1998
DOI： 10.11834/jig.19980482
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向茂生, 李树楷. 用DCT进行最小二乘相位估值的求解[J]. 中国图象图形学报, 1998,3(4):269. DOI： 10.11834/jig.19980482.

DCT Based Algorithm for Least Squares Phase Estimation[J]. Journal of Image and Graphics, 1998, 3(4): 269. DOI： 10.11834/jig.19980482.

摘要

已知相位差进行相位估值，在干涉雷达，自适应光学，补偿式成像，图象处理等方面起着关键作用。文中以２－范数的概念，推证了最小二乘相位估值问题可以转化成泊松方程，并用离散余弦变换（DCT）的方法进行求解，效果很好。

Abstract

The estimation of phases from measurements of phase differences plays an important role in radar interferometry

adaptive optics

compensated imaging and image processing. The derivation of Possion's equation from the least squares estimation with the concept of the 2 norm is presented in this paper. It has been shown that the equation can be solved by use of the cosine transforms.