基于小波的光学层析成像多网格重构算法

Wei Zhu, Yao Wang, Yuqi Yao, R. Barbour
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引用次数: 3

摘要

本文提出了一种基于小波的多重网格方法来解决光学层析成像中遇到的扰动问题。将基于小波的多网格表示应用于正则化最小二乘(RLS)和总最小二乘(TLS)求解。未知图像、数据以及权重矩阵都用小波展开表示,从而得到扰动的多分辨率表示。然后,使用多网格方案,通过RLS或TLS方法求解变换后的扰动,通过该方案,在逐次逼近中求解未知图像的小波系数的增加部分。实验结果表明,与单网格算法相比,多网格方法可以在较短的时间内获得相似的重建质量。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Wavelet Based Multigrid Reconstruction Algorithm for Optical Tomography
In this paper, we present a wavelet based multigrid approach to solve the perturbation encountered in optical tomography. The wavelet based multigrid representation has been applied to obtain regularized least squares (RLS) and total least squares (TLS) solutions. The unknown image, the data, as well as the weight matrix are all represented by wavelet expansions, thus yielding a multi-resolution representation of the perturbation Then, the transformed perturbation is solved by either the RLS or TLS method, using a multigrid scheme, by which an increasing portion of wavelet coefficients of the unknown image are solved in successive approximations. The experimental results show that the multigrid method can achieve similar reconstruction quality with a significantly reduced amount of time than the one-grid algorithm.
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