A Novel Gridding Algorithm Using NUFFT with Applications to Ultrasound Diffraction Tomography

Dongwen Zhang, Jinxu Tao, Hairong Zheng
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引用次数: 8

Abstract

Ultrasound diffraction tomography based on Fourier scattering theorem of the lossless circumstance is studied. The relation between resolution and imaging quality is analyzed and a reconstruction algorithm in frequency domain is proposed to reduce storage and computation. Different from an iterative reconstruction method based on NUFFT, we put forward a novel algorithm of interpolation based NUFFT, which compute the equispaced results from the non-uniform samples of two nearest projection lines using linear angular interpolation. The simulation result indicates that the algorithm proposed in this paper is much better than filtered-backprojection algorithm. With the projection data increase, reconstruction will approximate to the optimal.
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基于NUFFT的新型网格算法及其在超声衍射层析成像中的应用
研究了无损情况下基于傅里叶散射定理的超声衍射层析成像。分析了分辨率与成像质量的关系,提出了一种频域重构算法,以减少存储和计算量。与基于NUFFT的迭代重建方法不同,本文提出了一种基于插值的NUFFT算法,该算法使用线性角插值方法对最近两条投影线的非均匀样本进行等价计算。仿真结果表明,本文提出的算法比滤波后的反投影算法效果好得多。随着投影数据的增加,重建将接近于最优。
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