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The entropy weighted non-uniform scanning algorithm for diffraction tomography

基于熵加权的超声层析非均匀扫描算法

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Abstract

This paper studies diffraction tomography based on Fourier diffraction projection theorem. By the observation of frequency domain projecting image, one can find that projection in frequency domain is not uniformly distributed when the spatial domain scanning angle is equispaced. This results in loss of information. We analyze the conditions under which the information lost most. Then, we define the information entropy of each scanning and propose a non-uniform scanning algorithm to maximize the amount of information under conditions of a fixed number of sampling points and scanning angles. The algorithm has five different kinds of the weighting vectors based on different weighting programs. The simulation result supports our hypotheses and indicates that the algorithm proposed in this paper can obviously improve the reconstruction quality.

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Correspondence to JinXu Tao.

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Sun, Y., Tao, J., Chen, H. et al. The entropy weighted non-uniform scanning algorithm for diffraction tomography. Sci. China Inf. Sci. 58, 1–13 (2015). https://doi.org/10.1007/s11432-014-5235-0

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  • DOI: https://doi.org/10.1007/s11432-014-5235-0

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