Algorithm for phase contrast X-ray tomography based on nonlinear phase retrieval

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Algorithm for phase contrast X-ray tomography based on nonlinear phase retrieval

A new algorithm for phase contrast X-ray tomography under holographic measurement was proposed in this paper. The main idea of the algorithm was to solve the nonlinear phase retrieval problem using the Newton iterative method. The linear equations for the Newton directions were proved to be ill-posed and the regularized solu- tions were obtained by the conjugate gradient method. Some numerical experiments with computer simulated data were presented. The efficiency, feasibility and the numerical stability of the algorithm were illustrated by the numerical experiments. Compared with the results produced by the linearized phase retrieval algorithm, we can see that the new algorithm is not limited to be only efficient for the data measured in the near-field of the Fresnel region and thus it has a broader validity range.

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作 者: NI Wen-lei ZHOU Tie  
作者单位:LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2008 29(1) 
分类号:O29 O434.19 
关键词:phase contrast tomography   holographic measurement   phase retrieval  
机标关键词:phase retrievalnumerical experimentsnew algorithmconjugate gradient methodretrieval algorithmnumerical stabilitylinear equationsiterative methodphase contrast 
基金项目:国家重点基础研究发展计划(973计划),国家自然科学基金,教育部科学技术研究项目,北京大学工程研究所科学基金,Science Foundation of Microsoft Research of Asia 
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