NI Wen-lei, ZHOU Tie. An Algorithm for Phase Contrast X-ray Tomography Based on the Nonlinear Phase Retrieval[J]. Applied Mathematics and Mechanics, 2008, 29(1): 93-103.
 Citation: NI Wen-lei, ZHOU Tie. An Algorithm for Phase Contrast X-ray Tomography Based on the Nonlinear Phase Retrieval[J]. Applied Mathematics and Mechanics, 2008, 29(1): 93-103.

# An Algorithm for Phase Contrast X-ray Tomography Based on the Nonlinear Phase Retrieval

• Rev Recd Date: 2007-12-17
• Publish Date: 2008-01-15
• A new algorithm for phase contrast X-ray tomography under holographic measurement was proposed. 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 beill-posed and the regularized solutions 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, it can be seen that the new algorithm is not limited to be only efficient for the data measured in the nea-rfield of the Fresnel region and thus it has a broader validity range.
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