22 May 2002 Reconstruction of x-ray penumbral images based on a heuristic method
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We propose a heuristic method for the reconstruction of x-ray penumbral images from a noisy coded source. The ill-posed noisy penumbral image reconstruction problem is modeled as an optimization problem where the reconstructed image can be obtained by minimizing the mean square error between the obtained penumbral image and the estimated penumbral image, and Laplacian values of the estimated image. The Laplacian operator is used here a smoothness constraint. Since with heuristic methods, complicated a priori constraints can be easily incorporated by the appropriate modification of the cost function, the proposed method is well suited to the solution of this ill-posed problem. The proposed method has also been applied to real laser-plasma experiments.
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Shinya Nozaki, Shinya Nozaki, Yen-Wei Chen, Yen-Wei Chen, Zensho Nakao, Zensho Nakao, Hiroyuki Shiraga, Hiroyuki Shiraga, } "Reconstruction of x-ray penumbral images based on a heuristic method", Proc. SPIE 4667, Image Processing: Algorithms and Systems, (22 May 2002); doi: 10.1117/12.467991; https://doi.org/10.1117/12.467991

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