基于约束优化的闪光照相图像重建算法 |
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引用本文: | 景越峰,管永红,张小琳. 基于约束优化的闪光照相图像重建算法[J]. 强激光与粒子束, 2016, 28(9): 094002. DOI: 10.11884/HPLPB201628.150498 |
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作者姓名: | 景越峰 管永红 张小琳 |
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作者单位: | 1.中国工程物理研究院 流体物理研究所, 四川 绵阳 621 900 |
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摘 要: | 针对闪光照相图像受模糊及噪声影响的问题,提出了一种基于约束优化的闪光照相图像重建算法。该算法建立基于平行束投影的正向成像矩阵,并通过嵌入模糊矩阵表达成像过程中的模糊因素,采用最速下降法求解重建问题。在算法中设计了预优矩阵以提高迭代重建速度,利用客体密度值非负、密度分布分段光滑并含有阶跃性边界的先验知识,设计和采用了非负约束、光滑约束及广义变分边界约束条件。对仿真FTO客体图像及实际闪光照相图像的重建结果表明,基于约束优化的重建算法具有良好的边界保持能力及噪声抑制能力,可以有效提高图像重建质量。
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关 键 词: | 图像重建 闪光照相 广义变分 约束优化 |
收稿时间: | 2015-12-10 |
Constrained optimization reconstruction for flash radiographic image |
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Affiliation: | 1.Institute of Fluid Physics,CAEP,P.O.Box 919-105,Mianyang 621900,China |
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Abstract: | Blurring and noise are serious problems in hydro-test with high-energy X-ray radiography and make it difficult to reconstruct density distributions from radiographic images. A constrained optimization reconstruction method to decrease the blurring and noise impact is proposed. In this method, the parallel-beam X-ray projections are modeled by inserting a blurring matrix in. The optimization reconstruction problem is minimized by steepest descent method, and a preconditioned matrix has been adopted to improve the reconstruction efficiency. We focus on the topographic reconstruction of piecewise smooth objects involving sharp edges, so the algorithm is based on generalized-variation-minimization constraints, piecewise constraints and the non-negative density values constraints. We applied the reconstruction algorithm to reconstruct computer-synthesized images of the French Test Object (FTO) and a hydro-test object image. The results show that our method is beneficial to improve the quality of reconstructed image with better performance of noise smoothing and better edge preserving as well. |
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