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首页> 外文期刊>Journal of the Optical Society of America, A. Optics, image science, and vision >Convex projections algorithm for restoration of limited-angle chromotomographic images
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Convex projections algorithm for restoration of limited-angle chromotomographic images

机译:凸投影算法用于有限角度色谱图像的恢复

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摘要

We present a new algorithm for image restoration in limited-angle ehromotomography. The algorithm is a generalization of the technique considered previously by the authors, based on a hybrid of a direct method of inversion and the iterative method of projections onto convex sets. The generalization is achieved by introducing a new object domain constraint. This constraint takes advantage of hyperspectral data redundancy and is realized by truncating the singular-value decomposition of the spatial-chromatic image matrix. As previously, the transform domain constraint is defined in terms of nonzero singualar values of the system transfer function matrix. The new algorithm delivers high image fidelity, converges rapidly, and is easy to implement. Results of experiments on real data are included.
机译:我们提出了一种新的算法,用于在有限角度放射线断层摄影术中进行图像恢复。该算法是作者先前考虑的技术的概括,它是基于直接反演方法和投影到凸集的迭代方法的混合体。通过引入新的对象域约束来实现概括。该约束利用了高光谱数据冗余,并通过截断空间彩色图像矩阵的奇异值分解来实现。如前所述,变换域约束是根据系统传递函数矩阵的非零奇异值定义的。新算法提供了高图像保真度,快速收敛并且易于实现。包括对真实数据的实验结果。

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