线性等式约束下的多帧盲反卷积
Multi-frame blind deconvolution with linear equality constraints
摘要：
相位发散散斑（PDS）问题在数学上表示为多帧盲解卷积（MFBD）以及波前扩展参数上的一组线性等式约束（LEC）。这种MFBD-LEC公式非常通用，除了PDS之外，它还允许同一代码处理指定为数据（LEC）而不是代码中的各种不同数据收集方案。它也减轻了我们从必须为每种类型的数据集的波前参数矢量的梯度导出新的表达式。这个想法首先提出了一个简单的配方，可容纳相位分集，相位分集散斑，和夏克哈特曼波前传感。然后讨论了各种泛化，允许处理许多其他类型的数据集。
英文摘要：
The Phase Diverse Speckle (PDS) problem is formulated mathematically as Multi Frame Blind Deconvolution (MFBD) together with a set of Linear Equality Constraints (LECs) on the wavefront expansion parameters. This MFBD-LEC formulation is quite general and, in addition to PDS, it allows the same code to handle a variety of different data collection schemes specified as data, the LECs, rather than in the code. It also relieves us from having to derive new expressions for the gradient of the wavefront parameter vector for each type of data set. The idea is first presented with a simple formulation that accommodates Phase Diversity, Phase Diverse Speckle, and Shack-Hartmann wavefront sensing. Then various generalizations are discussed, that allows many other types of data sets to be handled.
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