Valenzuela John R, Fessler Jeffrey A, Paxman Richard G
University of Michigan, 1301 Beal Avenue, Ann Arbor, Michigan 48109-2122, USA.
J Opt Soc Am A Opt Image Sci Vis. 2010 May 1;27(5):1185-93. doi: 10.1364/JOSAA.27.001185.
The technique of phase diversity has been used in traditional incoherent imaging systems to jointly estimate an object and optical system aberrations. This paper extends the technique of phase diversity to polarimetric imaging systems. Specifically, we describe penalized-likelihood methods for jointly estimating Stokes images and optical system aberrations from measurements that contain phase diversity. Jointly estimating Stokes images and optical system aberrations involves a large parameter space. A closed-form expression for the estimate of the Stokes images in terms of the aberration parameters is derived and used in a formulation that reduces the dimensionality of the search space to the number of aberration parameters only. We compare the performance of the joint estimator under both quadratic and edge-preserving regularization; we also compare the performance of the reduced parameter search strategy to the full parameter search strategy under quadratic regularization. The joint estimator with edge-preserving regularization yields higher fidelity polarization estimates than with quadratic regularization. With the reduced parameter search strategy, accurate aberration estimates can be obtained without recourse to regularization "tuning."
相位分集技术已被用于传统的非相干成像系统中，以联合估计物体和光学系统像差。本文将相位分集技术扩展到偏振成像系统。具体而言，我们描述了用于从包含相位分集的测量中联合估计斯托克斯图像和光学系统像差的惩罚似然方法。联合估计斯托克斯图像和光学系统像差涉及一个大的参数空间。推导了根据像差参数估计斯托克斯图像的闭式表达式，并将其用于一种将搜索空间维度仅降低到像差参数数量的公式中。我们比较了二次正则化和保边正则化下联合估计器的性能；我们还比较了二次正则化下简化参数搜索策略与全参数搜索策略的性能。与二次正则化相比，具有保边正则化的联合估计器能产生更高保真度的偏振估计。采用简化参数搜索策略，可以在不进行正则化“调整”的情况下获得准确的像差估计。
