JOINT ESTIMATION OF OBJECT AND ABERRATIONS BY USING PHASE DIVERSITY
JOINT ESTIMATION OF OBJECT AND ABERRATIONS BY USING PHASE DIVERSITY
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DOI：
10.1364/josaa.9.001072
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发表时间：
1992-07-01
影响因子：
1.9
通讯作者：
FIENUP, JR
中科院分区：
文献类型：
--
作者：
PAXMAN, RG;SCHULZ, TJ;FIENUP, JR
研究了从包含相位分集的多幅图像中联合估计物体和非相干成像系统的像差的问题。考虑了加性高斯和泊松噪声模型下的最大似然估计。对于高斯噪声模型的情况，推导了容纳任意数目的分集图像的仅像差目标函数及其梯度的表达式。对于泊松噪声的情况，给出了对数似然函数及其梯度的表达式。构造了一种以自然方式实施非负性约束的期望最大化算法，用于泊松噪声情况。
The joint estimation of an object and the aberrations of an incoherent imaging system from multiple images incorporating phase diversity is investigated. Maximum-likelihood estimation is considered under additive Gaussian and Poisson noise models. Expressions for an aberration-only objective function that accommodates an arbitrary number of diversity images and its gradient are derived for the case of a Gaussian noise model. Expressions for the log-likelihood function and its gradient are presented for the case of Poisson noise. An expectation-maximization algorithm that enforces a nonnegativity constraint in a natural fashion is constructed for use in the Poisson noise case.