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Implementation and Evaluation of a Penalized Alternating Minimization Algorithm for Computational DIC Microscopy

Implementation and Evaluation of a Penalized Alternating Min...

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Conference on Computational Imaging VIII

作者： Preza, Chrysanthe O'Sullivan, Joseph A. Univ Memphis Dept Elect & Comp Engn Memphis TN 38152 USA Washington Univ Dept Elect & Syst Engn St Louis MO 63130 USA

ISBN: (纸本)9780819479266

We present the implementation and evaluation of a penalized alternating minimization (AM) method(1) for the computation of a specimen's complex transmittance function (magnitude and phase) from images captured with Differential Interference Contrast (DIC) microscopy. The magnitude of the transmittance function is constrained to be less than 1. The penalty is on the roughness of the complex transmittance function. Without the penalty, we show via simulation that the difference between the true and estimated transmittance function takes values in the null space of the DIC point-spread function, thereby characterizing the ill-posed nature of this inverse problem. The penalty effectively attenuates larger spatial frequencies that are in this null space. The algorithm is implemented on yeast cell images after proper normalization of the measured data. Preliminary results are promising.

关键词： alternating minimization algorithm complex function estimation regularization penalties phase estimation computational DIC (Nomarski) microscopy

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Quantitative Phase and Amplitude Imaging Using Differential-Interference Contrast (DIC) Microscopy

Quantitative Phase and Amplitude Imaging Using Differential-...

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Conference on Computational Imaging VII

作者： Preza, Chrysanthe O'Sullivan, Joseph A. Univ Memphis Dept Elect & Comp Engn Memphis TN 38152 USA Washington Univ Dept Elect & Syst Engn St Louis MO 63130 USA

ISBN: (纸本)9780819474964

We present an extension of the development of an alternating minimization (AM) method(1) for the computation of a specimen's complex transmittance function (magnitude and phase) from DIC images. The ability to extract both quantitative phase and amplitude information from two rotationally-diverse DIC images (i.e., acquired by rotating the sample) extends previous efforts in computational DIC microscopy that have focused on quantitative phase imaging only. Simulation results show that the inverse problem at hand is sensitive to noise as well as to the choice of the AM algorithm parameters. The AM framework allows constraints and penalties on the magnitude and phase estimates to be incorporated in a principled manner. Towards this end, Green and De Pierro's "log-cosh" regularization penalty is applied to the magnitude of differences of neighboring values of the complex-valued function of the specimen during the AM iterations. The penalty is shown to be convex in the complex space. A procedure to approximate the penalty within the iterations is presented. In addition, a methodology to pre-compute AM parameters that are optimal with respect to the convergence rate of the AM algorithm is also presented. Both extensions of the AM method are investigated with simulations.

关键词： alternating minimization algorithm complex function estimation regularization penalties phase estimation computational DIC (Nomarski) microscopy

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Alternating minimization algorithm for quantitative differential-interference contrast (DIC) microscopy

Alternating minimization algorithm for quantitative differen...

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Conference on Computational Imaging VI

作者： O'Sullivan, Joseph A. Preza, Chrysanthe Washington Univ Dept Elect & Syst Engn St Louis MO 63130 USA Univ Memphis Dept Elect & Comp Engn Memphis TN 38152 USA

ISBN: (纸本)9780819469861

A new iterative algorithm for quantitative image reconstruction for differential-interference contrast (DIC) microscopy is presented, along with simulations demonstrating key properties of the algorithm. The algorithm is an alternating minimization (AM) algorithm based on a diffraction imaging model for DIC images. The algorithm computes a specimen's complex transmittance function (magnitude and phase) from the DIC images. This new method extends the rotational diversity (RD) method developed by Preza that is based on the assumption that the specimen does not absorb light (or that its magnitude is constant and can be ignored) and thus only the specimen's phase function is computed from rotationally-diverse DIC images. The AM approach lifts the optimization problem to a higher dimensional space that is intimately tied to the underlying physics. The variables that are introduced in this lifting process are the unknown, immeasurable phases on the data. The AM algorithm iterates between estimating the image given the phase of the data and estimating the phase given the image. The framework allows constraints and penalties on the magnitude and phase estimates to be incorporated in a principled manner. The performance of the AM method is evaluated using simulated noiseless data. Simulation results compare specimen magnitude (absorption) and phase estimated with the AM method to the true specimen parameters showing good quantitative agreement using the mean square error and difference images. The estimated phase is a significant improvement over the phase estimated with the RD method from the same DIC images as shown in a comparison between the two methods. The AM method provides a novel approach in extracting quantitative phase and amplitude information of the same field of view from a single microscope mode.

关键词： alternating minimization algorithm complex function estimation phase estimation computational DIC (Nomarski) microscopy

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Quantitative determination of specimen properties using computational differential-interference contrast (DIC) microscopy

Quantitative determination of specimen properties using comp...

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Conference on Confocal, Multiphoton and Nonlinear Microscopic Imaging III

作者： Preza, Chrysanthe O'Sullivan, Joseph A. Univ Memphis Dept Elect & Comp Engn Memphis TN 38152 USA Washington Univ Dept Elect & Syst Engn St Louis MO 63130 USA

ISBN: (纸本)9780819467744

The theoretical development of a new iterative method based on a diffraction imaging model for the computation of a specimen's complex transmittance function (magnitude avid phase) from DIC images is presented. This new method extends our initial work (RD method presented by Preza(1)) which was based on the assumption that the specimen does not absorb light and thus only the specimen's phase function or optical path length (OPL) distribution was computed from rotationally-diverse (RD) DIC images. In this paper;we quantify this approximation by modeling the magnitude of the synthetic object as a deviation from unity by a small perturbation. Synthetic, noiseless DIC data are generated from these test objects and processed with the RD method. Our results show that although for weakly absorbing objects the RD method may be adequate for some applications, in general the results can be quantitatively unacceptable. This supports the development of the new alternating minimization method presented in this paper. Preliminary results from the current implementation of the AM method show that the discrepancy measure utilized in the method goes to zero as iterations increase but a constrain on the estimated magnitude is necessary in order to obtain quantitative specimen properties.

关键词： DIC (Nomarski) microscopy phase estimation complex function estimation alternating minimization algorithm

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