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Inverse problem based on the fast alternating direction method of multipliers algorithm in multiangle total internal reflection fluorescence microscopy

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Abstract

Multiangle total internal reflection fluorescence microscopy (TIRFM) has become one of the most important techniques for achieving axial superresolution. The key process in this technique is solving the inverse problem. This paper applies an improved alternating direction method of multipliers algorithm to solve the inverse problem and validates the accuracy of the algorithm by reconstructing simulated microtubule structures in multiangle TIRFM images. The reconstruction times for different algorithms and the convergence speeds of the improved and original algorithms are compared. Experimental results show that the improved algorithm can achieve an axial resolution of 40 nm, reduce the influence of the penalty parameter on convergence, and improve the convergence speed of the iterative process while ensuring image reconstruction quality. Based on the algorithm, a three-dimensional image with the depth information of microtubules and mitochondria is reconstructed.

© 2018 Optical Society of America

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