학술논문

Distributed Optimization for Nonrigid Nano-Tomography
Document Type
Periodical
Source
IEEE Transactions on Computational Imaging IEEE Trans. Comput. Imaging Computational Imaging, IEEE Transactions on. 7:272-287 2021
Subject
Signal Processing and Analysis
Computing and Processing
General Topics for Engineers
Geoscience
Strain
Image reconstruction
Estimation
Tomography
Optical imaging
Adaptive optics
Optimization
Tomographic reconstruction
ADMM
nonrigid alignment
deformation estimation
optical flow
Language
ISSN
2573-0436
2333-9403
2334-0118
Abstract
Resolution level and reconstruction quality in nano-computed tomography (nano-CT) are in part limited by the stability of microscopes, because the magnitude of mechanical vibrations during scanning becomes comparable to the imaging resolution, and the ability of the samples to resist radiation induced deformations during data acquisition. In such cases, there is no incentive in recovering the sample state at different time steps like in time-resolved reconstruction methods, but instead the goal is to retrieve a single reconstruction at the highest possible spatial resolution and without any imaging artifacts. Here we propose a distributed optimization solver for tomographic imaging of samples at the nanoscale. Our approach solves the tomography problem jointly with projection data alignment, nonrigid sample deformation correction, and regularization. Projection data consistency is regulated by dense optical flow estimated by Farneback's algorithm, leading to sharp sample reconstructions with less artifacts. Synthetic data tests show robustness of the method to Poisson and low-frequency background noise. We accelerated the solver on multi-GPU systems and validated the method on three nano-imaging experimental data sets.