A Fast Iterative Shrinkage-Thresholding Algorithm for Electrical Resistance Tomography
نویسندگان
چکیده
Image reconstruction in Electrical Resistance Tomography (ERT) is an ill-posed nonlinear inverse problem. Considering the influence of the sparse measurement data on the quality of the reconstructed image, the l1 regularized least-squares program (l1 regularized LSP), which can be cast as a second order cone programming problem, is introduced to solve the inverse problem in this paper. A normally used method of implementing the l1 regularized LSP is based on the interior point method whose main drawback is the relatively slow convergence speed. To meet the need of high speed in ERT, the fast iterative shrinkage-thresholding algorithm (FISTA) is employed for image reconstruction in our work. Simulation results of the FISTA and l1_ls algorithm show that the l1 regularized LSP is superior to the l2 regularization method, especially in avoiding the over-smoothing of the reconstructed image. In addition, to improve the convergence speed and imaging quality in FISTA algorithm, the initial guess is calculated with the conjugate gradient method. Comparative simulation results demonstrate the feasibility of FISTA in ERT system and its advantage over the l1_ls regularization method. Key-Words:electrical resistance tomography; l1 regularization method; interior-point method; iterative shrinkagethresholding algorithm; linear inverse problem
منابع مشابه
A Fast Iterative Shrinkage-thresholding Algorithm with Applcation to Wavelet-based Image Deblurring
We consider the class of Iterative Shrinkage-Thresholding Algorithms (ISTA) for solving linear inverse problems arising in signal/image processing. This class of methods is attractive due to its simplicity, however, they are also known to converge quite slowly. In this paper we present a Fast Iterative Shrinkage-Thresholding Algorithm (FISTA) which preserves the computational simplicity of ISTA...
متن کاملA Note on the Complexity Analysis of Fast Iterative Shrinkage-thresholding Algorithm
The fast iterative shrinkage-thresholding algorithm (FISTA) which was proposed by Beck and Teboulle in 2009, is a benchmark for minimization the sum of two convex functions such that one is differentiable with Lipschitz gradient. They proved the sequence generated by FISTA for which the the objective is controlled, have a complexity rate which is the optimal complexity rate for first-order algo...
متن کاملA Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
We consider the class of iterative shrinkage-thresholding algorithms (ISTA) for solving linear inverse problems arising in signal/image processing. This class of methods, which can be viewed as an extension of the classical gradient algorithm, is attractive due to its simplicity and thus is adequate for solving large-scale problems even with dense matrix data. However, such methods are also kno...
متن کاملAccelerated fast iterative shrinkage thresholding algorithms for sparsity-regularized cone-beam CT image reconstruction.
PURPOSE The development of iterative image reconstruction algorithms for cone-beam computed tomography (CBCT) remains an active and important research area. Even with hardware acceleration, the overwhelming majority of the available 3D iterative algorithms that implement nonsmooth regularizers remain computationally burdensome and have not been translated for routine use in time-sensitive appli...
متن کاملOn analysis-based two-step interpolation methods for randomly sampled seismic data
Interpolating the missing traces of regularly or irregularly sampled seismic record is an exceedingly important issue in the geophysical community. Many modern acquisition and reconstruction methods are designed to exploit the transform domain sparsity of the few randomly recorded but informative seismic data using thresholding techniques. In this paper, to regularize randomly sampled seismic d...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011