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Improved electrical capacitance tomography algorithm based on homotopy perturbation regularization
Electrical Capacitance Tomography (ECT) is one of typical tomography technologies based on capacitance-sensitive fields, which can reconstruct the...
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ECT for flow imaging: total least squares for image reconstruction algorithm
For the problem that noise has a great impact on the measurement data during the electrical capacitance tomography data acquisition process, a...
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GSISTA-Net: generalized structure ISTA networks for image compressed sensing based on optimized unrolling algorithm
Image compressed sensing technology, particularly algorithm unrolling networks, has garnered significant attention in the field of compressed sensing...
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A visually secure image encryption algorithm based on block compressive sensing and deep neural networks
A novel visually secure image encryption algorithm is proposed by combining compressive sensing and deep neural networks. To achieve a tradeoff...
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Integration of 2D iteration and a 3D CNN-based model for multi-type artifact suppression in C-arm cone-beam CT
Limiting the potential risks associated with radiation exposure is critically important when obtaining a diagnostic image. However, lowering the...
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Dual descent regularization algorithms in variable exponent Lebesgue spaces for imaging
We consider one-step iterative algorithms to solve ill-posed inverse problems in the framework of variable exponent Lebesgue spaces
L p (⋅) . These... -
Strict pseudocontractions and demicontractions, their properties, and applications
We give properties of strict pseudocontractions and demicontractions defined on a Hilbert space, which constitute wide classes of operators that...
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Multifocus image fusion using adaptive block compressive sensing by combining spatial frequency
Image fusion is an important branch of the image processing field that makes fuse different information of multiple optical sensors images from the...
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Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
This paper considers the inverse problem for identifying the initial value problem of a space-time fractional diffusion wave equation. In general,...
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A priority based genetic algorithm for limited view tomography
Computed tomography is a noninvasive method to know the internal structure of the objects. It has a wide range of applications, i.e. engineering and...
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A Direct Symbolic Algorithm for Solving Stochastic Rabin Games
We consider turn-based stochastic 2-player games on graphs with \(\omega \)... -
A new self-adaptive algorithm for solving the split common fixed point problem with multiple output sets in Hilbert spaces
We study the split common fixed point problem with multiple output sets in Hilbert spaces. In order to solve this problem, we propose a new algorithm...
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Sequential Subspace Optimization for Recovering Stored Energy Functions in Hyperelastic Materials from Time-Dependent Data
Monitoring structures of elastic materials for defect detection by means of ultrasound waves (Structural Health Monitoring, SHM) demands for an... -
Stochastic Gradient Descent for Linear Inverse Problems in Variable Exponent Lebesgue Spaces
We consider a stochastic gradient descent (SGD) algorithm for solving linear inverse problems (e.g., CT image reconstruction) in the Banach space... -
BEM-Fading regularization algorithm for Cauchy problems in 2D anisotropic heat conduction
We investigate the numerical reconstruction of the missing thermal boundary data on a part of the boundary for the steady-state heat conduction...
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Analytic time-of-flight positron emission tomography reconstruction: two-dimensional case
In a positron emission tomography (PET) scanner, the time-of-flight (TOF) information gives us rough event position along the line-of-response (LOR)....
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Polynomial Reproducing Kernel Based Image Reconstruction for ECT
Electrical capacitance tomography (ECT) is one of an electrical tomography technique, which is widely used in industrial process monitoring. It is... -
Convex Optimization with Inexact Gradients in Hilbert Space and Applications to Elliptic Inverse Problems
In this paper, we propose the gradient descent type methods to solve convex optimization problems in Hilbert space. We apply it to solve the... -
Solution of the Cauchy problem for the Brinkman equations using an alternating method of fundamental solutions
In this paper, we intend to formulate and solve Cauchy problems for the Brinkman equations governing the flow of fluids in porous media, which have...