Results 21 to 30 of about 3,427 (187)
An Adaptive Image Denoising Model Based on Tikhonov and TV Regularizations
Advances in Multimedia, 2014 To avoid the staircase artifacts, an adaptive image denoising model is proposed by the weighted combination of Tikhonov regularization and total variation regularization.
Kui Liu, Jieqing Tan, Benyue Su
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Intelligent Particle Swarm Optimization Method for Parameter Selecting in Regularization Method for Integral Equation [PDF]
BIO Web of ConferencesWe use the Tikhonov method as a regularization technique for solving the integral equation of the first kind with noisy and noise-free data. Following that, we go over how to choose the Tikhonov regularization parameter by implementing the Intelligent ...
Al-Mahdawi H.K. +5 more
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International Journal of Mathematics and Mathematical Sciences, 2020 In this work, a new robust regularized shrinkage regression method is proposed to recover and align high-dimensional images via affine transformation and Tikhonov regularization. To be more resilient with occlusions and illuminations, outliers, and heavy
Habte Tadesse Likassa +2 more
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An Exponential Filtering Based Inversion Method for Microwave Imaging [PDF]
Radioengineering, 2021 In this paper, a new methodology based on the exponential filtering of singular values is adopted to solve the linear ill-posed problem of microwave imaging.
A. Magdum +2 more
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Ozone profile smoothness as a priori information in the inversion of limb measurements [PDF]
Annales Geophysicae, 2004 In this work we discuss inclusion of a priori information about the smoothness of atmospheric profiles in inversion algorithms. The smoothness requirement can be formulated in the form of Tikhonov-type regularization, where the smoothness of ...
V. F. Sofieva +4 more
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A modified Tikhonov regularization for unknown source in space fractional diffusion equation
Open Mathematics, 2022 In this article, we consider the identification of an unknown steady source in a class of fractional diffusion equations. A modified Tikhonov regularization method based on Hermite expansion is presented to deal with the ill-posedness of the problem.
Yu Kai, Gong Benxue, Zhao Zhenyu
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DIAS: A Data-Informed Active Subspace Regularization Framework for Inverse Problems
Computation, 2022 This paper presents a regularization framework that aims to improve the fidelity of Tikhonov inverse solutions. At the heart of the framework is the data-informed regularization idea that only data-uninformed parameters need to be regularized, while the ...
Hai Nguyen +2 more
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Journal of Imaging, 2021 This paper is concerned with the reconstruction of relaxation time distributions in Nuclear Magnetic Resonance (NMR) relaxometry. This is a large-scale and ill-posed inverse problem with many potential applications in biology, medicine, chemistry, and ...
Germana Landi +2 more
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Reconstruction of Mercury's internal magnetic field beyond the octupole [PDF]
Annales Geophysicae, 2022 The reconstruction of Mercury's internal magnetic field enables us to take a look into the inner heart of Mercury. In view of the BepiColombo mission, Mercury's magnetosphere is simulated using a hybrid plasma code, and the multipoles of the internal ...
S. Toepfer +10 more
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Near-Optimal Parameters for Tikhonov and Other Regularization Methods [PDF]
SIAM Journal on Scientific Computing, 2001 For overdetermined discrete ill-posed linear problems having coefficient matrix with full rank for which the discrete Picard condition is satisfied a heuristic for choosing the regularization parameter in Tikhonov regularization and Lavrentiev's simplified Tikhonov regularization is proposed.
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