Results 41 to 50 of about 11,051,325 (215)

Numerical Methods for Ill-Posed, Linear Problems [PDF]

, 1975
A means of assessing the effectiveness of methods used in the numerical solution of various linear ill-posed problems is outlined. Two methods: Tikhonov' s method of regularization and the quasireversibility method of Lattès and Lions are appraised from ...
Stevens, Thomas
core   +1 more source

A Multipath Error Reduction Method for BDS Using Tikhonov Regularization with Parameter Optimization

Remote Sensing, 2023
Multipath error is an important factor restricting the relative positioning accuracy of the Beidou Navigation Satellite System (BDS). Because of the complexity of the reflection environment, the mathematical modeling of multipath errors is quite ...
Xinzhong Li, Yongliang Xiong, Shaoguang Xu, Weiwei Chen, Ban Zhao, Rui Zhang   +5 more
doaj   +1 more source

Node-Adaptive Regularization for Graph Signal Reconstruction

IEEE Open Journal of Signal Processing, 2021
A critical task in graph signal processing is to estimate the true signal from noisy observations over a subset of nodes, also known as the reconstruction problem.
Maosheng Yang, Mario Coutino, Geert Leus, Elvin Isufi   +3 more
doaj   +1 more source

Iterated fractional Tikhonov regularization [PDF]

, 2015
Fractional Tikhonov regularization methods have been recently proposed to reduce the oversmoothing property of the Tikhonov regularization in standard form, in order to preserve the details of the approximated solution.
Buccini A., Bianchi D., DONATELLI, MARCO, Marco Donatelli, Stefano Serra‐Capizzano, Alessandro Buccini, Donatelli M., Davide Bianchi, Serra-Capizzano, Stefano,, SERRA CAPIZZANO, STEFANO, Buccini, Alessandro, Bianchi, Davide, Serra-Capizzano S.   +12 more
core   +1 more source

A stabilized algorithm for multi-dimensional numerical differentiation

Journal of Algorithms & Computational Technology, 2016
We develop a multi-dimensional numerical differentiation method in this paper. To obtain stable numerical derivatives, the Tikhonov regularization method in Hilbert scales is proposed to deal with illposedness of the problem. The penalty term in Tikhonov
Zhenyu Zhao, Zehong Meng, Liang Zhao, Lei You, Ou Xie   +4 more
doaj   +1 more source

Considering New Regularization Parameter-Choice Techniques for the Tikhonov Method to Improve the Accuracy of Electrocardiographic Imaging

Frontiers in Physiology, 2019
The electrocardiographic imaging (ECGI) inverse problem highly relies on adding constraints, a process called regularization, as the problem is ill-posed.
Judit Chamorro-Servent, Judit Chamorro-Servent, Judit Chamorro-Servent, Judit Chamorro-Servent, Rémi Dubois, Rémi Dubois, Rémi Dubois, Yves Coudière, Yves Coudière, Yves Coudière   +9 more
doaj   +1 more source

A Quantitative Microwave Imaging Approach for Brain Stroke Classification Based on the Generalized Tikhonov Regularization

IEEE Access, 2023
Early diagnosis of stroke type by imaging is one of the most important tasks for stroke patients. In this article, we propose a new approach to reconstruct the brain image with high accuracy and quality.
Sayyed Saleh Sayyed Mousavi, Mohammad Saeed Majedi   +1 more
doaj   +1 more source

Discrepancy Sets for Combined Least Squares Projection and Tikhonov Regularization

Mathematical Modelling and Analysis, 2017
To solve a linear ill-posed problem, a combination of the finite dimensional least squares projection method and the Tikhonov regularization is considered. The dimension of the projection is treated as the second parameter of regularization.
Teresa Reginska
doaj   +1 more source

Spatially Adaptive Tensor Total Variation-Tikhonov Model for Depth Image Super Resolution

IEEE Access, 2017
Depth images play an important role in 3-D applications. However, due to the limitation of depth acquisition equipment, the acquired depth images are usually in limited resolution. In this paper, a spatially adaptive tensor total variation-Tikhonov model
Gang Zhong, Sen Xiang, Peng Zhou, Li Yu
doaj   +1 more source

A Combined Regularization Method Using Prior Structural Information for Sound-Speed Image Reconstruction of Ultrasound Computed Tomography

IEEE Access, 2020
Ultrasound computed tomography (USCT) is a promising technique for breast imaging. It provides three modalities: echo image, sound speed image (SSI), and attenuation image.
Zisheng Yao, Shangchun Fan, Yoshikazu Nakajima, Xiaolei Qu   +3 more
doaj   +1 more source