Results 31 to 40 of about 21,724 (205)
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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, 1946 Many inverse problems can be described by a PDE model with unknown parameters that need to be calibrated based on measurements related to its solution.
Schenkels, Nick, Vanroose, Wim
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High-Resolution Diffusion-Weighted Imaging With Self-Gated Self-Supervised Unrolled Reconstruction. [PDF]
Magn Reson MedABSTRACT Purpose High‐resolution diffusion‐weighted imaging (DWI) is clinically demanding. The purpose of this work is to develop an efficient self‐supervised algorithm unrolling technique for submillimeter‐resolution DWI. Methods We developed submillimeter DWI acquisition utilizing multi‐band multi‐shot EPI with diffusion shift encoding.
Tan Z +4 more
europepmc +2 more sources
Signal Restoration Combining Modified Tikhonov Regularization and Preconditioning Technology
IEEE Access, 2017 The purpose of signal restoration is to acquire a clean signal from the degraded signal which contains blur and noise. In this paper, a modified Tikhonov regularization method based on the standard Tikhonov regularization matrix is proposed, and the ...
Hong-Xia Dou +3 more
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Prediction of propagated wave profiles based on point measurement
International Journal of Naval Architecture and Ocean Engineering, 2014 This study presents the prediction of propagated wave profiles using the wave information at a fixed point. The fixed points can be fixed in either space or time.
Lee Sang-Beom +3 more
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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 +5 more
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Convex regularization of discrete-valued inverse problems
, 2017 This work is concerned with linear inverse problems where a distributed parameter is known a priori to only take on values from a given discrete set.
Clason, Christian, Do, Thi Bich Tram
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A new approach to nonlinear constrained Tikhonov regularization [PDF]
, 2011 We present a novel approach to nonlinear constrained Tikhonov regularization from the viewpoint of optimization theory. A second-order sufficient optimality condition is suggested as a nonlinearity condition to handle the nonlinearity of the forward ...
Ito, Kazufumi, Jin, Bangti
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Extrapolation of Tikhonov and Lavrentiev regularization methods
Journal of Physics: Conference Series, 2008 We consider solution of linear ill-posed problem Au = f by Tikhonov method and by Lavrentiev method. For increasing the qualification and accuracy of these methods we use extrapolation, taking for the approximate solution linear combination of n ≥ 2 approximations of Tikhonov or Lavrentiev methods with different parameters and with proper coefficients.
Uno Hämarik, Reimo Palm, Toomas Raus
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