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Non-convergence of the L-curve regularization parameter selection method
Inverse Problems, 1996Although the \(L\)-curve method for selecting the regularization parameter in algorithms for solving discrete ill-posed problems has been used with satisfactory results in a number of applications, several recent papers have called attention to the method's theoretical shortcomings.
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A modified L-curve method for choosing regularization parameter in electrical resistance tomography
2015 IEEE International Conference on Imaging Systems and Techniques (IST), 2015Regularization methods are widely used in dealing with the ill-posed inverse problem of electrical resistance tomography (ERT), especially the Tikhonov method. A proper choice of regularization parameter is crucial to produce an efficient regularization solution.
Yang Pei, Yanbin Xu, Feng Dong
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Measurement Science and Technology, 2016
The L-curve method is a popular regularization parameter choice method for the ill-posed inverse problem of electrical resistance tomography (ERT). However the method cannot always determine a proper parameter for all situations. An investigation into those situations where the L-curve method failed show that a new corner point appears on the L-curve ...
Yanbin Xu, Yang Pei, Feng Dong
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The L-curve method is a popular regularization parameter choice method for the ill-posed inverse problem of electrical resistance tomography (ERT). However the method cannot always determine a proper parameter for all situations. An investigation into those situations where the L-curve method failed show that a new corner point appears on the L-curve ...
Yanbin Xu, Yang Pei, Feng Dong
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An inversion method of 2D NMR relaxation spectra in low fields based on LSQR and L-curve
Journal of Magnetic Resonance, 2016The low-field nuclear magnetic resonance (NMR) inversion method based on traditional least-squares QR decomposition (LSQR) always produces some oscillating spectra. Moreover, the solution obtained by traditional LSQR algorithm often cannot reflect the true distribution of all the components. Hence, a good solution requires some manual intervention, for
Guanqun, Su +4 more
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Multiplicative noise and blur removal by framelet decomposition and \(\ell_1\)-based L-curve method
IEEE Trans. Image Process., 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan Wang, Xi-Le Zhao, Michael K. Ng 0001
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Exact Reconstruction for Dual Energy Computed Tomography Using an H-L Curve Method
2006 IEEE Nuclear Science Symposium Conference Record, 2006The dependence of the attenuation coefficient on x-ray energy causes image artefacts for polychromatic x-ray computed tomography. An exact dual energy reconstruction method based on the H-L curves is proposed. The atomic number and equivalent electron density distribution of the scanned objects can be reconstructed with this method.
Guowei Zhang +3 more
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L-Curve Based Tikhonov’s Regularization Method for Determining Relaxation Modulus From Creep Test
Journal of Applied Mechanics, 2011A numerical method for directly obtaining discrete relaxation modulus from static creep tests data is developed for linear viscoelastic asphalt mixtures. To overcome the ill-posedness of interconversion between creep compliance and relaxation modulus, Volterra integral equations of the second kind and L-curve based Tikhonov’s regularization method are ...
Yaoting Zhu, Lu Sun, Huilin Xu
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The 17th Annual Meeting of the IEEE Lasers and Electro-Optics Society, 2004. LEOS 2004., 2004
The determination of the polarization distribution by means of the laser intensity modulation method (LIMM) requires a solution of a Fredholm integral equation of the 1st kind. This is an ill-conditioned problem that can lead to multiple and very different solutions. One of the more frequently used solution methods is based upon Tikhonov regularization.
S.B. Lang, R. Fleming, T. Pawlowski
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The determination of the polarization distribution by means of the laser intensity modulation method (LIMM) requires a solution of a Fredholm integral equation of the 1st kind. This is an ill-conditioned problem that can lead to multiple and very different solutions. One of the more frequently used solution methods is based upon Tikhonov regularization.
S.B. Lang, R. Fleming, T. Pawlowski
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An H-L Curve Method for Material Discrimination of Dual Energy X-Ray Inspection Systems
IEEE Nuclear Science Symposium Conference Record, 2005, 2006An H-L (high and low energy transparencies) curve method is proposed for material recognition in dual energy X-ray inspection systems. Experiments on a series of common materials are conducted and demonstrate good performance in discrimination of practical objects.
G.W. Zhang, L. Zhang, Z. Chen
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Ill-posed Echo State Network based on L-curve Method for Prediction of Blast Furnace Gas Flow
Neural Processing Letters, 2014Blast furnace gas is a significant energy resource in steel industry. Keeping stable of blast furnace gas flow is an important task for the furnace itself and the application of byproduct gas. However, owing to fluctuation and noisy of gas flow, echo state network is usually ill-posed in the prediction and it is very difficult to accurately predict the
Limin Zhang +3 more
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