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Lionheart, William Robert Breckon

Author ID: lionheart.william-robert-breckon Recent zbMATH articles by "Lionheart, William Robert Breckon"
Published as: Lionheart, William R. B.; Lionheart, W. R. B.; Lionheart, William; Lionheart, William RB; Lionheart, B.; Lionheart, W.
Homepage: http://vummath.ma.man.ac.uk/~bl/
External Links: MGP · ORCID · arXiv
all top 5

Co-Authors

4 single-authored
11 Ledger, Paul David
5 Withers, Philip J.
4 Gaburro, Romina
4 Kazantsev, Daniil
4 Lee, Peter D.
3 Arridge, Simon R.
3 Dobson, Katherine J.
3 Watson, F. M.
2 Adler, Andy
2 Amad, Alan A. S.
2 Andersen, Martin S.
2 Betcke, Marta M.
2 Courdurier, Matias
2 Desai, Naeem M.
2 Holman, Sean F.
2 Jørgensen, Jakob Sauer
2 Kaestner, Anders P.
2 Polyakova, Anna Petrovna
2 Soleimani, Manuchehr
2 Svetov, Ivan Evgenyevich
2 Van Eyndhoven, Geert
2 Wilson, Ben A.
1 Abascal, Juan-Felipe P. J.
1 Atwood, R.
1 Avramov, Vasil
1 Aykroyd, Robert G.
1 Barnes, Frederik Brooke
1 Batenburg, Kees Joost
1 Benning, Martin
1 Collins, Sean M.
1 Coxson, Adam
1 Crabb, Michael G.
1 Doeva, Olga
1 Dond, Yiqiu
1 Dorn, Oliver
1 Doubikin, Ty
1 Hammer, Hanno
1 Hansen, Per Christian
1 Hellier, Joël
1 Holder, David S.
1 Hutton, Brian F.
1 Johnstone, Duncan N.
1 Joshi, Mark S.
1 Kaipio, Jari P.
1 Khairuddin, Taufiq K. A.
1 Kim, Sungwhan
1 Kolehmainen, Ville
1 Kretinin, Andrey
1 McDonald, S. A.
1 Midgley, Paul A.
1 Mihov, Ivo
1 Mishchenko, Artem
1 Mullan, Ciaran
1 Nolan, Clifford J.
1 Ourselin, Sébastien
1 Paulson, Kevin
1 Pidcock, Michael K.
1 Polydorides, Nick
1 Quinto, Eric Todd
1 Sales, Morten
1 Sanderson, David
1 Schmidt, Søren
1 Schönlieb, Carola-Bibiane
1 Schweiger, Martin
1 Seo, Jin Keun
1 Sharafutdinov, Vladimir A.
1 Sijbers, Jan
1 Slizovskiy, Sergey
1 Storteig, E.
1 Strobl, Markus
1 Thompson, William M.
1 Timokhin, Ivan V.
1 Tovey, Robert
1 van Berkel, C. A. M.
1 Vauhkonen, Marko
1 Wang, Ziwei
1 Webber, James W.
1 Wensrich, Chris
1 Wensrich, Christopher M.
1 West, Robert M.
1 Woo, Hyenkyun
1 Yang, Qian

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 247 times in 180 Documents Cited by Year
Conformal uniqueness results in anisotropic electrical impedance imaging. Zbl 0868.35140
Lionheart, W. R. B.
26
1997
Diffraction tomography of strain. Zbl 1331.49050
Lionheart, W. R. B.; Withers, P. J.
17
2015
Recovery of region boundaries of piecewise constant coefficients of an elliptic PDE from boundary data. Zbl 0936.35195
Kolehmainen, V.; Arridge, S. R.; Lionheart, W. R. B.; Vauhkonen, M.; Kaipio, J. P.
16
1999
An inverse boundary value problem for harmonic differential forms. Zbl 1068.35185
Joshi, M. S.; Lionheart, W. R. B.
16
2005
Three dimensional Compton scattering tomography. Zbl 1442.44002
Webber, James W.; Lionheart, William R. B.
14
2018
Level set reconstruction of conductivity and permittivity from boundary electrical measurements using experimental data. Zbl 1194.78011
Soleimani, M.; Lionheart, W. R. B.; Dorn, O.
13
2006
Computed tomography. Algorithms, insight, and just enough theory. With contributions by Martin S. Andersen, K. Joost Batenburg, Yiqiu Dond, Eric Todd Quinto and Jan Sijbers. Zbl 1482.94006
12
2021
Characterizing the shape and material properties of hidden targets from magnetic induction data. Zbl 1334.35334
Ledger, Paul D.; Lionheart, William R. B.
11
2015
Recovering Riemannian metrics in monotone families from boundary data. Zbl 1172.35078
Gaburro, Romina; Lionheart, William R. B.
10
2009
Electrical impedance tomography. Zbl 1331.94009
Adler, Andy; Gaburro, Romina; Lionheart, William
10
2015
Joint image reconstruction method with correlative multi-channel prior for x-ray spectral computed tomography. Zbl 1441.94015
Kazantsev, Daniil; Jørgensen, Jakob S.; Andersen, Martin S.; Lionheart, William R. B.; Lee, Peter D.; Withers, Philip J.
9
2018
Reconstruction algorithm for the linearized polarization tomography problem with incomplete data. Zbl 1182.44003
Lionheart, William; Sharafutdinov, Vladimir
9
2009
An explicit reconstruction algorithm for the transverse ray transform of a second rank tensor field from three axis data. Zbl 1364.65286
Desai, Naeem M.; Lionheart, William R. B.
9
2016
A novel technique to incorporate structural prior information into multi-modal tomographic reconstruction. Zbl 1301.92041
Kazantsev, Daniil; Ourselin, Sébastien; Hutton, Brian F.; Dobson, Katherine J.; Kaestner, Anders P.; Lionheart, William R. B.; Withers, Philip J.; Lee, Peter D.; Arridge, Simon R.
8
2014
Characterisation of multiple conducting permeable objects in metal detection by polarizability tensors. Zbl 1407.35227
Ledger, P. D.; Lionheart, W. R. B.; Amad, A. A. S.
6
2019
Generalised magnetic polarizability tensors. Zbl 1391.35424
Ledger, Paul David; Lionheart, William R. B.
6
2018
Application of Sharafutdinov’s ray transform in integrated photoelasticity. Zbl 1084.74019
Hammer, H.; Lionheart, B.
5
2004
Electrical impedance tomography. Zbl 1259.94008
Adler, Andy; Gaburro, Romina; Lionheart, William
5
2011
Electrical impedance tomography in anisotropic media with known eigenvectors. Zbl 1220.35187
Abascal, Juan-Felipe P. J.; Lionheart, William R. B.; Arridge, Simon R.; Schweiger, Martin; Atkinson, David; Holder, David S.
5
2011
The spectral properties of the magnetic polarizability tensor for metallic object characterisation. Zbl 1439.35566
Ledger, P. D.; Lionheart, W. R. B.
5
2020
The perturbation of electromagnetic fields at distances that are large compared with the object’s size. Zbl 1331.35334
Ledger, Paul D.; Lionheart, William R. B.
4
2015
Histogram tomography. Zbl 1512.78020
Lionheart, William R. B.
4
2020
Boundary shape and electrical impedance tomography. Zbl 0894.35129
Lionheart, W. R. B.
3
1998
Reconstruction of a grounded object in an electrostatic halfspace with an indicator function. Zbl 1202.78011
Van Berkel, C.; Lionheart, W. R. B.
3
2007
Lipschitz stability at the boundary for time-harmonic diffuse optical tomography. Zbl 1497.35154
Doeva, Olga; Gaburro, Romina; Lionheart, William R. B.; Nolan, Clifford J.
3
2022
Polarimetric neutron tomography of magnetic fields: uniqueness of solution and reconstruction. Zbl 1476.44001
Desai, Naeem M.; Lionheart, William R. B.; Sales, Morten; Strobl, Markus; Schmidt, Søren
3
2020
A direct tracking method for a grounded conductor inside a pipeline from capacitance measurements. Zbl 1094.35146
Woo, Hyenkyun; Kim, Sungwhan; Seo, Jin Keun; Lionheart, William; Woo, Eung Je
2
2006
Fitting ellipsoids to objects by the first order polarization tensor. Zbl 1369.65039
Khairuddin, Taufiq K. A.; Lionheart, William R. B.
2
2013
Employing temporal self-similarity across the entire time domain in computed tomography reconstruction. Zbl 1353.68285
Kazantsev, D.; Van Eyndhoven, G.; Lionheart, W. R. B.; Withers, P. J.; Dobson, K. J.; McDonald, S. A.; Atwood, R.; Lee, P. D.
2
2015
Identification of metallic objects using spectral magnetic polarizability tensor signatures: object characterisation and invariants. Zbl 07865383
Ledger, Paul D.; Wilson, Ben A.; Amad, Alan A. S.; Lionheart, William R. B.
2
2021
Identification of metallic objects using spectral magnetic polarizability tensor signatures: object classification. Zbl 1536.78005
Wilson, Ben A.; Ledger, Paul D.; Lionheart, William R. B.
2
2022
POMPUS: An optimized EIT reconstruction algorithm. Zbl 0822.35152
Paulson, Kevin; Lionheart, William; Pidcock, Michael
1
1995
Speed improvement of MCMC image reconstruction in tomography by partial linearization. Zbl 1136.94303
West, Robert M.; Soleimani, Manuchehr; Aykroyd, Robert G.; Lionheart, William RB
1
2006
4D-CT reconstruction with unified spatial-temporal patch-based regularization. Zbl 1332.65041
Kazantsev, Daniil; Thompson, William M.; Lionheart, William R. B.; Van Eyndhoven, Geert; Kaestner, Anders P.; Dobson, Katherine J.; Withers, Philip J.; Lee, Peter D.
1
2015
Scanning electron diffraction tomography of strain. Zbl 1457.78011
Tovey, Robert; Johnstone, Duncan N.; Collins, Sean M.; Lionheart, William R. B.; Midgley, Paul A.; Benning, Martin; Schönlieb, Carola-Bibiane
1
2021
Machine learning enhanced electrical impedance tomography for 2D materials. Zbl 1502.78019
Coxson, Adam; Mihov, Ivo; Wang, Ziwei; Avramov, Vasil; Barnes, Frederik Brooke; Slizovskiy, Sergey; Mullan, Ciaran; Timokhin, Ivan; Sanderson, David; Kretinin, Andrey; Yang, Qian; Lionheart, William R. B.; Mishchenko, Artem
1
2022
Lipschitz stability at the boundary for time-harmonic diffuse optical tomography. Zbl 1497.35154
Doeva, Olga; Gaburro, Romina; Lionheart, William R. B.; Nolan, Clifford J.
3
2022
Identification of metallic objects using spectral magnetic polarizability tensor signatures: object classification. Zbl 1536.78005
Wilson, Ben A.; Ledger, Paul D.; Lionheart, William R. B.
2
2022
Machine learning enhanced electrical impedance tomography for 2D materials. Zbl 1502.78019
Coxson, Adam; Mihov, Ivo; Wang, Ziwei; Avramov, Vasil; Barnes, Frederik Brooke; Slizovskiy, Sergey; Mullan, Ciaran; Timokhin, Ivan; Sanderson, David; Kretinin, Andrey; Yang, Qian; Lionheart, William R. B.; Mishchenko, Artem
1
2022
Computed tomography. Algorithms, insight, and just enough theory. With contributions by Martin S. Andersen, K. Joost Batenburg, Yiqiu Dond, Eric Todd Quinto and Jan Sijbers. Zbl 1482.94006
12
2021
Identification of metallic objects using spectral magnetic polarizability tensor signatures: object characterisation and invariants. Zbl 07865383
Ledger, Paul D.; Wilson, Ben A.; Amad, Alan A. S.; Lionheart, William R. B.
2
2021
Scanning electron diffraction tomography of strain. Zbl 1457.78011
Tovey, Robert; Johnstone, Duncan N.; Collins, Sean M.; Lionheart, William R. B.; Midgley, Paul A.; Benning, Martin; Schönlieb, Carola-Bibiane
1
2021
The spectral properties of the magnetic polarizability tensor for metallic object characterisation. Zbl 1439.35566
Ledger, P. D.; Lionheart, W. R. B.
5
2020
Histogram tomography. Zbl 1512.78020
Lionheart, William R. B.
4
2020
Polarimetric neutron tomography of magnetic fields: uniqueness of solution and reconstruction. Zbl 1476.44001
Desai, Naeem M.; Lionheart, William R. B.; Sales, Morten; Strobl, Markus; Schmidt, Søren
3
2020
Characterisation of multiple conducting permeable objects in metal detection by polarizability tensors. Zbl 1407.35227
Ledger, P. D.; Lionheart, W. R. B.; Amad, A. A. S.
6
2019
Three dimensional Compton scattering tomography. Zbl 1442.44002
Webber, James W.; Lionheart, William R. B.
14
2018
Joint image reconstruction method with correlative multi-channel prior for x-ray spectral computed tomography. Zbl 1441.94015
Kazantsev, Daniil; Jørgensen, Jakob S.; Andersen, Martin S.; Lionheart, William R. B.; Lee, Peter D.; Withers, Philip J.
9
2018
Generalised magnetic polarizability tensors. Zbl 1391.35424
Ledger, Paul David; Lionheart, William R. B.
6
2018
An explicit reconstruction algorithm for the transverse ray transform of a second rank tensor field from three axis data. Zbl 1364.65286
Desai, Naeem M.; Lionheart, William R. B.
9
2016
Diffraction tomography of strain. Zbl 1331.49050
Lionheart, W. R. B.; Withers, P. J.
17
2015
Characterizing the shape and material properties of hidden targets from magnetic induction data. Zbl 1334.35334
Ledger, Paul D.; Lionheart, William R. B.
11
2015
Electrical impedance tomography. Zbl 1331.94009
Adler, Andy; Gaburro, Romina; Lionheart, William
10
2015
The perturbation of electromagnetic fields at distances that are large compared with the object’s size. Zbl 1331.35334
Ledger, Paul D.; Lionheart, William R. B.
4
2015
Employing temporal self-similarity across the entire time domain in computed tomography reconstruction. Zbl 1353.68285
Kazantsev, D.; Van Eyndhoven, G.; Lionheart, W. R. B.; Withers, P. J.; Dobson, K. J.; McDonald, S. A.; Atwood, R.; Lee, P. D.
2
2015
4D-CT reconstruction with unified spatial-temporal patch-based regularization. Zbl 1332.65041
Kazantsev, Daniil; Thompson, William M.; Lionheart, William R. B.; Van Eyndhoven, Geert; Kaestner, Anders P.; Dobson, Katherine J.; Withers, Philip J.; Lee, Peter D.
1
2015
A novel technique to incorporate structural prior information into multi-modal tomographic reconstruction. Zbl 1301.92041
Kazantsev, Daniil; Ourselin, Sébastien; Hutton, Brian F.; Dobson, Katherine J.; Kaestner, Anders P.; Lionheart, William R. B.; Withers, Philip J.; Lee, Peter D.; Arridge, Simon R.
8
2014
Fitting ellipsoids to objects by the first order polarization tensor. Zbl 1369.65039
Khairuddin, Taufiq K. A.; Lionheart, William R. B.
2
2013
Electrical impedance tomography. Zbl 1259.94008
Adler, Andy; Gaburro, Romina; Lionheart, William
5
2011
Electrical impedance tomography in anisotropic media with known eigenvectors. Zbl 1220.35187
Abascal, Juan-Felipe P. J.; Lionheart, William R. B.; Arridge, Simon R.; Schweiger, Martin; Atkinson, David; Holder, David S.
5
2011
Recovering Riemannian metrics in monotone families from boundary data. Zbl 1172.35078
Gaburro, Romina; Lionheart, William R. B.
10
2009
Reconstruction algorithm for the linearized polarization tomography problem with incomplete data. Zbl 1182.44003
Lionheart, William; Sharafutdinov, Vladimir
9
2009
Reconstruction of a grounded object in an electrostatic halfspace with an indicator function. Zbl 1202.78011
Van Berkel, C.; Lionheart, W. R. B.
3
2007
Level set reconstruction of conductivity and permittivity from boundary electrical measurements using experimental data. Zbl 1194.78011
Soleimani, M.; Lionheart, W. R. B.; Dorn, O.
13
2006
A direct tracking method for a grounded conductor inside a pipeline from capacitance measurements. Zbl 1094.35146
Woo, Hyenkyun; Kim, Sungwhan; Seo, Jin Keun; Lionheart, William; Woo, Eung Je
2
2006
Speed improvement of MCMC image reconstruction in tomography by partial linearization. Zbl 1136.94303
West, Robert M.; Soleimani, Manuchehr; Aykroyd, Robert G.; Lionheart, William RB
1
2006
An inverse boundary value problem for harmonic differential forms. Zbl 1068.35185
Joshi, M. S.; Lionheart, W. R. B.
16
2005
Application of Sharafutdinov’s ray transform in integrated photoelasticity. Zbl 1084.74019
Hammer, H.; Lionheart, B.
5
2004
Recovery of region boundaries of piecewise constant coefficients of an elliptic PDE from boundary data. Zbl 0936.35195
Kolehmainen, V.; Arridge, S. R.; Lionheart, W. R. B.; Vauhkonen, M.; Kaipio, J. P.
16
1999
Boundary shape and electrical impedance tomography. Zbl 0894.35129
Lionheart, W. R. B.
3
1998
Conformal uniqueness results in anisotropic electrical impedance imaging. Zbl 0868.35140
Lionheart, W. R. B.
26
1997
POMPUS: An optimized EIT reconstruction algorithm. Zbl 0822.35152
Paulson, Kevin; Lionheart, William; Pidcock, Michael
1
1995
all top 5

Cited by 327 Authors

17 Lionheart, William Robert Breckon
11 Ledger, Paul David
8 Gaburro, Romina
7 Harrach, Bastian
6 Sharafutdinov, Vladimir A.
5 Webber, James W.
4 Dong, Yiqiu
4 Dorn, Oliver
4 Hansen, Per Christian
4 Holman, Sean F.
4 Kamran, Niky
4 Khambampati, Anil Kumar
4 Kim, Kyung Youn
4 Kim, Sin-Bom
4 Krishnan, Venkateswaran P.
4 Polyakova, Anna Petrovna
4 Salo, Mikko
4 Sincich, Eva
4 Svetov, Ivan Evgenyevich
4 Yu, Chengjie
3 Alessandrini, Giovanni
3 Amad, Alan A. S.
3 Andersen, Martin S.
3 Balandin, Alexander Leonidovich
3 Bukshtynov, Vladislav
3 Daudé, Thierry
3 de Hoop, Maarten V.
3 Karpukhin, Mikhail A.
3 Kazantsev, Daniil
3 Mishra, Rohit Kumar
3 Nicoleau, François
3 Oksanen, Lauri
3 Quinto, Eric Todd
3 Rigaud, Gaël
3 Schuster, Thomas
3 Shi, Yongjie
3 Soleimani, Manuchehr
3 Uribe, Felipe
3 Wilson, Ben A.
2 Abhishek, Anuj
2 Afkham, Babak Maboudi
2 Arbic, Paul R. II
2 Cebeiro, Javier
2 Chapko, Roman
2 Chung, Julianne M.
2 De Cezaro, Adriano
2 Derevtsov, Evgeny Yurievich
2 Dong, Feng
2 Dos Santos Ferreira, David
2 Everink, Jasper M.
2 Gazzola, Silvia
2 Girouard, Alexandre
2 Guo, Ruchi
2 Hiles, Alex J.
2 Hyvönen, Nuutti
2 Ilmavirta, Joonas
2 Jørgensen, Jakob Sauer
2 Kaipio, Jari P.
2 Lee, Peter D.
2 Lee, Yeon-Gun
2 Lin, Tao
2 Lin, Yanping
2 Monard, François
2 Mönkkönen, Keijo
2 Nguyen, Maï Khuong
2 Nolan, Clifford J.
2 Paternain, Gabriel Pedro
2 Raulot, Simon
2 Ren, Shangjie
2 Riis, Nicolai A. B.
2 Sahoo, Suman Kumar
2 Savo, Alessandro
2 Tarpau, Cécilia
2 Uhlmann, Gunther Alberto
2 Volkov, Yuriĭ Stepanovich
2 Withers, Philip J.
2 Xu, Yaoyuan
2 Zhang, Xiaoqun
1 Adler, Andy
1 Agnelli, Juan Pablo
1 Agrawal, Divyansh
1 Aida-Zade, Kamil Rajab
1 Alberti, Giovanni S.
1 Alghamdi, Amal Mohammed A
1 Alves, M. Marques
1 Ambartsoumian, Gaik
1 Aspri, Andrea
1 Atwood, R.
1 Bai, Zhongzhi
1 Bal, Guillaume
1 Bao, Chenglong
1 Bardsley, Johnathan M.
1 Barth, Andrea
1 Batenburg, Kees Joost
1 Belhachmi, Zakaria
1 Belishev, Mikhail Igorevitch
1 Bellassoued, Mourad
1 Benfenati, Alessandro
1 Benning, Martin
1 Betcke, Timo
...and 227 more Authors
all top 5

Cited in 70 Serials

32 Inverse Problems
14 Inverse Problems in Science and Engineering
11 Inverse Problems and Imaging
6 SIAM Journal on Imaging Sciences
5 International Journal for Numerical Methods in Engineering
5 The Journal of Geometric Analysis
5 Applied Mathematical Modelling
5 Journal of Inverse and Ill-Posed Problems
4 Journal of Computational Physics
4 Mathematical Methods in the Applied Sciences
3 Journal of Mathematical Analysis and Applications
3 Journal of Computational and Applied Mathematics
3 Journal of Differential Equations
3 Engineering Analysis with Boundary Elements
3 SIAM/ASA Journal on Uncertainty Quantification
2 Applicable Analysis
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Geometry and Physics
2 Journal of Functional Analysis
2 Journal of Scientific Computing
2 SIAM Journal on Mathematical Analysis
2 SIAM Journal on Scientific Computing
2 ETNA. Electronic Transactions on Numerical Analysis
2 Bulletin des Sciences Mathématiques
2 Annales Henri Poincaré
2 Journal of Spectral Theory
2 Mathematics in Engineering
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Physics
1 Nonlinearity
1 Physics Letters. A
1 Annales de l’Institut Fourier
1 Applied Mathematics and Computation
1 Calcolo
1 Canadian Journal of Mathematics
1 Inventiones Mathematicae
1 Numerische Mathematik
1 COMPEL
1 Science in China. Series A
1 European Journal of Applied Mathematics
1 Japan Journal of Industrial and Applied Mathematics
1 Applications of Mathematics
1 Automation and Remote Control
1 Communications in Partial Differential Equations
1 International Journal of Computer Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Computational Optimization and Applications
1 The Journal of Fourier Analysis and Applications
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Revista Matemática Complutense
1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
1 Journal of the European Mathematical Society (JEMS)
1 Engineering Computations
1 Journal of Applied Mathematics
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Optimization Letters
1 Electronic Research Announcements in Mathematical Sciences
1 Discrete and Continuous Dynamical Systems. Series S
1 Asian-European Journal of Mathematics
1 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
1 Forum of Mathematics, Sigma
1 Journal of Mathematical Modeling
1 Journal de l’École Polytechnique – Mathématiques
1 Philosophical Transactions A. Royal Society of London

Citations by Year