School of Mathematics, University of Manchester
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Submitted/in press
Some preprints and eprints are on the MIMS eprint server. Automatic list of my MIMS eprints. There are also links to Zentralblatt (Zbl), MathSciNet, ArXiV preprint server. The link to DOI (Digital object identifier) goes to the online version of the journal article (to which you may or may not have a subscription!).
The ISBN link goes to Wikipedia's "book source" page which may help you find the book in a library or shop near you. Also there is a link to Amazon.com, but no special endorsment of Amazon is implied.
You can also search for my publications in
Google Scholar (getting better).
PubMed
ArXiv.org,
Smithsonian/NASA (ADS)
ISI Researcher ID has some of my publications. My MathsRev Author ID is 315924.
At the bottom of the page there is a list of the last known locations of some of my coauthors.
Refereeed Publications
 Breckon, W R, Pidcock, M K, Mathematical Aspects of Impedance Imaging,
Clin. Phys. Physiol. Meas., 8, Suppl A, 1987, Ch.21, pp.7784
PubMed
DOI: 10.1088/01430815/8/4A/010
reprint
 Breckon, W R, Pidcock, M K, Some Mathematical Aspects of Impedance Imaging,
Mathematics and Computer Science in Medical Imaging, Ed Viergever and ToddPokropek,
NATO ASI series F, Vol 39, Springer, 1988.
reprint
ISBN: 3540186727  Breckon, W R, Pidcock, M K, IllPosedness and NonLinearity in ElectricalImpedance
Tomography, Information Processing in Medical Imaging, Ed de Graaf and
Viergever, pp.235244, Plenum, 1988
 Breckon, W R, Pidcock, M K, Progress in ElectricalImpedance Tomography,
Some Topics on Inverse Problems, pp.254264, ed Sabatier, World Scientific,
1988.
Zbl: 850.35133
 Breckon, W R, Pidcock, M K, Data errors and reconstruction algorithms in electrical impedance tomography,
Clin. Phys. Physiol. Meas. 9 105109, 1988
DOI: 10.1088/01430815/9/4A/018
 Breckon, W R, Paulson, K S and Pidcock, M K, 'Parallelism in EIT Reconstruction',
Information Processing in Medical Imaging, Progress in Clinical and Biological
Research, Vol 363, Ed. Ortendahl, D.A. and Llacer, J., 187196, WileyLiss
(1991).
 Breckon, W R, 'Measurement and Reconstruction in EIT', Inverse Problems
and Imaging, Research Notes in Mathematics 245, Ed Roach G., 130140, Pitman(1991). ISBN: 0582064244 (hard) or 0470217189 (paper)
Zbl: 0755.92011 Amazon.com
 Lidgey F J, Zhu Q S, McLeod, C N and Breckon W R, 'Electrode current
determination from programmable voltage sources', Clinical Physics and
Physiological Medicine, Vol 13A, 4347,(1992).
 Paulson, K S, Breckon, W R, Pidcock, M K, 'Electrode modelling in Electrical
Impedance Tomography', SIAM Journal of Applied Mathematics, Vol 52, 10121022,
(1992).
Zbl: 0760.35055
 Paulson K S, Breckon W R and Pidcock M K, 'A hybrid phantom for Elec
trical
Impedance Tomography', Clinical Physics and Physiological Medicine, Vol
13A, 155161,(1992).
 Breckon, W R, 'The problem of Anisotropy in Electrical Impedance Tomography',
Proceedings of 14th International Conference of the IEEE Engineering in
Medicine and Biology Society, Vol 5, 17341735, Paris, (1992).
MIMS eprint: 2008.44
 Paulson, K S, Breckon, W R and Pidcock, M K, 'Optimal measurements in
Electrical Impedance Tomography 'Proceedings of 14th International Conference
of the IEEE Engineering in Medicine and Biology Society, Vol 5, 17301731,
Paris, (1992).
 Zhu, Q, Breckon, W R, Lidgey, F J and McLeod, C N, 'A voltage driven
Adaptive Current Electrical Impedance Tomograph', Proceedings of 14th Internatio
nal
Conference of the IEEE Engineering in Medicine and Biology Society, Vol
5, 17041705, Paris, (1992).
 Zhu, Q, Denyer C W, Lidgey, F J, Lionheart, W R and McLeod C N, 'A serial
data acquisition architecture for continuous Impedance Imaging', Proceedings
of 15th International Conference of the IEEE Engineering in Medicine and
Biology Society, 10241025, Paris, (1992).
 Paulson, K S, Breckon, W R, Pidcock, M K, 'Optimal Experiments in Electrical
Impedance Tomography', IEEE Transactions on Medical Imaging, Vol 12, No
2, 681686, (1993).
 Paulson, K S, Lionheart, W R and Pidcock, M K, 'Fast, nonlinear inversion
for Electrical Impedance Tomography', Information Processing in Medical
Imaging, Ed. Barrett. and Gmitro, A F, 244258, Springer (1993).
 Zhu, Q, McLeod, C N, Breckon, W R, Lidgey F J, Paulson, K S and Pidcock,
M.K, 'An Adaptive Current Tomograph using voltage sources', IEEE Transactions
on Biomedical Engineering, Vol 40, No 2,(163168), (1993).
 Zhu QS, McLeod CN, Denyer CW, Lidgey FJ, Lionheart WRB, Serial data
acquisition architecture for continuous impedance imaging, Proceedings
of the Annual Conference on Engineering in Medicine and Biology, 1993,
Vol.15, No.pt 2, pp.10241025, IEEE, Piscataway, NJ, USA
 Paulson, K S, Lionheart, W R and Pidcock, M K, 'A fast inversion for
Electrical Impedance Tomography', Image and Vision Computing, Vol 12, No
6, 367373, (1994).
 Zhu, Q, Denyer, C W, Lidgey, F J, Lionheart, W R and McLeod, C N, 'Development
of a realtime adaptive current tomograph', Physiological Measurement,
Vol 15, Supp 2A, 3745 (1994)
DOI: 10.1088/09673334/15/2A/005
 McLeod, CN, Shi, Y, Denyer CW, Lidgey, FJ, Lionheart WRB, Paulson KS,
Pidcock MK, Chest Impedance Imaging using trigonometric current patterns, Proc
Proc IX Internation Conference on BioImpedance, Heidelberg, p408409, 1995.
MIMS eprint: 2008.42
 Lionheart WRB, Uniquness of solution for the anisotropic Electrical
Impedance Inverse Problem, Proc IX Internation Conferenc on BioImpedance,
Heidelberg, p515516, 1995.

Paulson K, Lionheart W, Pidcock M, POMPUS  An Optimized EIT Reconstruction
Algorithm, Inverse Problems,
1995, Vol.11, No.2, pp.425437
Zbl: 0822.35152 DOI: 10.1088/02665611/11/2/010
MIMS eprint: 2015.44
 Molebny V.V, Lionheart W.R.B,Vovk P.P. , Mykytenko Y.H, Gouz V.I., Sensor
Position measurement for Electroimpedance Tomography, Medical
& Biological Engineering and Computing, 1996, Vol 34, Suppl 1,
Part 1,
 Lionheart W.R.B, Conformal uniqueness results in anisotropic electrical
impedance imaging. Inverse Problems
Volume 13, Number 1, February,(125134) 1997
Errata and Comments
DOI: 10.1088/02665611/13/1/010 MathSciNet: 98c:78025 Zbl: 868.35140
 Lionheart, WRB Lidgey, FJ McLeod, CN Paulson, KS Pidcock, MK Shi, Y, Electrical Impedance Tomography for high speed chest imaging, Physica
Medica, Vol 13, Suppl 1,247249, Dec 1997,
MIMS eprint: 2008.30
 Lionheart, WRB, Boundary Shape and Electrical Impedance Tomography,
Inverse Problems, Vol 14,
No 1, 139147,1998.
Zbl: 894.35129 MathSciNet: 98m:78029 DOI: 10.1088/02665611/14/1/012 MIMS eprint: 2008.28
 Arridge, S.R., Lionheart., W.R.B., "NonUniqueness in DiffusionBased
Optical Tomography", Optics
Letters, 23, 882884, 1998. Reprint
GoogleScholar: versns; citns
MIMS eprint: 2008.72
 McLeod C, Lionheart, W, ELECTRIC IMPEDANCE IMAGING, Encyclopedia
of Electrical and Electronics Engineering , edited by John G. Webster,
Wiley 1999, ISBN: 0471139467
Amazon.com
 Lionheart WRB. Uniqueness, shape, and dimension in EIT, Annals of the New York Academy of Sciences, 1999, Vol.873, pp.466471
MIMS eprint: 2015.48
 K.Jerbi, W.R.B. Lionheart, P.J. Vauhkonen, "Image reconstruction in
EIT assuming a translationally invariant conductivity distribution", Medical
& Biological Engineering & Computing , Vol.37, Suppl. 2, 1999.
(European Medical and Biological Engineering Conference, EMBEC '99, Vienna, 1999). This conference proceedings suppliment appears not to be on line, but a few details of the conference are on the EMBEC web site. See instead Jerbi et al 2000 below which in any case is a more detailed paper.
 V Kolehmainen, S R Arridge, W R B Lionheart, M Vauhkonen and J P Kaipio,
Recovery of region boundaries of piecewise constant coefficients of an
elliptic PDE from boundary data, Inverse
Problems 15 No 5 (October 1999) 13751391.
Zbl: 868.35140 MathSciNet: 2000g:35231 DOI: 10.1088/02665611/15/5/318 Preprint
 W R B Lionheart, S R Arridge, M Schweiger, M Vauhkonen and J P Kaipio, Electrical Impedance and Diffuse Optical Tomography Reconstruction Software, Proceedings of the 1st World Congress on Industrial Process Tomography, p474477, Buxton, Derbyshire, 1999. Reprint
 K. Jerbi, W.R.B. Lionheart, P.J. Vauhkonen, M. Vauhkonen Sensitivity
Matrix and Reconstruction Algorithm for EIT assuming axial uniformity, Physiological Meas, Volume 21, Issue 1 (
2000), p6166
DOI: 10.1088/09673334/21/1/308
MIMS eprint: 2013.54
 N. Kerrouche, CN McLeod, WRB Lionheart, Time series of EIT chest images
using singular value decomposition and Fourier transform,
Physiol. Meas. 22 No 1 (February 2001) 147157
DOI: 10.1088/09673334/22/1/318
MIMS eprint: 2015.37
 M Vauhkonen, W R B Lionheart, L M Heikkinen, P J Vauhkonen and J P Kaipio, A MATLAB package for the EIDORS project to reconstruct
twodimensional EIT images, Physiol. Meas. 22 No 1 (February 2001) 107111
 Andrea Borsic, Chris McLeod, William Lionheart, Nacer Kerrouche, Realistic 2D human thorax modelling for EIT, Physiol. Meas. 22 No 1 (February 2001) 7783
DOI: 10.1088/09673334/22/1/310
 William R B Lionheart, Jari Kaipio and Christopher N McLeod ,
Generalized optimal current patterns and electrical safety in EIT, Physiol. Meas. 22 No 1 (February 2001) 8590
ArXiV preprint: physics/0003094
Papers in the Proceedings of the 2nd World Congress on
Industrial Process Tomography, Hannover, Germany
Wednesday 29th to Friday 31st August 2001

Reconstruction Algorithms for Permittivity and Conductivity Imaging
(key note) W R B Lionheart,
MIMS eprint: 2008.43 Page 4 11
 Custom Silicon for Finite Element Modelling
M Komarudin, T A York, W R B Lionheart
Page 272
 Considerations in Electrical Impedance Imaging
N Polydorides, W R B Lionheart, H McCann
Page 387
 Total Variation Regularisation in EIT Reconstruction
A Borsic, C N McLeod, W R B Lionheart
Page 433
 Polydorides, N. Lionheart, W.R.B. McCann, H, (2002) Krylov subspace iterative techniques: on the detection of brain activity with electrical impedance tomography. IEEE Trans Med Imaging, 21, 596 603
DOI: 10.1109/TMI.2002.800607 PubMed MIMS eprint: 2006.240
 Borsic A., Lionheart W.R.B., McLeod, C.N, (2002) Generation of anisotropicsmoothness regularization filters for EIT, IEEE Trans Med Imaging, 21, 579 587
DOI: 10.1109/TMI.2002.800611 MIMS eprint: 2006.243
 Polydorides N, Lionheart WRB, A Matlab toolkit for threedimensional electrical impedance tomography:
a contribution to the Electrical Impedance and Diffuse Optical
Reconstruction Software project, Meas. Sci. Technol. 13 (December 2002) 18711883
DOI: 10.1088/09570233/13/12/310
 Y Z Ider, S Onart and W R B Lionheart, Uniqueness and reconstruction in magnetic resonance electrical impedance tomography (MR EIT), Physiol. Meas. 24 No 2 (May 2003) 591604.
DOI: 10.1088/09673334/24/2/368 PubMed MIMS eprint: 2006.242
Papers in the Proceedings of the 3rd World Congress on
Industrial Process Tomography,Banf, Canada, 2nd5th Sept 2003
 Prototype Hardware for Finite Element Modelling
M Komarudin, W R B Lionheart, T A York, p2026,
Reprint

Non Iterative Inversion Method for Electrical Resistance, Capacitance and Inductance
Tomography for Two Phase Materials
A Tamburrino, G Rubinacci, M Soleimani, W R B Lionheart, p233238
Reprint

Sensitivity Analysis of 3D Magnetic Induction Tomography (MIT)
W R B Lionheart, M Soleimani, A J Peyton, p239244
Reprint
 Image Reconstruction in 3D Magnetic Induction Tomography using a FEM Forward
Model
M Soleimani, W R B Lionheart, A J Peyton, X Ma, p252255
Reprint

Forward Problem in 3D Magnetic Induction Tomography (MIT)
M Soleimani, W R B Lionheart, C H Riedel, O Dossel, p275280
Reprint

Adjoint Formulations in Impedance Imaging
N Polydorides, W R B Lionheart, p689694
Reprint

Process Compliant Electrical Impedance Instrumentation for Wide Scale Exploitation on
Industrial Vessels
B D Grieve, J L Davidson, R Mann, W R B Lionheart, T A York, p806812
Reprint

Higson SR, Drake P, Stamp DW, Peyton A, Binns R, Lionheart W, Lyons A
Development of a sensor for visualization of steel flow in the continuous casting mould, Rev. Met. Paris, No 6 (June 2003), pp. 629632. Abstract
DOI: 10.1051/metal:2003125 
Lionheart WRB, Geometric methods for anisotopic inverse boundary value problems,
in New Analytic and Geometric Methods in Inverse Problems,
Lectures given at the EMS Summer School and Conference held in Edinburgh, Scotland 2000,
Edited by Kenrick Bingham,
Yaroslav V. Kurylev, and
Erkki Somersalo, Springer 2003, 237252.
MIMS eprint: 2006.411
Zbl: 1067.35149
MathSciNet: 2005a:35280 Amazon.com ISBN: 3540406824 Google books
R Bayford, WRB Lionheart, Editors: SPECIAL ISSUE: Biomedical Applications of Electrical Impedance Tomography  EIT 2003, Physiological Measurement, Feb 2004.

WRB Lionheart, Review: Developments in EIT reconstruction algorithms: pitfalls, challenges and recent developments, Physiol. Meas. 25 (February 2004) 125142
Abstract Cited by...
DOI: 10.1088/09673334/25/1/021 ArXiV preprint: physics/0310151 PubMed
Papers in the proceedings of the
International Conference on Electrical Bioimpedance and Electrical Impedance Tomography, 2024 June, 2004, Gdansk, Poland. Editors
Antoni Nowakowski et al

Rank Analysis of the Anisotropic Inverse Conductivity Problem
J.P.J. Abascal, W.R.B. Lionheart 511514
MIMS eprint: 1080 
BayesMCMC Reconstruction from 3D EIT Data Using a Combined Linear and
NonLinear Forward Problem Solution Strategy
M. Soleimani, R.G. Aykroyd, R.M. West, S. Meng, W.R.B. Lionheart, N. Polydorides
pp. 479482

Simultaneous reconstruction of the boundary shape and conductivity in 3D electrical impedance tomography M. Soleimani, Juan Felipe P. J. Abascal, WRB Lionheart 475478

Feasibility study of 3D permeability reconstruction using magnetostatic permeability tomography M. Soleimani, W.R.B. Lionheart 539542

Improvement of the electrical capacitance tomography imaging using total variation regularisation M. Soleimani, W.R.B. Lionheart 543546

Reconstruction of shape of inclusions in electrical resistance capacitance tomography using level set method M. Soleimani, W.R.B. Lionheart, O. Dorn 547550

Image reconstruction in magnetic induction tomography using a regularized Gauss Newton method M. Soleimani, W.R.B. Lionheart 551554

Hammer, H, Lionheart, B,
Application of Sharafutdinov's ray transform in integrated photoelasticity
J Elasticity 75 (3): 229246 Jun 2004
ArXiV preprint: physics/0309090 Zbl: 1084.74019 MathSciNet: 2006c:53082
DOI: 10.1007/s1065900471911 
M Soleimani, WRB Lionheart, Magnetostatic permeability tomography in
material inspection, In Proc., 7th Biennial ASME Conference Engineering
Systems Design and Analysis, ESDA 04.

M Soleimani, WRB Lionheart, A J Peyton, X Ma , Molten metal flow
visualization using mutual inductance tomography , In Proc., 7th Biennial
ASME Conference Engineering Systems Design and Analysis, ESDA 04.

Steele; Philip, Cooper; Jerome, Lionheart; William, Throughlog density detector, US Patent No. 6,784,672 August 31, 2004 (Filed June 17, 2002).
 Rachel A Tomlinson, Hanno Hammer, and William R B Lionheart,
The development of a novel method for tomographic photoelasticity,
ICEM12 12th International Conference on Experimental Mechanics
29 August  2 September, 2004 Politecnico di Bari, Italy,
ICTP Eprint

Hammer, H, Lionheart, WRB,
Reconstruction of spatially inhomogeneous dielectric tensors through optical tomography
J Opt Soc America A 22 (2): 250255 FEB 2005
Abstract
DOI: 10.1364/JOSAA.22.000250 MathSciNet: 2005m:44003 
W Lionheart, N.Polydordes and A Borsic, The reconstruction problem, Part 1 of Electrical Impedance Tomography: Methods, History and Applications,
(ed) D S Holder, Institute of Physics, p364, 2004. ISBN: 0750309520 .
Book review
Amazon.com MIMS eprint: 2006.421 Google Books
 MS Joshi and WRB Lionheart, An inverse
boundary value problem for harmonic differential forms, Asymptotic Analysis 41(2), 2005, p93106.
Comments and errata
Zbl: 1068.35185 MathSciNet: 2006a:35313 MIMS eprint: 2006.388 ArXiV preprint: math.AP/9911212
 Manuchehr Soleimani and William R. B. Lionheart, Image Reconstruction in ThreeDimensional Magnetostatic Permeability Tomography, 12741297, IEEE Trans. Magnetics, Vol 41, No. 4, 2005
DOI: 10.1109/TMAG.2005.845158 reprint

M.Soleimani and WRB Lionheart, Nonlinear image reconstruction for electrical capacitance tomography using experimental data, Meas Sci Tech
vol 16 pp19871996, 2005.
DOI: 10.1088/09570233/16/10/014 
C van Berkel and WRB Lionheart, Electrostatic object reconstruction in a half space,
Proceedings of the 5th International Conference on Inverse Problems in Engineering: Theory and Practice, Cambridge, UK, 1115th July 2005. Chapter V01, Editor D Lesnic, Leeds University Press.
preprint

M. Soleimani, W.R.B. Lionheart, A.J Peyton, X. Ma , Inverse
finite element method applied to magnetic inductance tomography
experimental data, Proc. 4th World Congress on Industrial Process
Tomography, Aizu, Japan, pages 10541059, 2005.

B D Grieve, W R B Lionheart, T A York, The Industrial Application of EIDORS3D within Fine Chemicals Processing and Formulations Technology,
Proc. 4th World Congress on Industrial Process
Tomography, Aizu, Japan, pages 243248, 2005.

J L Davidson, B D Grieve, L S Ruffino, W R B Lionheart, K Primrose, R Mann, T A York,
Electrical Impedance Tomography Applied to LargeScale Production Filtration using a Planar Sensor Architecture,
Proc. 4th World Congress on Industrial Process
Tomography, Aizu, Japan, pages 279284, 2005

D R Stephenson, J L Davidson, W R B Lionheart, B D Grieve, T A York,
Comparison of 3D Image Reconstruction Techniques using Real Electrical Impedance Measurement Data,
Proc. 4th World Congress on Industrial Process
Tomography, Aizu, Japan, pages 643650, 2005
MIMS eprint: 2009.11

M. Soleimani, W.R.B. Lionheart, O. Dorn
Level set reconstruction of conductivity and permittivity from boundary electrical measurements using expeimental data,
Inverse Problems in Science and Engineering
Vol 14 No 2, pages 193210 , March 2006.
DOI: 10.1080/17415970500264152 MIMS eprint: 2006.363 
H Woo, S Kim, J K Seo, W R B Lionheart and E J Woo,
A direct tracking method for a grounded conductor inside a pipeline from capacitance measurements,
Inverse Problems, 22,481494 2006
DOI: 10.1088/02665611/22/2/006 Zbl: 05021727 MathSciNet: 2006k:78017 MIMS eprint: 2007.150 
A Adler and W R B Lionheart,
Uses and abuses of EIDORS: An extensible software base for EIT, Physiol Meas
27, S25S42, 2006.
DOI: 10.1088/09673334/27/5/S03 PubMed
MIMS eprint: 2008.25 
M. Soleimani, O Dorn, WRB Lionheart,
A Narrowband Level Set Method Applied to
EIT in Brain for Cryosurgery Monitoring,
IEEE Trans. Biomed. Eng.,
vol 53,
no 11, pp 22572264, 2006.
DOI: 10.1109/TBME.2006.877112
PubMed 
Manuchehr Soleimani, William R. B. Lionheart, Antony J. Peyton, Xiandong Ma, and Stuart R. Higson,
A ThreeDimensional Inverse FiniteElement Method Applied to Experimental EddyCurrent Imaging Data,
IEEE Trans. Mag, Vol 42, No. 5, pp. 15601567, May 2006.
DOI: 10.1109/TMAG.2006.871255 
Robert M West, Manuchehr Soleimani, Robert G Aykroyd, and William RB Lionheart
Speed Improvement of MCMC Image Reconstruction in Tomography by Partial Linearization
International Journal of Tomography & Statistics, Vol. 4, No. S06, 1323, 2006.
Zbl: pre05244620
 P. H. Steele , J. E. Cooper, B. K. Mitchell, C. Boden and W. R. B. Lionheart,
EIT Detection of Juvenile and Knot Wood in Southern Pine Trees, IAI01,
5th World Congress on Industrial Process Tomography, Bergen, Norway, 3rd6th September 2007.

RG Aykroyd, M Soleimani and WRB Lionheart,
Conditional Bayes reconstruction for ERT data using resistance monotonicity information,
Meas. Sci. Technol. 17 24052413, 2006.
DOI: 10.1088/09570233/17/9/006
 Manuchehr Soleimani, William R. B. Lionheart,
Absolute Conductivity Reconstruction in Magnetic Induction Tomography Using a Nonlinear Method,
IEEE Trans Medical Imaging, 2006,25, 15211530
DOI: 10.1109/TMI.2006.884196
PubMed

Ma X, Peyton AJ, Soleimani M, Lionheart, WRB, 2006 IEEE Instrumentation and Measurement technology conference
proceedings, Vols 15, 299303, 2006

Higson, S.R. Drake, P. Lyons, A. Peyton, A. Lionheart, B.
Electromagnetic visualisation of steel flow in continuous casting nozzles
Ironmaking & Steelmaking, Volume 33, Number 5, October 2006 , pp. 357361(5)
DOI: 10.1179/174328106X149897
 Cees van Berkel and William R B Lionheart, An iterative method for electrostatic object reconstruction in a half space, Meas. Sci. Technol. 18 4148, 2007
DOI: 10.1088/09570233/18/1/005

Cees van Berkel and William R B Lionheart
"Reconstruction of a grounded object in an electrostatic halfspace with an
indicator function", Inverse Problems in Science and Engineering, Volume 15, Issue 6 January 2007 , pages 585  600
DOI: 10.1080/17415970600903873
MIMS eprint: 2007.149 , MathSciNet: 2008h:35362
 WRB Lionheart and CJP Newton, Analysis of the inverse problem for determining nematic liquid
crystal director profiles from optical measurements using singular value decomposition.
New J. Phys. 9 (2007) 63.
DOI: 10.1088/13672630/9/3/063
MIMS eprint: 2006.420
 A Adler, T Dai, WRB Lionnheart, Temporal image reconstruction in electrical impedance tomography,
Physiol. Meas. 28 (2007) S1S11.
DOI: 10.1088/09673334/28/7/S01
 J F PerezJuste Abascal , Simon R Arridge, W R B Lionheart, R H Bayford and D S Holder,
Validation of a finite element solution for electrical impedance tomography in an anisotropic medium, Physiol. Meas. 28 S129S140(2007) .
DOI: 10.1088/09673334/28/7/S10
 Storteig; Eskild, Lionheart; William R.B. Current prediction in seismic surveys,
United States Patent Application 20070127312, June 7, 2007
 M. Soleimani, W.R.B Lionheart, A. J. Peyton, Image reconstruction for high contrast conductivity imaging in mutual induction tomography for industrial applications, IEEE Trans. Ins. & Meas., vol. 56, no. 5, pages 20242032, 2007.
DOI: 10.1109/TIM.2007.895598
 Cooper, J., P. Steele, B. Mitchell, C. Boden and W. Lionheart. 2007. Detecting Juvenile and Knot Wood in Southern Pine Logs with Electrical Impedance Tomography. Pages 1626 in proceedings of the 12th International Conference on Scanning Technology and Process Optimization in the Wood Industry. Wood Machining Institute. Atlanta, GA.
 Jia Liu, W. T. Hewitt, W.R.B. Lionheart, J Montaldi and M. Turner, A Lemon is not a Monstar: visualization of singularities of symmetric second rank tensor fields in the plane.
Eurographics UK Theory and Practice of Computer Graphics (2008)
Ik Soo Lim, Wen Tang (Editors), p99106
MIMS eprint: 2008.53

Andy Adler, John Arnold, Richard Bayford, Andrea Borsic, Brian Brown,
Paul Dixon, Theo J.C. Faes, Inez Frerichs, Herve Gagnon,
Yvo Garber, Bartlomiej Grychtol, Gunter Hahn, William R B Lionheart,
Anjum Malik, Janet Stocks, Andrew Tizzard, Norbert Weiler, Gerhard Wolf
, GREIT: towards a consensus EIT algorithm for
lung images, Proceedings of the EIT conference 2008, Dartmouth College, NH, p4851, 2008.
MIMS eprint: 2008.62
 Jerome E Cooper, Philip H Steele, Brian K Mitchell, Craig Boden and
William R B Lionheart,
Detecting Juvenile Wood in Southern Pine Logs with
Brush Electrodes,
Proceedings of the EIT conference 2008, Dartmouth College, NH, p142145, 2008
MIMS eprint: 2008.63
 Alistair Boyle , William R.B. Lionheart , Camille GomezLaberge , Andy Adler, Evaluating Deformation Corrections in Electrical Impedance Tomography, Proceedings of the EIT conference 2008, Dartmouth College, NH, p175178, 2008
MIMS eprint: 2008.65

Andy Adler, Andrea Borsic, Nick Polydorides, William R B Lionheart, Simple FEMs aren't as good as we thought:
experiences developing EIDORS v3.3, Proceedings of the EIT conference 2008, Dartmouth College, NH, p179182, 2008
MIMS eprint: 2008.64

Andy Adler, Richard Youmaran, William R B Lionheart,
A measure of the information content of EIT data,
Physiol Meas, 29:S101S109, 2008. (Featured article)
DOI: 10.1088/09673334/29/6/S09
MIMS eprint: 2008.52
 Nick Polydorides, Eskild Storteig, William Lionheart, Forward and Inverse Problems in Towed Cable Hydrodynamics, Ocean Engineering,
Volume 35, Issues 1415, October 2008, Pages 14291438
DOI: 10.1016/j.oceaneng.2008.07.001
MIMS eprint: 2008.73
 WRB Lionheart, X Ma and A Peyton, Electromagnetic detection system for
detecting presence of e.g. gun, has processing system processing measurement to
generate data set characterizing detection area, and generators and detectors
mounted on support unit, Patent numbers, WO2008087385A2; EP2108132A2;
GB2459790A; CA2675587A1; WO2008087385A3; WO2008087385A8; CN101688925A;
US2010207624A, 2008.
 N Polydorides, E Storteig, W Lionheart, Ocean current prediction in towed cable hydrodynamics under dynamic steering, Inverse Problems in Science and Engineering, Volume 17, Issue 5, 2009, Pages 627 – 645
DOI: 10.1080/17415970802390010
MIMS eprint: 2008.74
 Romina Gaburro and William R.B.Lionheart, Recovering Riemannian metrics in
monotone families from boundary data, Inverse Problems, Vol 25, Issue 4, 045004 (14pp), 2009
DOI: 10.1088/02665611/25/4/045004
MIMS eprint: 2008.71

Andy Adler , John H. Arnold , Richard Bayford , Andrea
Borsic , Brian Brown , Paul Dixon , Theo J.C. Faes , Inez
Frerichs , Herve Gagnon , Yvo Gorber , Bartlomiej Grychtol, Gunter Hahn, William R B Lionheart1, Anjum Malik, Robert P. Patterson, Janet Stocks, Andrew
Tizzard, Norbert Weiler, Gerhard K. Wolf,
GREIT: a unified approach to 2D linear EIT reconstruction of lung images, Physiol Meas, 30, S35S55, 2009
DOI: 10.1088/09673334/30/6/S03
Preprint
 Vladimir Sharafutdinov and William Lionheart, Reconstruction algorithm for the polarization tomography problem with incomplete data, in
Imaging Microstructures: Mathematical and Computational Challenges,
Edited by Habib Ammari and Hyeonbae Kang, Contemporary Mathematics, Volume: 494, p137160, 2009
MIMS eprint: 2008.75

Andrea Borsic, Brad M. Graham, Andy Adler, William R. B. Lionheart
Total Variation Regularization in Electrical Impedance Tomography,
IEEE TMI, 29, 1, 44  54 , 2010.
DOI: 10.1109/TMI.2009.2022540
Nearly final draft
MIMS eprint: 2007.92 (Very old version)
 Nicola Wadeson, Edward Morton and William Lionheart Scatter in an uncollimated xray CT machine based on a Geant4 Monte Carlo simulation. In: SPIE Medical Imaging 2010: Physics of Medical Imaging, 1518 February 2010, San Diego, USA.
MIMS eprint: 2010.66
 William R. B. Lionheart and Kyriakos Paridis, Finite Elements and
Anisotropic EIT reconstruction. In: 14th International Conference on Electrical
Bioimpedance and the 11th Conference on Biomedical Applications of EIT, 48 Apr
2010, Gainesville, FL, USA. Journal of Physics: Conference Series, vol. 224, no.
1, p. 012022, 2010.
MIMS eprint: 2010.35
DOI: 10.1088/17426596/224/1/012022
 Kyriakos Paridis and William R. B. Lionheart, Shape corrections for 3D
EIT. In: 14th International Conference on Electrical Bioimpedance and the 11th
Conference on Biomedical Applications of EIT, 48 Apr 2010, Gainesville, FL,
USA. Journal of Physics: Conference Series, vol. 224, no. 1, p. 012049, 2010.
MIMS eprint: 2010.34
DOI: 10.1088/17426596/224/1/012049
 Andy Adler and William R B Lionheart, Correcting for variability
in mesh geometry in finite element models, Journal of Physics: Conference
Series, vol. 224, no. 1, p. 012021, 2010
DOI: 10.1088/17426596/224/1/012021
 F. A. Kotasidis, G.I. Angelis J. C. Matthews, W. R. Lionheart, A. J.
Reader, Space variant PSF parameterization in image space using printed
point source arrays on the HiRez PET/CT; Imaging Systems and
Techniques Conference Record, 2010 pp. 129  134
DOI: 10.1109/IST.2010.5548459
MIMS eprint: 2015.43

Andy Adler, Romina Gaburro, William Lionheart, EIT, chapter in
Handbook of Mathematical Methods in Imaging, O Scherzer, SpringerVerlag,
2011.

M Betcke, WRB Lionheart EJ Morton,
Xray tomography system i.e. realtime tomography system, for generating
threedimensional image of object, has controller generating threedimensional
image from reconstructed images on surface
Patent Number: WO2011008787A1, 2011.

JuanFelipe P. J. Abascal , William R. B. Lionheart ,
Simon R. Arridge, Martin Schweiger , David Atkinson ,
and David S. Holder
Electrical impedance tomography in anisotropic
media with known eigenvectors,
Inverse Problems
27 065004 DOI: 10.1088/02665611/27/6/065004
 Andy Adler, William Lionheart, Minimizing EIT image artefacts from mesh variability in Finite
Element Models, Physiological Measurement,
32 (2011) 823834.
DOI: 10.1088/09673334/32/7/S07
 G I Angelis, A J Reader, F A Kotasidis, W R Lionheart and J C Matthews
The performance of monotonic and new nonmonotonic gradient ascent reconstruction algorithms for highresolution neuroreceptor PET imaging
2011 Phys. Med. Biol. 56 3895
DOI: 10.1088/00319155/56/13/010
 FA Kotasidis, JC Matthews, GI Angelis, PJ Noonan, A Jackson, P Price, WR Lionheart and AJ Reader, Single Scan Parameterization of SpaceVariant Point Spread Functions in Image Space via a Printed Array: Impact for two PET/CT Scanners.2011, Physics in Medicine and Biology, 56. 29172917
DOI: 10.1088/00319155/56/10/003 .
MIMS eprint: 2015.31

WRB Lionheart, K Paridis, A Adler, Resistor networks and transfer resistance matrices, Proceedings
13th International Conference on Biomedical Applications of Electrical Impedance Tomography, May 2325, 2012, Tianjin, China.

J. L. Davidson, R. A. Little P. Wright, M. Crabb, J. Naish, A. Morgan, G. J. M. Parker, W. R. B. Lionheart, R. Kikinis and H. McCann
, MRIinformed functional EIT lung imaging,
Proceedings
13th International Conference on Biomedical Applications of Electrical Impedance
Tomography, May 2325, 2012, Tianjin, China.

M. G. Crabb, J. L. Davidson, R. Little, P. Wright, J. H . Naish, G. J. M. Parker, H. McCann and W. R. B. Lionheart, Accounting for electrode movement in MRIinformed functional EIT lung imaging,
100 Years of Electrical Imaging, p8386,
Editors Herve Chauris, Andy Adler, William Lionheart, Presses des Mines, Collction Sciences de la Terre et de l'Environmnet, Paris 2012,
ISBN: 2911256875

T.A. Khairuddin and W. R. B. Lionheart, Do electrosensing fish use the first order polarization tensor for object characterization?,
100 Years of Electrical Imaging, p149
Editors Herve Chauris, Andy Adler, William Lionheart, Presses des Mines, Colletion Sciences de la Terre et de l'Environmnet, Paris 2012,
ISBN: 2911256875
 Bartlomiej Grychtol, William R. B. Lionheart, Marc Bodenstein, Gerhard K. Wolf, and Andy Adler,
Impact of Model Shape Mismatch on Reconstruction
Quality in Electrical Impedance Tomography, IEEE Trans Medical Imaging
31 , 9, 2012 , pp 17541760
DOI: 10.1109/TMI.2012.2200904
 Alistair Boyle, Andy Adler and William R. B. Lionheart, Shape Deformation in TwoDimensional
Electrical Impedance Tomography, IEEE Trans Medical Imaging. 2012 Jun 12.
DOI: 10.1109/TMI.2012.2204438
 Georgios I Angelis, Fotis A Kotasidis, Julian C Matthews, Pawel J Markiewicz, William R Lionheart, Andrew J Reader,
Full field spatiallyvariant imagebased resolution modelling reconstruction for the HRRT, Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC), 2012 IEEE, pp34343438, article

William M Thompson, William RB Lionheart and Edward J Morton, RealTime imaging with a high speed XRay CT system. In: 6th International Symposium on Process Tomography, 26  28 March 2012, Cape Town, South Africa.
MIMS eprint: 2012.36
 WM Thompson, WRB Lionheart, EJ Morton, Highspeed dynamic imaging with a real time tomography system, Proceedings of the Second International Conference on
Image Formation
in XRay Computed Tomography, June 2427, 2012, Salt Lake City, Utah, USA
, p99102.
MIMS eprint: 2015.45
 GI Angelis, AJ Reader, PJ Markiewicz, FA Kotasidis, WR Lionheart, JC Matthews, Acceleration of imagebased resolution modelling reconstruction using an expectation maximization nested algorithm,
2013 Phys. Med. Biol. 58 5061
DOI: 10.1088/00319155/58/15/5061

William M.Thompson, William R.B.Lionheart and Dan Oberg,
Reduction of Periodic Artefacts for a SwitchedSource Xray CT Machine by Optimising the Source Firing Pattern, The 12th International Meeting on Fully ThreeDimensional Image Reconstruction in Radiology and Nuclear Medicine, 2013, p345348, Fully 3D proceedings
 M G Crabb, J L Davidson, R Little, P Wright, J H Naish, G J M Parker, R Kikinis, H McCann and W R B Lionheart,
Mutual information as a measure of reconstruction quality in 3D dynamic lung EIT, 2013 J. Phys.: Conf. Ser. 434 012082
DOI: 10.1088/17426596/434/1/012082
 Marta M Betcke and William R B Lionheart,
Multisheet surface rebinning methods for reconstruction from asymmetrically truncated cone beam projections: I. Approximation and optimality, 2013 Inverse Problems 29 115003
DOI: 10.1088/02665611/29/11/115003
 Marta M Betcke, and William R B Lionheart,
Multisheet surface rebinning methods for reconstruction from asymmetrically truncated cone beam projections: II. Axial deconvolution, 2013 Inverse Problems 29 115004
DOI: 10.1088/02665611/29/11/115004
 : S.B. Coban and W.R.B. Lionheart (2014) Regularised GMREStype Methods for XRay Computed Tomography. In: The Third International Conference on Image Formation in XRay Computed Tomography, 2225 June 2014, Salt Lake City, Utah, USA.
MIMS eprint: 2015.31

D Kazantsev, WRB Lionheart, PJ Withers, and PD Lee,
Multimodal Image Reconstruction Using Supplementary Structural Information in Total Variation Regularization, Sensing and Imaging,
DOI: 10.1007/s1122001400975 
PD Ledger and WRB Lionheart, The perturbation of electromagnetic fields at distances that are large compared with the object's size IMA J Appl Math, 2014
DOI: doi:10.1093/imamat/hxu009  D Kazantsev, S Ourselin, BF Hutton, KJ Dobson, AP Kaestner, WRB Lionheart, PJ Withers, PD Lee, SR Arridge, A novel technique to incorporate structural prior information into multimodal tomographic reconstruction, Inverse Problems, Vol 30 , 065004, 2014
DOI: 10.1088/02665611/30/6/065004  M G Crabb, JL Davidson, R Little, P Wright, AR Morgan, CA Miller, JH Naish, GJM Parker, R Kikinis, H McCann and WRB Lionheart, Mutual information as a measure of image quality for 3D dynamic lung imaging with EIT, Physiol. Meas., Vol 35, 863, 2014
DOI: 10.1088/09673334/35/5/863 Open Access
 FA Kotasidis,
GI Angelis, J AntonRodriguez, P Markiewicz, WR Lionheart, AJ Reader, JC Matthews,
ImageBased Spatially Variant and Count Rate Dependent Point Spread Function on the HRRT,
IEEE Trans Nuclear Science, 11921202 , Vol 61, 2014
DOI: 10.1109/TNS.2014.2321613
 W R B Lionheart and P J Withers, Diffraction Tomography of Strain, Inverse Problems 31 2015, 045005
DOI: 10.1088/02665611/31/4/045005 (Open Access)
 D Kazantsev, W. M. Thompson, W. R. B. Lionheart, G. Van Eyndhoven, A. P. Kaestner, K. J. Dobson, P. J. Withers and P. D. Lee,
4DCT reconstruction with unified spatiotemporal patchbased regularization,
Inverse Problems and Imaging, Vol. 9, No. 2, pp 447467, May 2015.
DOI: 10.3934/ipi.2015.9.447
 William M Thompson, William RB Lionheart, Edward J Morton, Mike Cunningham and Russell Luggar, High Speed Imaging of Dynamic Processes with a Switched Source Xray CT System, Measurement Science and Technology 26 055401 2015
DOI: 10.1088/09570233/26/5/055401
 D. Kazantsev, G. Van Eyndhoven, W. R. B. Lionheart , P. J. Withers, R. Atwood and P. D. Lee, Employing temporal selfsimilarity across the entire time domain in CT reconstruction. Proceedings of the Royal Society A, 4 May 2015
DOI: 10.1098/rsta.2014.0389
 Paul D.Ledger and William R.B. Lionheart, Characterising the shape and material properties of hidden targets from magnetic induction, IMA J Applied Math, 2015. (open access)
DOI: 10.1093/imamat/hxv015
MIMS eprint: 2013.57 .
 P.D. Ledger, W.R.B. Lionheart, Understanding the Magnetic Polarizability Tensor, IEEE Trans. Mag. 52:5, May 2016.
DOI: 10.1109/tmag.2015.2507169
ArXiV preprint: 1510.01356
 Naeem M. Desai, William R.B. Lionheart, An explicit reconstruction algorithm for the transverse ray transform of a second rank tensor field from three axis data, Inverse Problems
32 115009 ,2016
DOI: 10.1088/02665611/32/11/115009
ArXiV preprint: 1511.05305

Taufiq Ahmad Khairuddin, William R B Lionheart,
Characterization of objects by electrosensing fish based on the first order polarization tensor, Bioinspiration and Biomimetics, 11, 055004, 2016
DOI: 10.1088/17483190/11/5/055004
MIMS eprint: 2016.38

D Kazantsev, E Ovtchinnikov, PJ Withers, WRB Lionheart, PD Lee, Sparsity seeking total generalized variation for undersampled tomographic reconstruction
Biomedical Imaging (ISBI), 2016 IEEE 13th International Symposium on, 731734
DOI: 10.1109/ISBI.2016.7493370

D Kazantsev, E Guo, A Kaestner, WRB Lionheart, J Bent, PJ Withers,
Temporal sparsity exploiting nonlocal regularization for 4D computed tomography reconstruction
Journal of Xray science and technology, 113, 2016
Full text

JM Warnett, V Titarenko, E Kiraci, A Attridge, WRB Lionheart, PJ Withers,
Towards inprocess xray CT for dimensional metrology, Measurement Science and Technology 27 (3), 035401,2016
DOI: 10.1088/09570233/27/3/035401
 JS Jørgensen, SB Coban, WRB Lionheart, PJ Withers, Effect of sparsity and exposure on total variation regularized Xray tomography from few projections, Proceedings of the the 4th International Conference on Image Formation in Xray Computed Tomography.
Preprint at DTU
 Inez Frerichs, Marcelo BP Amato, Anton H van Kaam, David G Tingay, Zhanqi Zhao, Bartlomiej Grychtol, Marc Bodenstein, Herve Gagnon, Stephan H Bohm, Eckhard Teschner, Ola Stenqvist, Tommaso Mauri, Vinicius Torsani, Luigi Camporota, Andreas Schibler, Gerhard K Wolf, Diederik Gommers, Steffen Leonhardt, Andy Adler, Eddy Fan, William RB Lionheart, Thomas Riedel, Peter C Rimensberger, Fernando Suarez Sipmann, Norbert Weiler, Hermann Wrigge, TREND study group
Chest electrical impedance tomography examination, data analysis, terminology, clinical use and recommendations: consensus statement of the TRanslational EIT developmeNt stuDy group,
Thorax,
thoraxjnl2016208357, 2016
DOI: 10.1136/thoraxjnl2016208357
 Romina Gaburro and William Lionheart, Determining the absorption in
anisotropic media, MIMS preprint and submitted to Inverse Problems and Imaging.
MIMS eprint: 2010.89
 James Webber and William Lionheart, Three dimensional Compton scattering tomography , Submitted to Inverse Problems
Data sets and code
In a movement towards Open Science I am trying whenever possible to make data and source code used in published work accissibe in a way that is properly archived and citable. Here is what I have so far.
 Lionheart, William R.B.. (2015). An MRI DICOM data set of the head of a normal male human aged 52. Zenodo.
DOI: 10.5281/zenodo.16956
Some coauthors
Here are some of my coauthors and collaborators and their last known locations. Especially those who have moved and might be harder to find. Please email me any updates.
 Juan Felipe PerezJuste Abascal, finished his PhD in late 2006 in the UCL EIT group. He still has too many names making him especially hard to find.
He is currently at CNRS, Biomedical Imaging Research Lab (CREATIS), Villeurbanne, France, where he is working on sepctral CT
 Andy Adler, Dept of Systems and Computer Engineering Carleton University, Ottawa Canada.
 Richard Bayford, School of Health and Social Sciences University of Mdx. (sorry for the abbreviation!)
 Richard Booth rfbooth.com
 Andera Borsic, Thayer School of Engineering Dartmouth College.
 Romina Gaburro, Department of Mathematics and Statistics University of Limerick, Ireland.
 Karim Jerbi, Cognitive Neuroscience
and Brain Imaging Lab, CNRS UPR640LENA, Paris. (see list of members)
 Mark Joshi, Dept of Economics University of Melbourne.
 Jari Kaipio is now in the Department of Mathematics University of Auckland, New Zealand.
 Yaroslav (Slava) Kurylev is at the Department of Mathematics of University College London.
 Jia Liu is at the Medical and Biological Engineering Research Group, University of Hull,
 Chris Mcleod Institute of Biomedical Engineering, Imperial College, London
 Dale Murphy is currently Deputy ViceChancellor at Swinburne University of Technology in Australia.
 Kevin Paulson, Department of Engineering University of Hull
 Nicholas Polydorides (aka Nick Polydorides), is now at Edinburgh University
.
 Manuchehr Soleimani, Elec Eng, University of Bath.
 Andrew Seagar is now at School of Engineering, Griffith
University , Australia
 Erkki Somersalo is now at Mathematics Department of Case Western Reserve University in Cleveland, Ohio, USA
 Vladimir Sharafutdinov is at the Sobolev Institute of Mathematics, Novosibirsk State University.
 David Stephenson is with Hull Research and Technology Centre, BP Chemicals.
 Eskild Storteig as of (2007) is at Validus Engineering
 Rachel Tomlinson Dept of Mechanical Engineering University of Sheffield.
 Marko Vauhkonen Department of Physics University of Kuopio.
 Robert West Leeds Institue of Genetics Health and Theraputics
Popular and magazine articles
 W.R.B. Lionheart, Inverse problems in industry, Mathematics Today, vol 44 no 1, Feb 2008, p2426
MIMS eprint: 2008.27
Some theses
Some theses by me and my students
 David Szotten, Limited Data Problems in Xray and Polarized Light Tomography
 Reconstruction of Grounded Objects from Cauchy Data on a Plane, Cornelis (Cees) van Berkel, PhD thesis University of Manchester 2008
 Image and Shape Reconstruction methods in Magnetic Induction Tomograph Manuchehr Soleimani, PhD Thesis, University of Manchester, 2005. It is 20M Bytes so may take a while to download.
 Regularisation Methods for Imaging from Electrical Measurements Andrea Borsic, PhD Thesis, Oxford Brookes University, 2002.

Image Reconstruction Algorithms for SoftField Tomography by Nicholas Polydorides,
PhD Thesis, UMIST, 2002.

Electronics For RealTime And ThreeDimensional
Electrical Impedance Tomographs by Christopher William Lawrence Denyer
BSc MSc, PhD Thesis Oxford Brookes University 1996

Image Reconstruction in Electrical
Impedance Tomography by
W.R. Breckon,
PhD Thesis Oxford Polytechnic 1990