His primary areas of study are Iterative reconstruction, Electrical impedance tomography, Algorithm, Inverse problem and Mathematical analysis. His Iterative reconstruction research includes elements of Regularization, Total variation denoising, Tikhonov regularization and Mathematical optimization. His Electrical impedance tomography study combines topics from a wide range of disciplines, such as Image processing, Mathematical theory, Computer graphics and Artificial intelligence.
His Algorithm research incorporates elements of Reconstruction problem and Tomography. The various areas that William R. B. Lionheart examines in his Tomography study include Electrical measurements and Data collection. William R. B. Lionheart has included themes like Optical tomography, Jacobian matrix and determinant and Image quality in his Inverse problem study.
The scientist’s investigation covers issues in Iterative reconstruction, Electrical impedance tomography, Mathematical analysis, Tomography and Inverse problem. His Iterative reconstruction research is multidisciplinary, incorporating elements of Algorithm, Regularization and Finite element method. His Algorithm study integrates concerns from other disciplines, such as Reconstruction algorithm, Sensitivity, Mathematical optimization and Parametric statistics.
In his research on the topic of Electrical impedance tomography, Isotropy is strongly related with Geometry. Within one scientific family, William R. B. Lionheart focuses on topics pertaining to Tensor under Mathematical analysis, and may sometimes address concerns connected to Eddy current. As part of one scientific family, William R. B. Lionheart deals mainly with the area of Inverse problem, narrowing it down to issues related to the Optical tomography, and often Heavy traffic approximation.
His main research concerns Tomography, Mathematical analysis, Inverse problem, Eddy current and Optics. His studies deal with areas such as Computational physics, Iterative reconstruction, Detector and Diffraction as well as Tomography. His research integrates issues of Image resolution, Iterative method, Noise and Smoothing in his study of Iterative reconstruction.
In his research, Computer vision is intimately related to Algorithm, which falls under the overarching field of Image resolution. The concepts of his Mathematical analysis study are interwoven with issues in Reconstruction algorithm, Jacobian matrix and determinant, Monochromatic color and Tensor. His work deals with themes such as Optical tomography, Partial differential equation, Attenuation coefficient, Heavy traffic approximation and Lipschitz continuity, which intersect with Inverse problem.
William R. B. Lionheart focuses on Mathematical analysis, Iterative reconstruction, Eddy current, Inverse problem and Algorithm. His Mathematical analysis study combines topics in areas such as Reconstruction algorithm, Dielectric, Position and Wavenumber. His work in Position addresses subjects such as Fréchet derivative, which are connected to disciplines such as Electrical impedance tomography.
Artificial intelligence covers William R. B. Lionheart research in Iterative reconstruction. William R. B. Lionheart has researched Inverse problem in several fields, including Compton scattering, Torus, Monochromatic color, Ball and Attenuation. The study incorporates disciplines such as Function, Tomography and Detector in addition to Algorithm.
Uses and abuses of EIDORS: an extensible software base for EIT
Andy Adler;William R B Lionheart.
Physiological Measurement (2006)
GREIT: a unified approach to 2D linear EIT reconstruction of lung images.
Andy Adler;John H Arnold;Richard Bayford;Andrea Borsic.
Physiological Measurement (2009)
EIT reconstruction algorithms: pitfalls, challenges and recent developments
William R B Lionheart.
Physiological Measurement (2004)
A Matlab toolkit for three-dimensional electrical impedance tomography: a contribution to the Electrical Impedance and Diffuse Optical Reconstruction Software project
Nick Polydorides;William R B Lionheart.
Measurement Science and Technology (2002)
Nonuniqueness in diffusion-based optical tomography
Simon R. Arridge;William R. B. Lionheart.
Optics Letters (1998)
Chest electrical impedance tomography examination, data analysis, terminology, clinical use and recommendations: consensus statement of the TRanslational EIT developmeNt stuDy group
Inéz Frerichs;Marcelo B. P. Amato;Anton H. van Kaam;David G. Tingay.
A MATLAB package for the EIDORS project to reconstruct two-dimensional EIT images
M Vauhkonen;W R B Lionheart;L M Heikkinen;P J Vauhkonen.
Physiological Measurement (2001)
Nonlinear image reconstruction for electrical capacitance tomography using experimental data
Manuchehr Soleimani;William R B Lionheart.
Measurement Science and Technology (2005)
In Vivo Impedance Imaging With Total Variation Regularization
A. Borsic;B.M. Graham;A. Adler;W. Lionheart.
IEEE Transactions on Medical Imaging (2010)
RECOVERY OF REGION BOUNDARIES OF PIECEWISE CONSTANT COEFFICIENTS OF AN ELLIPTIC PDE FROM BOUNDARY DATA
V Kolehmainen;S R Arridge;W R B Lionheart;M Vauhkonen.
Inverse Problems (1999)
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