Oliver Dorn

RCUK Academic Fellow and Lecturer of Applied Mathematics

School of Mathematics, University of Manchester

Oxford Rd Manchester M13 9PL
Alan Turing Building Room 1.110

E-mail oliver.dorn@manchester.ac.uk 

Phone +44 161 306 3217

Fax +44 161 306 3669

 

Manchester, August 2009

 

Research Interests

Applied mathematics, scientific computing. I have been working recently on mathematical and computational aspects of nonlinear inverse problems and imaging. These problems are important in many practical applications, for example medical and geophysical tomography, remote sensing, or the non-destructive testing of materials. Typical mathematical and numerical tools which are used can also be found in related areas like integral geometry, large scale optimization, optimal control, image processing, or computer vision, to mention only a few. Examples of my current research interests are the application of the linear transport model to diffuse optical tomography and molecular imaging, time reversal mirrors and their use for imaging in deterministic and random media, microwave medical imaging, adjoint field inversion techniques for nonlinear inverse problems, history matching in reservoir characterization, 3D electromagnetic induction tomography, and level set techniques for shape reconstruction problems in 2D and 3D.

 

Education

1997 Doctorate in Applied Mathematics *

1993 'Diplom' in Mathematics *

1993 'Vordiplom' and Voluntary Oral 'Diplom' Exams in Physics *

 

* at the Westfälische Wilhelms-Universität,  Münster, Germany.

 

Special professional qualifications:

  • 2007: National Spanish Habilitation in Applied Mathematics.

 

Employment

  • Since 9/2008 RCUK fellow and Lecturer in Applied Mathematics, School of Mathematics, University of Manchester, UK.
  • Since 1/2008 Profesor Titular ('Associate Professor', tenured) Universidad Carlos III de Madrid, Madrid, Spain.
  • 9/2007-1/2008: Profesor Visitante, Universidad Carlos III de Madrid, Madrid, Spain (‘Visiting Professor’).
  • 9/2002-8/2007: Ramón y Cajal Investigator (‘Fellow and Assistant Professor’), Departamento de Matemáticas, Universidad Carlos III de Madrid, Madrid, Spain.
  • 9/2000-8/2002: Lecturer and Research Associate, Department of Computer Science, University of British Columbia, Vancouver, Canada.
  • 9/1999-8/2000: Visiting Scientist, Engineering Research Center for Subsurface Sensing and Imaging Systems, Northeastern University, Boston, MA, USA.
  • 6/1997-8/1999: Research Associate, Mathematics Department, Stanford University, Stanford, CA, USA.
  • 5/1993-5/1997: Assistant, Department of Numerical and Instrumental Mathematics, University of Münster, Germany.
  • 8/1987-8/1991:  Student assistant, Mathematics Department, University of Münster, Germany.

 

Visiting Research Positions

  • 2006 spring (2 months) Key participant at IMA Special Imaging Semester, IMA Minneapolis, USA.
  • 2005 spring (1 month) Invited Associate Professor at Université Paris XI, Orsay, France
  • 2004 summer (4 months) Chercheur Associé au CNRS, at Supélec, Gif-sur-Yvette, France.
  • 2003 fall (2 months) Key participant at IPAM Special Semester on Imaging, IPAM, UCLA, Los Angeles, USA.
  • 2001 fall (2 months) Key participant at MSRI Special Semester on Inverse Problems, MSRI, Berkeley, CA, USA.

 

Teaching

  • Fall/Winter 2008/2009, Supervision classes MATH 10202, School of Mathematics, University of Manchester, UK
  • Fall/Winter 2008/2009, MATH 45152 Inverse Problems and Imaging, School of Mathematics, University of  Manchester, UK
  • Fall/Winter 2007/2008, Undergraduate Course Análisis Numérico, UC3M, Coordinator of the course and lecturer of two groups (each group 60 hours and about 50 students).   Congratulation letter from the Vicerrectora de Grado for excellence in undergraduate teaching.
  • Spring 2007: Master's course 'Introduction in Inverse Problems and Imaging', UC3M (20 hours).
  • Fall/Winter 2006/2007, Undergraduate Course Análisis Numérico, UC3M, Coordinator of the course and lecturer of two groups (each group 60 hours and about 70 students).
  • Spring 2006, Graduate Course Nonlinear Inverse Problems and Tomography, UC3M.
  • Fall/Winter 2005/2006, Undergraduate Course Análisis Numérico, UC3M, Coordinator of the course and lecturer of two groups (each group 60 hours and about 70 students).
  • Spring 2005, Graduate Course Nonlinear Inverse Problems and Tomography, UC3M (20 hours).
  • Spring 2005, Graduate Course Introduction in Inverse Problems and Imaging, UC3M (20 hours)
  • Fall/Winter 2004/2005, Undergraduate Course Métodos Numéricos en Ingeniería, UC3M, Coordinator of the course and lecturer of two groups (each group 60 hours and about 70 students).
  • Spring 2004, Graduate Course Introduction in Inverse Problems and Imaging, UC3M (20 hours).
  • Fall/Winter 2001/2002, Undergraduate Course CPSC 303 Numerical Approximation and Discretization, University of British Columbia, Vancouver (40 hours)
  • Fall/Winter 2000/2001, Undergraduate Course CPSC 302 Numerical Computation for Algebraic Problems, University of British Columbia, Vancouver. (40 hours)
  • Spring 1999 Graduate Course MATH 246B Inverse Transport Problems in Medical Imaging, Mathematics Department, Stanford University, Stanford, CA.
  • 1993-1997 Weekly problem sessions and seminars on topics like ordinary or partial differential equations, efficient algorithms, modelling, inverse problems, dynamical systems, or numerical analysis.
  • 1987-1991 Weekly problem sessions in the mathematical education of physicists. In addition, several ‘pre-classes’ in mathematics for beginning undergraduate students..

 

Research projects/Grants (current and previous, funded)

I was/am actively involved in the following exciting projects:

·        (2009-2010) EPSRC grant EP/G065047/1 ‘Interdisciplinary Workshop on Electromagnetic Inverse Problems’. Principal Investigator: Oliver Dorn.

·        (2009) Innovation voucher with Industrial Tomography Systems (ITS) plc., Principal Investigator: Oliver Dorn .

·         (2008-2010) 'Modelos Computacionales para Técnicas No Invasivas de Reconstrucción de Imagen de Interés en Biomedicina’ (sponsored by the Ministerio de Educación y Ciencia, Spain) Principal Investigator: Miguel Moscoso, UC3M.

·        (2004-2009) European Integrated Project on 'Integrated Technologies for In-vivo Molecular Imaging', financed by the European Union in the 6th Framework Programme for Research and Technological Development. Involved are 21 Universities, Research Institutes and Companies in Europe with a total budget of 11.000.000 Euros. Principal Investigator at UC3M: Oliver Dorn.

·        (2005-2009) Complementary Funding for research related with the European project 'Integrated Technologies for In-vivo Molecular Imaging' by the Ministerio de Educación y Ciencia, Spain. Principal Investigator: Oliver Dorn.

·        (2005-2009) Complementary Funding for research related with the European project 'Integrated Technologies for In-vivo Molecular Imaging' by Universidad Carlos III de Madrid, Spain. Principal Investigator: Oliver Dorn.

·        (2002-2003) Project 'New nonlinear reconstruction techniques for medical and geophysical imaging', sponsored by the Ministerio de Ciencia y Tecnologia, Spain,  and the Universidad Carlos III de Madrid, Spain. Principal Investigator: Oliver Dorn.

·        (2005-2007) 'Multiscale problems in materials: defects and growth', funded by the Minsterio de Educación y Ciencia, Spain. Principal Investigator: Luis Bonilla, UC3M.

·        (2005-2007) 'Reservoir Characterization using static and dynamic data: the use of geostatistics in history matching', sponsored by the Spanish Oil company REPSOL-YPF. Principal Investigator: Manuel Kindelan, UC3M.

·        (2005-2007) 'Reservoir Characterization using static and dynamic data: Characterization of reservoirs using a level set technique', sponsored by the Spanish Oil company REPSOL-YPF. Principal Investigator: Manuel Kindelan, UC3M.

·        (2005-2007) 'Efficient numerical algorithms for microwave imaging: applications to the early detection of breast cancer', funded by the Ministerio de Ciencia y Tecnologia, Spain. Principal Investigator: Miguel Moscoso, UC3M.

·        (2003-2005) 'Reservoir Characterization', sponsored by the company REPSOL-YPF and by Universidad Carlos III de Madrid. Principal Investigator: Manuel Kindelan, UC3M.

·        (2002-2005) Research Training Network on 'Hyperbolic and Kinetic Equations', financed by the European Union in the 5th Framework Programme 'Improving the Human Potential', Project No. HPRN-CT-2002-00282. Principal Investigators: Juan Soler (Universidad Granada) and Luis Bonilla (UC3M).

·        (2002-2005) 'Discrete Travelling Waves: Interfaces of Domains, Dislocations and Cracks', sponsored by the Ministerio de Ciencia y Tecnologia, Spain. Principal Investigator: Luis Bonilla, UC3M.

·        (2002-2005) Consortium on 'Imaging, Time Reversal and Communication in Random Media', in collaboration with research groups at University of Irvine, Stanford University, and  North Carolina State University, sponsored by the Office of Naval Research (ONR), USA. Principal Investigator: Hongkai Zhao (UC Irvine).

·        (2000-2002) Consortium on 'Inversion and Modelling of Applied Geophysical Electromagnetic data', sponsored by NSERC through its Collaborative Research and Development (CRD) program, and the following companies: Newmont, Rio Tinto, Falconbridge, Placer Dome, Anglo American, INCO, MIM,  Cominco, AGIP, Muskox Minerals, Billeton. Principal Investigators: Doug Oldenburg (UBC) and Uri Ascher (UBC).

·        (1999-2000) Research project  'New shape-based reconstruction techniques for 2D electromagnetic cross-borehole tomography', sponsored by the Department of Energy and the Idaho National Energy and Environmental Laboratory.  At  the  Center for  Subsurface Sensing and Imaging Systems, Northeastern University (NEU), Boston, USA. Principal Investigator: Eric Miller, (NEU)

·        (1997-1999) Environmental Management Science Program of the US department of energy DOE, project No 55011 'Surface and Borehole Electromagnetic Imaging of Conducting Contaminant Plumes'. A collaborative project with participants from the Mathematics Department at Stanford University and from Lawrence Livermore National Laboratory. Principal Investigators: Jim Berryman (LLNL) and George Papanicolaou (Stanford University).

 

Professional memberships:

  • Society of Industrial and Applied Mathematics (SIAM).
  • European Association of Geosciences and Engineers (EAGE).
  • Institute of Electrical and Electronics Engineers (IEEE).

Publications List

1.) Publications listed by application area

Review articles:

  1. [Rev1] (2010)  ‘Level Set Methods Including Fast Marching Methods’, O. Dorn, solicited book chapter for the ‘Handbook of Mathematical Methods in Imaging’, O. Scherzer Editor in Chief, to be published by Springer (in preparation).
  2. [Rev2] (2009) Level set methods for inverse scattering – recent developments, O. Dorn and D. Lesselier, to appear in the 25th year special issue of Inverse Problems, Dec 2009.  
  3. [Rev3] (2006) Level set methods for inverse scattering, O. Dorn and D. Lesselier, Topical review, Inverse Problems 22 (2006) R67-R131. (link)  (pdf)
  4. [Rev4] (2006) Level set techniques for structural inversion in medical imaging, O. Dorn and D. Lesselier, Chapter in book: "Deformable Models:  Theory and Biomaterial Applications", Editors (Jasjit S. Suri and Aly Farag), Springer Publishers, ISBN: 978-0-387-31204 8, pp. 61-90, to appear July 2007. (pdf)

 

Crack detection

  1. [CR1] (2009) Crack reconstruction using a level-set strategy, Alvarez D; Dorn O;  Irishina N; Moscoso M, to appear in J. Comput. Phys.
  2. [CR2] (2008) 3-D Eddy-Current Imaging of Metal Tubes by Gradient-Based, Controlled Evolution of Level Sets, Abascal J F P J, Lambert M, Lesselier D, Dorn O, IEEE Trans. Magnetics, Vol 44  (12), pp 4721—4729, Dec 2008.
  3. [CR3] (2007) A new level set technique for the crack detection problem, D. Álvarez, O. Dorn and M. Moscoso, Proceedings in Applied Mathematics and Mechanics, 6th International Congress on Industrial and Applied Mathematics, 16-20 July, 2007, Zurich, Switzerland (link) (link)
  4. [CR4] (2007) Crack detection using a level set technique and thin shapes, D. Álvarez, O. Dorn and M. Moscoso, 23rd International Review of Progress in Applied Computational Electromagnetics Conference ACES 2007, March 19-23, 2007, Verona, Italy, pp. 1283-1287. (pdf) (link)
  5. [CR5] (2006) Reconstructing thin shapes from boundary electrical measurements with level sets, D. Álvarez, O. Dorn and M. Moscoso, International Journal for Information and Systems Sciences, Vol 2, No 4, pp 498-511  (pdf) (link)  (preprint version available as IMA preprint  No. 2127)

 

Reservoir characterization:

  1. [RC1] (2008) History matching of petroleum reservoirs using a level set technique, O. Dorn and R. Villegas, Inverse Problems 24 No 3 (June 2008) 035015 (29pp) (link) (pdf)
  2. [RC2] (2008) Reservoir characterization using stochastic initializations and level sets, R. Villegas, O. Dorn, M. Moscoso and M. Kindelan, Computers & Mathematics with Applications Vol 56 (3)  pp 697-708  (August 2008)   (link)
  3. [RC3] (2007) Characterization of reservoirs by evolving level set functions obtained from geostatistics, R. Villegas, O. Dorn, M. Moscoso and M. Kindelan, Proc. 14th European Conference on Mathematics for Industry (ECMI 2006),10-14 July 2006, Leganes, Spain (pp 1-5) Publisher: Springer (pdf) (link)
  4. [RC4] (2007) Imaging low sensitivity regions in petroleum reservoirs using topological perturbations and level sets, R. Villegas, O. Dorn, M. Kindelan and M. Moscoso, Journal of Inverse and Ill-posed Problems  15 (2), pp. 199-223. (link) (pdf)
  5. [RC5] (2006) Shape reconstruction and structural inversion for medical, geophysical and industrial tomography, O. Dorn and R. Villegas, Proc. Oberwolfach workshop on ‘Mathematical Methods in Tomography’ (org. A. Louis, F. Natterer and E. T. Quinto), Report No. 34/2006, Mathematisches Forschungsinstitut Oberwolfach, Germany, pp 50-52. (link)
  6. [RC6] (2006) Simultaneous characterization of geological regions and parameterized internal permeability profiles in history matching, R. Villegas, O. Dorn, M. Moscoso and M. Kindelan, Proc. 10th European conference on the mathematics of oil recovery ECMOR X, 4-7 Sept., Amsterdam, Netherlands, Proc. paper A015, (pp 1-9). (pdf) (link)
  7. [RC7] (2006) Simultaneous characterization of geological shapes and permeability distributions in reservoirs using the level set method, R. Villegas, O. Dorn, M. Moscoso, M. Kindelan, F. Mustieles, Society of Petroleum Engineers SPE paper 100291, SPE Europec/EAGE Annual Conference and Exhibition, Vienna, Austria, June 12-15, 2006 (Proc. paper C015, pp 1-12). (pdf) (link) (link)
  8. [RC8] (2006) Sensitivity studies for shape reconstruction in reservoir characterization using level sets, R. Villegas, M. Kindelan, O. Dorn, M. Moscoso, Proceedings “Inverse problems: modelling and simulation”, Fethiye, Turkey, May 29-June 02, 2006, (pp1-4). (pdf) (link)
  9. [RC9] (2006) Shape reconstruction from two-phase incompressible flow data using level sets, R. Villegas, O. Dorn, M. Moscoso and M. Kindelan, Proceedings of the International Conference on PDE-Based Image Processing and Related Inverse Problems, CMA, Oslo, August 8--12, 2005, (Eds: X.-C. Tai, K.-A. Lie, T.F. Chan, and S. Osher), pp. 381-401, Series: Mathematics and Visualization, Publisher: Springer, ISBN 078-3-540-33266-4 (link) (pdf)
  10. [RC10] (2004) History matching problem in reservoir engineering using the propagation-backpropagation method, P. González-Rodriguez, M. Kindelan, M. Moscoso and O. Dorn, Inverse Problems 21, 565-590 (link)

 

Microwave medical imaging:

  1. [MW1] (2009) Structural level set inversion for microwave breast screening, Irishina N, Alvarez D, Dorn O and Moscoso M, submitted to Inverse Problems
  2. [MW2] (2009) Microwave Imaging for Early Breast Cancer Detection Using a Shape-based Strategy, N. Irishina, O. Dorn and M. Moscoso, IEEE Transactions on Biomedical 56(4):1143-53,  2009 Apr  (link)
  3. [MW3] (2008) An Adjoint-Field Technique for Shape Reconstruction of 3-D Penetrable Object Immersed in Lossy Medium, El-Shenawee M, Dorn O, Moscoso M, IEEE Transactions on Antennas and Propagation, vol. 57, issue 2, pp. 520-534 (link)
  4. [MW5] (2008) A level set evolution strategy in microwave imaging for early breast cancer detection, N. Irishina, M. Moscoso and O. Dorn, Computers & Mathematics with Applications Vol 56 (3)  (Aug 2008) pp  607-618  (link)
  5. [MW4] (2007) Level set techniques for microwave medical imaging, N. Irishina, O. Dorn and M. Moscoso, Proceedings in Applied Mathematics and Mechanics, 6th International Congress on Industrial and Applied Mathematics, 16-20 July, 2007, Zurich, Switzerland (link) (link)
  6. [MW6] (2007) Microwave tomography for breast cancer detection using level sets, N. Irishina, M. Moscoso and O. Dorn, Proc. 23rd International Review of Progress in Applied Computational Electromagnetics Conference ACES 2007, March 19-23, 2007, Verona, Italy, pp. 1955-1960. (pdf) (link)
  7. [MW7] (2007) Reconstruction of irregular shape of breast cancer tumor using the adjoint-field scheme in the microwave imaging algorithm, M. El-Shenawee, O. Dorn and M. Moscoso, Proc. 23rd International Review of Progress in Applied Computational Electromagnetics Conference ACES 2007, March 19-23, 2007, Verona, Italy, pp. 1288-1293. (pdf) (link)
  8. [MW8] (2007) Iterative microwave inversion for breast cancer detection using level sets, N. Irishina, M. Moscoso and O. Dorn, Proc. 14th European Conference on Mathematics for Industry (ECMI 2006), 10-14 July 2006, Leganes, Spain (pp 1-5). Publisher: Springer (pdf) (link)
  9. [MW9] (2007) Iterative microwave inversion algorithm based on the adjoint-field method for breast cancer application, O. Dorn, M. El-Shenawee and M. Moscoso, Proc. 14th European Conference on Mathematics for Industry (ECMI 2006), 10-14 July 2006, Leganes, Spain (pp 1-5)  Publisher: Springer (pdf) (link)
  10. [MW10] (2006) On the evolution of level sets and inverse scattering, and its extension to the recovery of thin shapes, O. Dorn and D. Lesselier, Proc. Mediterranean Microwave Symposium, Sept 19-21, Genova, Italy, (pp 1-5). (link)
  11. [MW11] (2006) Detection of small tumors in microwave medical imaging using level sets and MUSIC, N. Irishina, M. Moscoso and O. Dorn, Proceedings PIERS, Cambridge, March 2006, pp. 43-47. (pdf) (link)

 

2D Cross-borehole electromagnetic tomography:

  1. [CB1] (2001) Shape reconstruction in 2D from limited-view multifrequency electromagnetic data,  O. Dorn, E. Miller and C. Rappaport,  AMS series Contemporary Mathematics 278, Radon Transform and Tomography, 97-122  (pdf)
  2. [CB2] (2000)  A shape reconstruction method for electromagnetic tomography using adjoint fields and  level sets,  O. Dorn, E. Miller and C. Rappaport,  Inverse Problems 16 1119-1156, Special issue on Electromagnetic Imaging and Inversion of the Earth's Subsurface (link) (pdf)

 

3D Electromagnetic Induction Tomography for isotropic and anisotropic media:

  1. [EM1] (2007) A level set method for 3D low frequency electromagnetic imaging with applications in geophysical prospecting, O. Dorn and R. Villegas, Proceedings in Applied Mathematics and Mechanics, 6th International Congress on Industrial and Applied Mathematics, 16-20 July, 2007, Zurich, Switzerland (link) (link)
  2. [EM2] (2007) Shape reconstruction in 3D electromagnetic induction tomography using a level set technique, O. Dorn and U. Ascher, Proc. 23rd International Review of Progress in Applied Computational Electromagnetics Conference ACES 2007, March 19-23, 2007, Verona, Italy, pp. 695-700. (pdf) (link)
  3. [EM3] (2007) Adjoint fields and sensitivities for 3D electromagnetic imaging in isotropic and anisotropic media, O Dorn, H Bertete-Aguirre and G C Papanicolaou, in: Lecture notes in Mathematics, Vol 1943/2008 ‘Inverse Problems and Imaging’, pp 35-65, Springer Berlin/Heidelberg  (link)              (pdf)
  4. [EM4] (2002) Shape reconstruction in 3D low-frequency electromagnetic induction tomography using level sets and adjoint fields, O. Dorn  Proc. 2002 IEEE Antennas and Propagation International Symposium, June 16-21, 2002, San Antonio, Texas, USA.  (pdf) (link)
  5. [EM5] (2002) Sensitivity analysis of a nonlinear inversion method for 3D electromagnetic imaging in anisotropic media,  O Dorn, H Bertete-Aguirre, J G Berryman and G C Papanicolaou   Inverse Problems 18, 285-317  (link) (pdf)
  6. [EM6] (1999) A nonlinear inversion method for 3D electromagnetic imaging using adjoint fields, O Dorn, H Bertete-Aguirre, J G Berryman and G C Papanicolaou   Inverse Problems 15 1523-1558  (link) (pdf) 

 

Diffuse Optical Tomography, Fluorescence Tomography and Molecular Imaging:

  1. [DO1] (2009) Shape reconstruction for an inverse radiative transfer problem arising in medical imaging, O. Dorn, Springer series 'Computational Science and Engineering', volume Numerical methods for multidimensional radiative transfer problems Kanschat G., Meinköhn E., Rannacher R., Wehrse R. (eds), Springer, Berlin, ISBN: 978-3-540-85368-8  (pdf)
  2. [DO2] (2007) 3-D shape and contrast reconstruction in optical tomography with level sets, M. Schweiger, O. Dorn and S.R. Arridge, Journal of Physics Conference Series, AIP 2007 First International Congress of IPIA and Conference on Applied Inverse Problems 2007: Theoretical and Computational Aspects, June 25-29, 2007, Vancouver, Canada (link) (link)
  3. [DO3] (2007) Reconstruction of simple geometric objects in 3D optical tomography using an adjoint technique and a boundary element method, A. Zacharopoulos, O. Dorn, S.R. Arridge, V. Kolehmainen and J. Sikora, Proc. 14th European Conference on Mathematics for Industry (ECMI 2006), 10-14 July 2006, Leganes, Spain (pp 1-5). Publisher: Springer (link)
  4. [DO4] (2006) Reconstruction of subdomain boundaries of piecewise constant coefficients of the Radiative Transfer Equation from Optical Tomography data, S.R. Arridge, O. Dorn, J.P. Kaipio, V. Kolehmainen, M. Schweiger, T. Tarvainen, M. Vauhkonen and A. Zacharopoulos, Inverse Problems 22 (2006) pp 2175-2196. (link)
  5. [DO5] (2006) Three dimensional reconstruction of shape and piecewise constant region values for Optical Tomography using spherical harmonic parameterisation and a Boundary Element Method, A D Zacharopoulos, S R Arridge, O Dorn, V Kolehmainen and J Sikora, Inverse Problems 22, pp. 1509-1532. (link)
  6. [DO6] (2006) 3D Shape reconstruction in optical tomography using spherical harmonics and BEM, A. Zacharopoulos, S. Arridge, O. Dorn, V. Kolehmainen and J. Sikora, Proceedings Progress in Electromagnetics Research Symposium PIERS, Cambridge, March 2006, pp. 48-52.  (pdf) (link)  This article has been selected by the organizers of PIERS and by the editors of JEMWA to be published in the peer-reviewed journal JEMWA with the following reference:
  7. [DO7] (2006) 3D Shape reconstruction in optical tomography using spherical harmonics and BEM, A. Zacharopoulos, S. Arridge, O. Dorn, V. Kolehmainen and J. Sikora, ‘Journal of Electromagnetic Waves and Applications (JEMWA)’ Vol. 20, No. 13, pp. 1827-1836 (10). (link)
  8. [DO8] (2006) Reconstructing absorption and diffusion shape profiles in optical tomography using a level set technique, M. Schweiger, S.R. Arridge, O. Dorn, A. Zacharopoulos, V. Kolehmainen, Optics Letters, 31 no. 4, pp. 471-473. (This article was selected by the Optical Society of America to be published also in the ‘Virtual Journal for Biomedical Optics’ ISSN 1931-1532, Vol. 1, issue 3, March 7, 2006) (pdf) (link)
  9. [DO9] (2002) Shape reconstruction in scattering media with voids using a transport model and level sets, O. Dorn, Canad. Appl. Math. Quart. 10 (2) (special issue on imaging), 239-275 (link) (pdf) (preprint version available as MSRI preprint 2002-002)
  10. [DO10] (2002) A shape reconstruction method for diffuse optical tomography using a transport model and level sets, Proc. 2002 IEEE International Symposium on Biomedical Imaging, July 7-10, 2002, Washington, D.C., USA. (pdf) (link)
  11. [DO11] (2000) Scattering and absorption transport sensitivity functions for optical tomography,  O. Dorn , Optics Express 7 (13) 492-506  (link) (pdf)
  12. [DO12] (1998) A transport-backtransport method for optical tomography,  O. Dorn ,  Inverse Problems 14 1107-1130 (link) (pdf)

 

Electrical impedance, resistance or capacitance tomography:

  1. [IRC1] (2009) Breast Imaging with Electrical Impedance Tomography: a comparison of traditional Quadratic regularization, Total Variation regularization and Level Set Method on in vivo data, A. Borsic, M. Soleimani, O. Dorn, R. Halter, A. Hartov and K.D. Paulsen, Proceedings ‘Workshop on Electromagnetic Inverse Problems’, June 16-19, 2009, Manchester, UK. (link)
  2. [IRC2] (2006) A narrowband level set method applied to EIT in brain for cryosurgery monitoring, M. Soleimani, O. Dorn and W.R.B. Lionheart, IEEE Trans. Biom. Eng., Vol. 53, No. 11, Nov 2006, pp 2257-2264.  (link) (pdf)
  3. [IRC3] (2006) Level set reconstruction of conductivity and permittivity from boundary electrical measurements using experimental data, M. Soleimani, W. R.B. Lionheart and O. Dorn, Inverse Problems in Science and Engineering, 14 (3), pp 193-210, March 2006.  (link) 
  4. [IRC4] (2004) Reconstruction of shape of inclusions in electrical resistance capacitance tomography using level set method, M. Soleimani, W.R.B.Lionheart and O. Dorn, in: Proceedings of the International Conference on Electrical Bioimpedance and Electrical Impedance Tomography, 20-24 June, 2004, Gdansk, Poland. Editors Antoni Nowakowski et al, pp. 547-550. (link)

 

Others:

  1. [DIV1] (2007) Time reversal and the adjoint imaging method with an application in telecommunication, O. Dorn, in: Lecture notes in Mathematics, Vol 1943/2008 ‘Inverse Problems and Imaging’, pp 135-170, Springer Berlin/Heidelberg (link) (pdf)
  2. [DIV2] (2006) Time reversal and the adjoint imaging method with an application in underwater communication, The Journal of the Acoustical Society of America, Vol. 119, No. 5, Pt. 2 of 2, May 2006, p. 3246 (link)
  3. [DIV3] (2002) Frechet derivatives for some bilinear inverse problems, T. Dierkes, O. Dorn, F. Natterer, V. Palamodov and H. Sielschott, SIAM J. Appl. Math. 62, 2092-2113  (pdf) (link)

2.) Publications listed by type can be found at my webpage:

http://www.maths.manchester.ac.uk/~odorn/PublicationsType.htm