Some Preprints and Selected Publications:

Review articles:

  1. (2006) Level set methods for inverse scattering, O. Dorn and D. Lesselier, Topical review, Inverse Problems 22 (2006) R67-R131. (link)  (pdf)
  2. (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)

 

Reservoir characterization:

  1. (2008) History matching of petroleum reservoirs using a level set technique, Dorn O, Villegas R, INVERSE PROBLEMS   Volume: 24   Issue: 3 Article Number: 035015   Published: JUN 2008 (link)
  2. (2008) Reservoir characterization using stochastic initializations and the level set method, Villegas R, Dorn O, Moscoso M, et al., COMPUTERS & MATHEMATICS WITH APPLICATIONS   Volume: 56   Issue: 3   Pages: 697-708   Published: AUG 2008  (link)
  3. (2008) Characterization of reservoirs by evolving level set functions obtained from geostatistics, Villegas R, Dorn O, Moscoso M, et al., 14th European Conference for Mathematics in Industry, JUL 10-14, 2006 Univ Carlos III Madrid, Leganes, SPAIN, PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2006  Book Series: MATHEMATICS IN INDUSTRY   Volume: 12   Pages: 597-602   Published: 2008  (pdf) (link)
  4. (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. (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. (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. (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. (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. (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. (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)

 

Electrical impedance, resistance or capacitance tomography:

  1. (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)
  2. (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)
  3. (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)
  4. (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)
  5. (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) 
  6. (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)

 

Microwave medical imaging:

  1. (2008) Microwave Imaging for Early Breast Cancer Detection Using a Shape-based Strategy, N. Irishina, M. Moscoso and O. Dorn, IEEE Transactions on Biomedical Engineering (accepted)
  2. (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 Trans. Antennas Propagation (accepted)
  3. (2008) Detecting and imaging dielectric objects from real data: a shape based approach, Irishina N, Alvarez D, Dorn O and Moscoso M, Mathematical and Computer Modelling (submitted)
  4. (2008) Iterative microwave inversion for breast cancer detection using level sets, Irishina N, Moscoso M, Dorn O, 14th European Conference for Mathematics in Industry, JUL 10-14, 2006 Univ Carlos III Madrid, Leganes, SPAIN, PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2006  Book Series: MATHEMATICS IN INDUSTRY   Volume: 12   Pages: 592-596   Published: 2008
  5. (2008) Iterative microwave inversion algorithm based on the adjoint-field method for breast cancer application, Dorn O, El-Shenawee M, Moscoso M, 14th European Conference for Mathematics in Industry, JUL 10-14, 2006 Univ Carlos III Madrid, Leganes, SPAIN Source: PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2006  Book Series: MATHEMATICS IN INDUSTRY   Volume: 12   Pages: 587-+   Published: 2008
  6. (2008) A level set evolution strategy in microwave imaging for early breast cancer detection, Irishina N, Dorn O, Moscoso M, COMPUTERS & MATHEMATICS WITH APPLICATIONS   Volume: 56   Issue: 3   Pages: 607-618   Published: AUG 2008  (link)
  7. (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)
  8. (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)
  9. (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)
  10. (2007) On the stability of surface shape reconstruction using microwave algorithm for 3-D breast tumor based on the adjoint-fields scheme, El-Shenawee M, Moscoso M, Dorn O, IEEE Antennas-and-Propagation-Society International Symposium, JUN 09-15, 2007 Honolulu, HI, 2007 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM, VOLS 1-12  Book Series: IEEE Antennas and Propagation Society International Symposium   Pages: 2005-2008   Published: 2007
  11. (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)
  12. (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)
  13. (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. (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. (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. (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 (to appear)
  2. (2008) Adjoint fields and sensitivities for 3D electromagnetic imaging in isotropic and anisotropic media, Dorn O, Bertete-Aguirre H, Papanicolaou GC, INVERSE PROBLEMS AND IMAGING  Book Series: LECTURE NOTES IN MATHEMATICS   Volume: 1943   Pages: 35-65   Published: 2008 (pdf)
  3. (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)
  4. (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)
  5. (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)
  6. (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)
  7. (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. (2008) Parameter and Structure Reconstruction in Optical Tomography, S R Arridge, O Dorn, V Kolehmainen, M Schweiger and A Zacharopoulos, 6th International Conference on Inverse Problems in Engineering: Theory and Practice, Journal of Physics: Conference Series 135 (2008) 012001, doi: 10.1088/1742-6596/135/1/012001
  2. (2008) Reconstruction of simple geometric objects in 3D optical tomography using an adjoint technique and a boundary element method, Zacharopoulos A, Dorn O, Arridge SR, et al., 14th European Conference for Mathematics in Industry, JUL 10-14, 2006 Univ Carlos III Madrid, Leganes, SPAIN, PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2006  Book Series: MATHEMATICS IN INDUSTRY   Volume: 12   Pages: 603-607   Published: 2008  (pdf) (link)
  3. (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)
  4. (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. (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. (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. (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. (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. (2007) 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 (2007), to appear  (pdf)
  10. (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)
  11. (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)
  12. (2000) Scattering and absorption transport sensitivity functions for optical tomography,  O. Dorn , Optics Express 7 (13) 492-506  (link) (pdf)
  13. (1998) A transport-backtransport method for optical tomography,  O. Dorn ,  Inverse Problems 14 1107-1130 (link) (pdf)

 

Others:

  1. (2008) Time-reversal and the adjoint imaging method with an application in telecommunication, Dorn O, INVERSE PROBLEMS AND IMAGING  Book Series: LECTURE NOTES IN MATHEMATICS   Volume: 1943   Pages: 135-170   Published: 2008
  2. (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. (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)