154
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Reconstruction of a grounded object in an electrostatic halfspace with an indicator function

&
Pages 585-600 | Received 15 Sep 2005, Accepted 22 Jun 2006, Published online: 22 Aug 2007

References

  • van Berkel, C, 2002. 3d touchless display interaction, Proceedings of International Symposium Vol. 33 (2) (2002), pp. 1410–1413, SID.
  • Zimmerman, TG, Smith, JR, Paradiso, JA, Allport, D, and Gershenfeld, N, 1995. Applying Electric Field Sensing to Human-Computer Interfaces. New York: ACM Press; 1995. pp. 280–287, CHI95, Human Factors in Computing Systems.
  • van Berkel, C, and Lionheart, WRB, 2005. "Electrostatic object reconstruction in a half space". In: Lesnic, D, ed. Proceedings of the 5th International Conference on In Probability in Engineering: Theory and Practice. Cambridge, UK: Leeds University Press; 2005, 11–15th July 2005, Chapter V01..
  • Colton, D, Coyle, J, and Monk, P, 2000. Recent developments in inverse acoustic scattering theory, SIAM Review 42 (2000), pp. 369–414.
  • Kirsch, A, 1998. Characterisation of the shape of a scattering obstacle using the spectral data of the far field operator, Inverse Problems 14 (1998), pp. 1489–1512.
  • Hähner, P, 1999. An inverse problem in electrostatics, Inverse Problems 15 (1999), pp. 961–975.
  • Brühl, M, 2001. Explicit characterisation of inclusions in electrical impedance tomography, SIAM Journal of Mathematical Analysis 32 (2001), pp. 1327–1341.
  • Schappel, B, 2003. "Electrical impedance tomography in the half space: locating obstacles by electrostatic measurements on the boundary". In: 3rd World Congress on Industrial Process Tomography. Alberta, Canada. 2003. pp. 788–73, Dates: 2nd–5th September 2003.
  • Potthast, R, 2006. A survey on smapling and probe methods for inverse problems, Inverse Problems 22 (2006), pp. R1–R47.
  • Cheney, M, 2001. The linear sampling method and the music algorithm, Inverse Problems 17 (2001), pp. 591–595.
  • Kirsch, A, 2002. The music algorithm and the factorisation method in inversescattering theory for inhomogeneous media, Inverse Problems 18 (2002), pp. 1025–1040.
  • Kress, R, and Kühn, L, 2002. Linear sampling methods for inverse boundary value problems in potential theory, Applied Numerical Mathematics 43 (2002), pp. 161–173.
  • Brandfass, M, Lanterman, AD, and Warnick, KF, 2001. A comparison of the Colton–Kirsch inverse scattering methods withlinearized tomographic inverse scattering, Inverse Problems 17 (2001), pp. 1797–1816.
  • Jackson, JD, 1995. Classical Electrodynamics . New York: John Wiley Sons ; 1995.
  • van Wijk, K, 1996. Answers to a Selection of Problems from Jackson's Classical Electrodynamics. Golden, Colorado: Samizdat Press; 1996, http://samizdat.mines.edu.
  • Folland, GB, 2004. Introduction to Partial Differential Equations. Princeton: Princeton University Press; 2004.
  • Arens, T, 2004. Why linear sampling works, Inverse Problems 20 (2004), pp. 163–173.
  • Engl, HW, Hanke, M, and Neubauer, A, 1996. Regularization of Inverse Problems. Dordrecth, Kluwer: Academic Publishers; 1996.
  • Colton, D, Piana, M, and Potthast, R, 1997. A simple method using Morozov s discrepancy principle for solving inverse scattering problems, Inverse Problems 13 (1997), pp. 1477–1493.
  • Tacchino, A, Coyle, J, and Piana, M, 2002. Numerical validation of the linear sampling method, Inverse Problems 18 (2002), pp. 511–527.
  • Hanke, M, and Brühl, M, 2003. Recent progress in electrical impedance tomography, Inverse Problems 19 (2003), pp. 1–26.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.