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Inverse Problems in Science and Engineering Volume 14, 2006 - Issue 1: Selected Papers Presented at the 4th International Conference on Inverse Problems: Identification, Design and Control Guest Editors: Oleg M. Alifanov and Aleksey V. Nenarokomov
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Original Articles

Linear regularization algorithms for computer tomography

Alexandre Grebennikov * Benemerita Universidad Autonoma de Puebla, Av. San Claudio y Rio verde, Ciudad Universitaria, Puebla, Pue, CP 72570, MexicoView further author information
Pages 53-64 | Received 15 Dec 2003, Accepted 31 Oct 2005, Published online: 20 Aug 2006

  • Williams, RA, and Beck, MS, 1995. Process Tomography: Principles, Techniques and Applications. Oxford. 1995.
  • Beck, MS, and Brown, BH, 1996. Process tomography: a European innovation and its application, Measurement Science and Technology 7 (1996), pp. 215–224.
  • Radon, J, 1917. Über die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten, Mathematical Physics KI. 69 (1917), pp. 262–267.
  • Grebennikov, AI, 2003. Regularization algorithms for electric tomography images reconstruction, WSEAS Transactions on Systems Journal 2 (2) (2003), pp. 487–493.
  • Isakov, V, 1998. Inverse Problems for Partial Differential Equations. New York. 1998.
  • Grebennikov, AI, 2003. Fast algorithm for solution of Dirichlet problem for Laplace equation, WSEAS Transactions on Computers Journal 4 (2) (2003), pp. 1039–1043.
  • Grebennikov, AI, 2003. The study of the approximation quality of the GR-method for solution of Dirichlet problem for Laplace equation, WSEAS Transactions on Mathematics Journal 4 (2) (2003), pp. 312–317.
  • Grebennikov, AI, 2004. Spline Approximation Method and its Applications. Moscow. 2004.
  • Grebennikov, AI, 1988. Spline approximation method for solving some incorrectly posed problems, Doklady Akademiya Nauk SSSR 298 (3) (1988), pp. 533–537.
  • Grebennikov, AI, 1989. Spline approximation method for restoring functions, Soviet Journal of Numerical Analysis and Mathematical Modelling 4 (1989), pp. 1–15.
  • Grebennikov, AI, 1978. On explicit method of approximation of functions one and many variables by splines, Computational Mathematics and Mathematical Phyziks 18 (4) (1978), pp. 853–859.
  • Morozov, VA, and Grebennikov, AI, 2005. Methods for Solution of Ill-Posed Problems: Algorithmic Aspect. Moscow. 2005.
  • Grebennikov, AI, 2003. Local regularization algorithms of solving coefficient inverse problems for some differential equations, Inverse Problems in Engineering Journal 11 (3) (2003), pp. 103–113.

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