Appendix

 
References:

Gennady Ryzhikov and  Marina Biryulina,
3D nonlinear inversion by Entropy of Image Contrast  optimization
SEISMO-series: No. 62 ;  ISEP, UoB,  1995

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"MIRROR"  (with a slight effect of diffraction):  G. A. Ryzhikov, M. S. Biryulina and A. J. Hanyga, 1995,  3D nonlinear inversion by entropy of image contrast optimization:  Nonlinear Processes in Geophysics, v.2, n.3/4, pp 228-240    (PDF:1.1 Mb) _________________________________________________   Comments - a few notions having been introduced: Diffusion regularization (Sobolev space of infinite order) Entropy of Image Contrast (EnIC) Generalized ray tomography Modified descent method (RT-algorithm) "Anisotropy" of the Sobolev space  as an a priori information on a medium model Regularized Global Approximation (RGA) Analog of  Karhunen-Loeve basis,  induced by Tikhonov regularization Concave regularizer in minimization problem Radon transform as a filtering  of  diffused images Inversion via  EnIC -minimization  RGA-algorithm for global optimization