Non-smooth gravity problem with total variation penalization functional

@inproceedings{BerteteAguirre2002NonsmoothGP,
  title={Non-smooth gravity problem with total variation penalization functional},
  author={H. Bertete-Aguirre and Elena Cherkaev and M. Oristaglio},
  year={2002}
}
S U M M A R Y This work deals with reconstruction of non-smooth solutions of the inverse gravimetric problem. This inverse problem is very ill-posed, its solution is non-unique and unstable. The stable inversion method requires regularization. Regularization methods commonly used in geophysics reconstruct smooth solutions even though geological structures often have sharp contrasts (discontinuities) in properties. This is the result of using a quadratic penalization term as a stabilizing… CONTINUE READING
15 Citations
15 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 15 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 15 references

A nonlinear primaldual method for total variationbased image restoration ,

  • E. Cherkaeva
  • ICAOS ’ 96 , Paris
  • 1996

The use of the Lcurve in the regularization of discrete illposed problems

  • V. Isakov
  • SIAM J . Sci . Comput .
  • 1993

Estimation of unremovable uncertainty in the determination of the components of the geomagnetic field , Izv

  • S. C. Constable, R. L. Parker, C. G. Constable
  • Akad . Nauk SSSR Ser . Fiz . Zemli ( Physics of…
  • 1990

A vector model of the magnetic field based on a system of dipole sources

  • B. J. Last, K. Kubik
  • Geomagnetism and Aeronomy
  • 1987

On the uniqueness of the solution of the inverse logarithmic potential problem

  • V. N. Strakhov, G. M. Valyashko
  • SIAM J . Appl . Math .
  • 1986

Adaptive regularization of linear illposed problems and their use in the solution of problems of gravimetry and magnetometry , Izv

  • W. M. Telford, L. P. Geldart, R. E. Sheriff
  • Akad . Nauk SSSR Ser . Fiz . Zemli ( Physics of…
  • 1984

Gravity and magnetic inversion with minimization of a specific functional

  • P. C. Hansen, D. P. O’Leary
  • 1984

Similar Papers

Loading similar papers…