The Equivalence of the Taut String Algorithm and BV-Regularization

@article{Grasmair2006TheEO,
  title={The Equivalence of the Taut String Algorithm and BV-Regularization},
  author={Markus Grasmair},
  journal={Journal of Mathematical Imaging and Vision},
  year={2006},
  volume={27},
  pages={59-66}
}
It is known that discrete BV-regularization and the taut string algorithm are equivalent. In this paper we extend this result to the continuous case. First we derive necessary equations for the solution of both BV-regularization and the taut string algorithm by computing suitable Gateaux derivatives. The equivalence then follows from a uniqueness result. 
Highly Cited
This paper has 24 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 18 extracted citations

Total variation on a tree

SIAM J. Imaging Sciences • 2016
View 1 Excerpt

References

Publications referenced by this paper.
Showing 1-10 of 26 references

Taut-String Algorithm and Regularization Programs with G-Norm Data Fit

Journal of Mathematical Imaging and Vision • 2005
View 1 Excerpt

M

W. Hinterberger, M. Hintermüller, K. Kunisch
von Oehsen, and O. Scherzer, “Tube methods for BV regularization,” JMIV, Vol. 19, pp. 223–238, • 2003
View 1 Excerpt

Kunisch , “ Restoration of edge - fl at - grey scales

Mammen, S. van de Geer
Inverse Problems • 2000

Relations Between Regularization and Diffusion Filtering

Journal of Mathematical Imaging and Vision • 2000
View 1 Excerpt

Restoration of edge-flat-grey scales,” Inverse Problems, Vol

K. Ito, K. Kunisch
65, pp. 273–298, • 2000
View 1 Excerpt

Scherzer and J . Weickert , “ Relations between regularization and diffusion fi ltering

S. Didas Steidl, J. Neumann
J . Math . Imag . Vision • 2000

and D

L. Ambrosio, N. Fusco
Pallara, Functions of Bounded Variation and Free Discontinuity Problems, The Clarendon Press Oxford University Press: New York, • 2000
View 1 Excerpt

Similar Papers

Loading similar papers…