On Local Region Models and a Statistical Interpretation of the Piecewise Smooth Mumford-Shah Functional

@article{Brox2008OnLR,
  title={On Local Region Models and a Statistical Interpretation of the Piecewise Smooth Mumford-Shah Functional},
  author={Thomas Brox and Daniel Cremers},
  journal={International Journal of Computer Vision},
  year={2008},
  volume={84},
  pages={184-193}
}
The Mumford-Shah functional is a general and quite popular variational model for image segmentation. In particular, it provides the possibility to represent regions by smooth approximations. In this paper, we derive a statistical interpretation of the full (piecewise smooth) Mumford-Shah functional by relating it to recent works on local region statistics. Moreover, we show that this statistical interpretation comes along with several implications. Firstly, one can derive extended versions of… CONTINUE READING
Highly Cited
This paper has 114 citations. REVIEW CITATIONS

Citations

Publications citing this paper.
Showing 1-10 of 60 extracted citations

115 Citations

0102030'10'12'14'16'18
Citations per Year
Semantic Scholar estimates that this publication has 115 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 19 references

, ‘ A review of statistical approaches to level set segmentation : integrating color , texture , motion and shape ’

  • D. Cremers, M. Rousson
  • International Journal of Computer Vision
  • 2007

Parametric and Geometric Deformable Models : An application in Biomaterials and Medical Imagery

  • J. S. Suri, A. Farag
  • 2007

Border detection on short axis echocardiographic views using an ellipse driven regionbased framework ’

  • A. Tsai, A. Yezzi, A. Willsky
  • 2004

Similar Papers

Loading similar papers…