Local calibrations for minimizers of the Mumford–Shah functional with a regular discontinuity set

Maria Giovanna Mora; Massimiliano Morini

Annales de l'I.H.P. Analyse non linéaire (2001)

  • Volume: 18, Issue: 4, page 403-436
  • ISSN: 0294-1449

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Mora, Maria Giovanna, and Morini, Massimiliano. "Local calibrations for minimizers of the Mumford–Shah functional with a regular discontinuity set." Annales de l'I.H.P. Analyse non linéaire 18.4 (2001): 403-436. <http://eudml.org/doc/78526>.

@article{Mora2001,
author = {Mora, Maria Giovanna, Morini, Massimiliano},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {free discontinuity problems; calibrations; Mumford-Shah functional},
language = {eng},
number = {4},
pages = {403-436},
publisher = {Elsevier},
title = {Local calibrations for minimizers of the Mumford–Shah functional with a regular discontinuity set},
url = {http://eudml.org/doc/78526},
volume = {18},
year = {2001},
}

TY - JOUR
AU - Mora, Maria Giovanna
AU - Morini, Massimiliano
TI - Local calibrations for minimizers of the Mumford–Shah functional with a regular discontinuity set
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2001
PB - Elsevier
VL - 18
IS - 4
SP - 403
EP - 436
LA - eng
KW - free discontinuity problems; calibrations; Mumford-Shah functional
UR - http://eudml.org/doc/78526
ER -

References

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  1. [1] Alberti G, Bouchitté G, Dal Maso G, The calibration method for the Mumford–Shah functional, Preprint SISSA, Trieste, 1998. Zbl0948.49005
  2. [2] Ambrosio L, A compactness theorem for a new class of variational problems, Boll. Un. Mat. It.3-B (1989) 857-881. Zbl0767.49001MR1032614
  3. [3] Ambrosio L, Fusco N, Pallara D, Functions of Bounded Variation and Free-Discontinuity Problems, Oxford University Press, Oxford, 2000. Zbl0957.49001MR1857292
  4. [4] Chavel I, Riemannian Geometry – A Modern Introduction, Cambridge University Press, Cambridge, 1993. Zbl0810.53001
  5. [5] Dal Maso G, Mora M.G, Morini M, Local calibrations for minimizers of the Mumford–Shah functional with rectilinear discontinuity set, J. Math. Pures Appl.79 (2) (2000) 141-162. Zbl0962.49013
  6. [6] Hartman P, Ordinary Differential Equations, Birkhäuser, Boston, 1982. Zbl0476.34002MR658490
  7. [7] John F, Partial Differential Equations, Springer-Verlag, New York, 1982. Zbl0472.35001MR831655
  8. [8] Mumford D, Shah J, Boundary detection by minimizing functionals, I, in: Proc. IEEE Conf. on Computer Vision and Pattern Recognition, San Francisco, 1985. 
  9. [9] Mumford D, Shah J, Optimal approximation by piecewise smooth functions and associated variational problems, Comm. Pure Appl. Math.42 (1989) 577-685. Zbl0691.49036MR997568

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