Optimal segmentation of unbounded functions

Italo Tamanini; Giuseppe Congedo

Rendiconti del Seminario Matematico della Università di Padova (1996)

  • Volume: 95, page 153-174
  • ISSN: 0041-8994

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Tamanini, Italo, and Congedo, Giuseppe. "Optimal segmentation of unbounded functions." Rendiconti del Seminario Matematico della Università di Padova 95 (1996): 153-174. <http://eudml.org/doc/108388>.

@article{Tamanini1996,
author = {Tamanini, Italo, Congedo, Giuseppe},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {optimal segmentation; variational problems},
language = {eng},
pages = {153-174},
publisher = {Seminario Matematico of the University of Padua},
title = {Optimal segmentation of unbounded functions},
url = {http://eudml.org/doc/108388},
volume = {95},
year = {1996},
}

TY - JOUR
AU - Tamanini, Italo
AU - Congedo, Giuseppe
TI - Optimal segmentation of unbounded functions
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1996
PB - Seminario Matematico of the University of Padua
VL - 95
SP - 153
EP - 174
LA - eng
KW - optimal segmentation; variational problems
UR - http://eudml.org/doc/108388
ER -

References

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  1. [1] L. Ambrosio, Existence theory for a new class of variational problems, Arch. Rational Mech. Anal., 111 (1990), pp. 291-322. Zbl0711.49064MR1068374
  2. [2] G. Congedo - I. Tamanini, Note sulla regolarità dei minimi di funzionali del tipo dell'area, Rend. Accad. Naz.XL, 106, vol. XII, fasc. 17 (1988), pp. 239-257. Zbl0674.49031MR985069
  3. [3] G. Congedo - I. TAMANINI, On the existence of solutions to a problem in multidimensional segmentation, Ann. Inst. Henri Poincaré, 8 (1991), pp. 175-195. Zbl0729.49003MR1096603
  4. [4] G. Congedo - I. TAMANINI, Problemi di partizioni ottimali con dati illimitati, Rend. Mat. Acc. Lincei, 4 (1993), pp. 103-108. Zbl0776.49027MR1233397
  5. [5] E. DeGIORGI - L. AMBROSIO, Un nuovo tipo di funzionale del calcolo delle variazioni, AttiAccad. Naz. Lincei, 82 (1988), pp. 199-210. Zbl0715.49014MR1152641
  6. [6] E. DeGIORGI - G. CONGEDO - I. TAMANINI, Problemi di regolarità per un nuovo tipo di funzionale del calcolo delle variazioni, AttiAccad. Naz. Lincei, 82 (1988), pp. 673-678. Zbl0735.49036MR1139814
  7. [7] E. De Giorgi, Free discontinuity problems in calculus of variations, in Frontiers in Pure and Applied Mathematics, R. Dautray Editor, North-Holland, Amsterdam (1991). Zbl0758.49002MR1110593
  8. [8] U. Massari - I. TAMANINI, Regularity properties of optimal segmentations, J. Reine Angew. Math., 420 (1991), pp. 61-84. Zbl0729.49004MR1124566
  9. [9] J.M. Morel - S. Solimini, Segmentation of images by variational methods: a constructive approach, Rev. Mat. Univ. Complutense Madrid, 1 (1988), pp. 169-182. Zbl0679.68205MR977048
  10. [10] D. Mumford - J. SHAH, Optimal approximations by piecewise smooth functions and associated variational problems, Comm. Pure Appl. Math., 42 (1989), pp. 577-685. Zbl0691.49036MR997568
  11. [11] I. Tamanini - G. CONGEDO, Density theorems for local minimizers of area-type functionals, Rend. Sem. Mat. Univ. Padova, 85 (1991), pp. 217-248. Zbl0753.49019MR1142542
  12. [12] I. Tamanini - C. GIACOMELLI, Approximation of Caccioppoli sets, with applications to problems in image segmentation, Ann. Univ. Ferrara, 35 (1989), pp. 187-213. Zbl0732.49029MR1079588

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