scientific article; zbMATH DE number 1088624
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Publication:4364772
zbMath0896.49024MaRDI QIDQ4364772
Pallara, Diego, Nicola Fusco, Luigi Ambrosio
Publication date: 24 September 1998
Full work available at URL: http://www.numdam.org/item?id=ASNSP_1997_4_24_1_39_0
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decay estimatesfree discontinuity problemsMumford-Shah functionalquasiminimizersspaces SBVimage segmentationsspaces of special functions of bounded variation
Variational problems in a geometric measure-theoretic setting (49Q20) Existence theories for free problems in two or more independent variables (49J10)
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Cites Work
- Variational problems in SBV and image segmentation
- Existence theory for a new class of variational problems
- A variational method in image segmentation: Existence and approximation results
- Variational problems with free interfaces
- Variational methods in image segmentation with 7 image processing experiments
- A new proof of the SBV compactness theorem
- Existence theorem for a minimum problem with free discontinuity set
- On the singular sets of minimizers of the Mumford-Shah functional
- On the regularity of edges in image segmentation
- Optimal approximations by piecewise smooth functions and associated variational problems
- Existence theorem for a Dirichlet problem with free discontinuity set
- Weakly Differentiable Functions
- $C^{1} $-Arcs for Minimizers of the Mumford-Shah Functional
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