Publication: A note on the Hausdorff dimension of the singular set for minimizers of the Mumford–Shah energy
A note on the Hausdorff dimension of the singular set for minimizers of the Mumford–Shah energy
Date
Date
Date
Citations
De Lellis, C., Focardi, M., & Ruffini, B. (2014). A note on the Hausdorff dimension of the singular set for minimizers of the Mumford–Shah energy. Advances in Calculus of Variations, 7(4), 539–545. https://doi.org/10.1515/acv-2013-0107
Abstract
Abstract
Abstract
We give a more elementary proof of a result by Ambrosio, Fusco and Hutchinson to estimate the Hausdorff dimension of the singular set of minimizers of the Mumford–Shah energy (see [Calc. Var. Partial Differential Equations 16 (2003), no. 2, 187–215, Theorem 5.6]). On the one hand, we follow the strategy of the above mentioned paper; but on the other hand our analysis greatly simplifies the argument since it relies on the compactness result proved by the first two authors in [J. Math. Pures Appl. 100 (2013), 391–409, Theorem 13] for se
Metrics
Downloads
Views
Additional indexing
Creators (Authors)
- De Lellis, Camillo
- Focardi, Matteo
- Ruffini, Berardo
Volume
Volume
Volume
Number
Number
Number
Page range/Item number
Page range/Item number
Page range/Item number
Page end
Page end
Page end
Item Type
Item Type
Item Type
In collections
Language
Language
Language
Publication date
Publication date
Publication date
Date available
Date available
Date available
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
OA Status
OA Status
OA Status
Free Access at
Free Access at
Free Access at
Publisher DOI
Metrics
Downloads
Views
Citations
De Lellis, C., Focardi, M., & Ruffini, B. (2014). A note on the Hausdorff dimension of the singular set for minimizers of the Mumford–Shah energy. Advances in Calculus of Variations, 7(4), 539–545. https://doi.org/10.1515/acv-2013-0107
