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The Regularity Theory for the Mumford-Shah Functional on the Plane.
- Format:
- Book
- Author/Creator:
- De Lellis, Author.
- Focardi, Matteo, author.
- Series:
- EMS monographs in mathematics.
- EMS Monographs in Mathematics (emm) 13 2523-5206
- Language:
- English
- Subjects (All):
- Theory of distributions (Functional analysis).
- Physical Description:
- 1 online resource (266 pages)
- Place of Publication:
- EMS Press 2025
- Berlin : EMS Press, 2025.
- System Details:
- text file PDF
- Summary:
- This book provides a thorough and up-to-date account of the state of art of the regularity theory for minimizers of the Mumford-Shah functional of image segmentation in the 2-dimensional setting. Starting with some classical preliminary results, which settle the issue of existence of minimizing couples (,), the structure of the set is then analyzed by using -regularity theorems. Several consequences of the latter are also investigated, in particular leading to different characterizations of the Mumford-Shah conjecture. The proofs are given with full details, often revisiting the relevant literature and introducing new arguments.
- Notes:
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 9783985475896
- 398547589X
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