Mumford-Shah minimizers on thin plates

被引：0
|
作者：
Guy David
机构：
[1] Mathématiques,
[2] Bâtiment 425,undefined
[3] Université de Paris-Sud,undefined
来源：
Calculus of Variations and Partial Differential Equations | 2006年 / 27卷
关键词：
Mumford-Shah functional; Thin plates;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that limits of Mumford-Shah minimizers in product domains Ω = Ω′× (0,t), t small, are Mumford-Shah minimizers in one less dimension. The main ingredient of the proof is a symmetry argument from Dal Maso, Morel, and Solimini.
引用
收藏
页码：203 / 232
页数：29
相关论文
共 50 条
  • [31] Mumford-Shah Regularizer with Contextual Feedback
    Erkut Erdem
    Sibel Tari
    Journal of Mathematical Imaging and Vision, 2009, 33 : 67 - 84
  • [32] Mumford-shah regularizer with spatial coherence
    Erdem, Erkut
    Sancar-Yilmaz, Aysun
    Tari, Sibel
    SCALE SPACE AND VARIATIONAL METHODS IN COMPUTER VISION, PROCEEDINGS, 2007, 4485 : 545 - +
  • [33] Ahlfors regularity of Mumford-Shah quasiminima
    Siaudeau, A
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2003, 82 (12): : 1697 - 1731
  • [34] Flatness and finiteness in the Mumford-Shah problem
    Leger, JC
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1999, 78 (04): : 431 - 459
  • [35] An Algorithm for Minimizing the Mumford-Shah Functional
    Pock, Thomas
    Cremers, Daniel
    Bischof, Horst
    Chambolle, Antonin
    2009 IEEE 12TH INTERNATIONAL CONFERENCE ON COMPUTER VISION (ICCV), 2009, : 1133 - 1140
  • [36] Density lower bound estimates for local minimizers of the 2d Mumford-Shah energy
    De Lellis, Camillo
    Focardi, Matteo
    MANUSCRIPTA MATHEMATICA, 2013, 142 (1-2) : 215 - 232
  • [37] Hyperparameter selection for Discrete Mumford-Shah
    Lucas, Charles-Gerard
    Pascal, Barbara
    Pustelnik, Nelly
    Abry, Patrice
    SIGNAL IMAGE AND VIDEO PROCESSING, 2023, 17 (05) : 1897 - 1904
  • [38] Monotonicity and separation for the Mumford-Shah problem
    David, G
    Léger, JC
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2002, 19 (05): : 631 - 682
  • [39] Numerical minimization of the Mumford-Shah functional
    Negri, M
    Paolini, M
    CALCOLO, 2001, 38 (02) : 67 - 84
  • [40] The Mumford-Shah conjecture in image processing
    Morel, JM
    ASTERISQUE, 1997, (241) : 221 - 242
12345