Minimizers of anisotropic Rudin-Osher-Fatemi models

doi:10.1007/s11464-015-0489-4

Frontiers of Mathematics in China

2015, Vol. 10

Issue (6): 1355-1388 https://doi.org/10.1007/s11464-015-0489-4

本期目录

Minimizers of anisotropic Rudin-Osher-Fatemi models

Ruiling JIA,Meiyue JIANG(

)

LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China

全文: PDF(254 KB)

Abstract：

We give the explicit formulas of the minimizers of the anisotropic Rudin-Osher-Fatemi models

E1φ(u)=∫Ωφo(Du)dx+λ∫Ω|u−f|dx, u∈BV(Ω),E2φ(u)=∫Ωφo(Du)dx+λ∫Ω(u−f)2dx, u∈BV(Ω),

where Ω⊂?2 is a domain, φo is an anisotropic norm on ?2, and f is a solution of the anisotropic 1-Laplacian equations.

Key words： Anisotropic Rudin-Osher-Fatemi (ROF) model Euler-Lagrange equation φ-curvature')" href="#">

-curvature

收稿日期: 2015-01-29 出版日期: 2015-10-12

Corresponding Author(s): Meiyue JIANG

引用本文:

. [J]. Frontiers of Mathematics in China, 2015, 10(6): 1355-1388.
Ruiling JIA,Meiyue JIANG. Minimizers of anisotropic Rudin-Osher-Fatemi models. Front. Math. China, 2015, 10(6): 1355-1388.

链接本文:

https://academic.hep.com.cn/fmc/CN/10.1007/s11464-015-0489-4
https://academic.hep.com.cn/fmc/CN/Y2015/V10/I6/1355

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