Analysis and Application of a Nonlocal Hessian

DOI10.1137/140993818zbMath1330.94010arXiv1410.8825OpenAlexW1874609435MaRDI QIDQ3454488

Carola-Bibiane Schönlieb, Konstantinos Papafitsoros, Jan Lellmann, Daniel E. Spector

Publication date: 25 November 2015

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8825

zbMATH Keywords

variational methodsfast marching methodnonlocal total variation regularizationamoeba filtersnonlocal Hessian

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Variational inequalities (49J40) Variational methods applied to PDEs (35A15) Variational problems in a geometric measure-theoretic setting (49Q20) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods involving semicontinuity and convergence; relaxation (49J45) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Inverse problems in optimal control (49N45)

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