Concepedia

Variational Regularization

Variational Regularization is a mathematical framework within variational optimization that introduces auxiliary constraints or penalty functionals into an objective functional to ensure well-posedness, stability, and convergence of solutions in ill-posed or high-dimensional inference problems.

488

Publications

25.6K

Citations

1.1K

Authors

550

Institutions

Publications per year

2017–2026

164

Parents

Publications

488

An Iterative Regularization Method for Total Variation-Based Image Restoration

Stanley Osher, Martin Burger, Donald Goldfarb et al. · Multiscale Modeling and Simulation · 2005 · 1.8K citations

, , +16

Image recovery via total variation minimization and related problems

Antonin Chambolle, Pierre‐Louis Lions · Numerische Mathematik · 1997 · 1.6K citations

, , +12

Regularization of Inverse Visual Problems Involving Discontinuities

Demetri Terzopoulos · IEEE Transactions on Pattern Analysis and Machine Intelligence · 1986 · 767 citations

, , +11

A Variational Framework for Retinex

Ron Kimmel, Michael Elad, Doron Shaked et al. · International Journal of Computer Vision · 2003 · 696 citations

, , +8

Total variation based image restoration with free local constraints

L. Rudin, Stanley Osher · 2002 · 668 citations

, , +14

1–5 of 488

Authors

1.1K

  1. CS
    Carola‐Bibiane Schönlieb

    University of Cambridge, United Kingdom

    11 publications · 554 citations

    11

    h-index

  2. MB
    Martin Burger

    University of Münster, Germany

    12 publications · 2.5K citations

    11

    h-index

  3. MU
    Michaël Unser

    École Polytechnique Fédérale de Lausanne, Switzerland

    10 publications · 717 citations

    10

    h-index

  4. SO
    Stanley Osher

    University of California, Los Angeles, United States

    8 publications · 3.3K citations

    8

    h-index

  5. GP
    Gabriel Peyré

    Centre de Recherche en Mathématiques de la Décision, France

    7 publications · 848 citations

    7

    h-index

1–5 of 1.1K

Institutions

550

  1. University of Cambridge

    Cambridge, United Kingdom

    13 h-index

    33 publications

    1.5K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    13 h-index

    28 publications

    5.3K citations

  3. University of California, Los Angeles

    Los Angeles, United States

    11 h-index

    20 publications

    1.8K citations

  4. École Polytechnique Fédérale de Lausanne

    Lausanne, Switzerland

    11 h-index

    32 publications

    1.8K citations

  5. University of Graz

    Graz, Austria

    10 h-index

    15 publications

    650 citations

  6. Johannes Kepler University of Linz

    Linz, Austria

    8 h-index

    8 publications

    2.5K citations

  7. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    8 h-index

    15 publications

    2.2K citations

  8. Chongqing University

    Chongqing, China

    8 h-index

    14 publications

    434 citations

1–8 of 550

Venues

  1. Inverse Problems

    35 publications · 1.6K citations

    23

    h-index

  2. SIAM Journal on Imaging Sciences

    SIIMS · 25 publications · 1.8K citations

    21

    h-index

  3. IEEE Transactions on Image Processing

    22 publications · 1.8K citations

    19

    h-index

  4. arXiv (Cornell University)

    Repository · 20 publications · 967 citations

    14

    h-index

  5. Journal of Mathematical Imaging and Vision

    13 publications · 416 citations

    12

    h-index

1–5