Concepedia

Variational Reconstruction

Variational Reconstruction is a mathematical framework within image reconstruction that formulates the recovery of images from incomplete or noisy data as an optimization problem constrained by a priori regularity conditions, distinguished from other reconstruction methods by its reliance on minimizing an energy functional that balances data fidelity and regularization.

132

Publications

7.3K

Citations

325

Authors

161

Institutions

Publications per year

2017–2026

40

Parents

Publications

132

A Variational Framework for Retinex

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

, , +8

A Variational Approach to Reconstructing Images Corrupted by Poisson Noise

Triet Le, Rick Chartrand, Thomas J. Asaki · Journal of Mathematical Imaging and Vision · 2007 · 418 citations

, , +14

Implicit and Nonparametric Shape Reconstruction from Unorganized Data Using a Variational Level Set Method

Hongkai Zhao, Stanley Osher, Barry Merriman et al. · Computer Vision and Image Understanding · 2000 · 303 citations

, , +15

A Combined First and Second Order Variational Approach for Image Reconstruction

Kostas Papafitsoros, Carola‐Bibiane Schönlieb · Journal of Mathematical Imaging and Vision · 2013 · 289 citations · Full text

, , +10

A Theoretical Framework for Convex Regularizers in PDE-Based Computation of Image Motion

Joachim Weickert, Christoph Schnörr · International Journal of Computer Vision · 2001 · 280 citations

, , +16

1–5 of 132

Authors

325

  1. MU
    Michaël Unser

    École Polytechnique Fédérale de Lausanne, Switzerland

    10 publications · 294 citations

    10

    h-index

  2. SM
    Simon Masnou

    Institut Camille Jordan, France

    4 publications · 219 citations

    4

    h-index

  3. KB
    Kristian Bredies

    University of Graz, Austria

    4 publications · 226 citations

    4

    h-index

  4. JK
    Jan Kybic

    Czech Technical University in Prague, Czechia

    4 publications · 140 citations

    4

    h-index

  5. CS
    Carola‐Bibiane Schönlieb

    University of Cambridge, United Kingdom

    3 publications · 371 citations

    3

    h-index

1–5 of 325

Institutions

161

  1. École Polytechnique Fédérale de Lausanne

    Lausanne, Switzerland

    11 h-index

    36 publications

    1K citations

  2. University of California, Los Angeles

    Los Angeles, United States

    5 h-index

    13 publications

    1.5K citations

  3. Tsinghua University

    Beijing, China

    4 h-index

    8 publications

    438 citations

  4. University of Graz

    Graz, Austria

    4 h-index

    7 publications

    412 citations

  5. University College London

    London, United Kingdom

    4 h-index

    18 publications

    2K citations

  6. Universitat Pompeu Fabra

    Barcelona, Spain

    4 h-index

    7 publications

    763 citations

  7. Georgia Institute of Technology

    Atlanta, United States

    4 h-index

    10 publications

    209 citations

  8. University of Cambridge

    Cambridge, United Kingdom

    3 h-index

    5 publications

    746 citations

1–8 of 161

Venues

  1. Journal of Mathematical Imaging and Vision

    9 publications · 964 citations

    9

    h-index

  2. IEEE Transactions on Image Processing

    8 publications · 547 citations

    9

    h-index

  3. SIAM Journal on Imaging Sciences

    SIIMS · 7 publications · 260 citations

    7

    h-index

  4. Inverse Problems

    6 publications · 271 citations

    6

    h-index

  5. IEEE Transactions on Signal Processing

    4 publications · 142 citations

    4

    h-index

1–5