Concepedia

Variational Curve Modeling

Variational Curve Modeling is a mathematical framework within curve modeling that formulates curve design and optimization as an energy minimization problem, where the shape of the curve is determined by minimizing a functional that balances fidelity to data constraints and intrinsic smoothness properties.

19

Publications

1.1K

Citations

37

Authors

28

Institutions

Publications per year

2017–2026

3

Parents

Publications

19

Euler's Elastica and Curvature-Based Inpainting

Jianhong Shen, Sung Ha Kang, Tony F. Chan · SIAM Journal on Applied Mathematics · 2003 · 613 citations

, , +13

Variational Curve Skeletons Using Gradient Vector Flow

M. Sabry Hassouna, Aly A. Farag · IEEE Transactions on Pattern Analysis and Machine Intelligence · 2008 · 95 citations

, , +15

Computational and qualitative aspects of evolution of curves driven by curvature and external force

Karol Mikula, Daniel Ševčovič · Computing and Visualization in Science · 2004 · 71 citations

, , +13

Approximation by curves of a unisolvent family

Th. Motzkin · Bulletin of the American Mathematical Society · 1949 · 58 citations · Full text

, , +8

A Variational Technique for Time Consistent Tracking of Curves and Motion

Nicolas Papadakis, Étienne Mémin · Journal of Mathematical Imaging and Vision · 2008 · 34 citations

, , +13

1–5 of 19

Authors

37

  1. JM
    Josep María Bofill

    Universitat de Barcelona, Spain

    3 publications · 58 citations

    3

    h-index

  2. WQ
    Wolfgang Quapp

    Leipzig University, Germany

    2 publications · 40 citations

    2

    h-index

  3. CP
    C. Perrey

    Ruhr University Bochum, Germany

    1 publications · 21 citations

    1

    h-index

  4. MS
    M. Sabry Hassouna

    University of Louisville, United States

    1 publications · 95 citations

    1

    h-index

  5. AA
    Antoni Aguilar‐Mogas

    Universitat de Barcelona, Spain

    1 publications · 18 citations

    1

    h-index

1–5 of 37

Institutions

28

  1. Universitat de Barcelona

    Barcelona, Spain

    3 h-index

    6 publications

    119 citations

  2. Leipzig University

    Leipzig, Germany

    2 h-index

    2 publications

    40 citations

  3. University of Minnesota

    Minneapolis, United States

    1 h-index

    1 publications

    613 citations

  4. Institute of Applied Mathematics

    Vladivostok, Russia

    1 h-index

    1 publications

    71 citations

  5. Northampton Community College

    Bethlehem, United States

    1 h-index

    3 publications

    36 citations

  6. Centrum Wiskunde & Informatica

    Amsterdam, The Netherlands

    1 h-index

    1 publications

    32 citations

  7. University of California, Los Angeles

    Los Angeles, United States

    1 h-index

    2 publications

    1.2K citations

  8. Gunma University

    Maebashi, Japan

    1 h-index

    1 publications

    11 citations

1–8 of 28

Venues

  1. SIAM Journal on Applied Mathematics

    1 publications · 613 citations

    1

    h-index

  2. Journal of Mathematical Imaging and Vision

    1 publications · 34 citations

    1

    h-index

  3. Computer Methods and Programs in Biomedicine

    1 publications · 12 citations

    1

    h-index

  4. Molecular Physics

    1 publications · 18 citations

    1

    h-index

  5. Theoretical Chemistry Accounts

    1 publications · 15 citations

    1

    h-index

1–5