Concepedia

Morse Theory Visualization

Morse Theory Visualization is a topological visualization method that interprets scalar field data by constructing visual representations based on the critical points and gradient flow structures derived from Morse theory.

8

Publications

526

Citations

26

Authors

19

Institutions

Publications per year

2017–2026

2

Parents

Publications

8

Lectures on Morse theory, old and new

Raoul Bott · Bulletin of the American Mathematical Society · 1982 · 250 citations · Full text

, , +14

Vector Field Editing and Periodic Orbit Extraction Using Morse Decomposition

Guoning Chen, Konstantin Mischaikow, Robert S. Laramee et al. · IEEE Transactions on Visualization and Computer Graphics · 2007 · 130 citations

, , +16

Applications of Forman's discrete Morse theory to topology visualization and mesh compression

Thomas Lewiner, Hélio Lopes, G. Tavares · IEEE Transactions on Visualization and Computer Graphics · 2004 · 73 citations

, , +17

Nontrivial solutions for impulsive fractional differential equations via Morse theory

Yulin Zhao, Haibo Chen, Chengjie Xu · Applied Mathematics and Computation · 2017 · 21 citations

, , +15

Multiple solutions of a superlinear<i>p</i>-Laplacian equation without AR-condition

Mingzheng Sun · Applicable Analysis · 2010 · 16 citations

, , +5

1–5 of 8

Authors

26

  1. OS
    Osamu Saeki

    Hiroshima University, Japan

    1 publications · 13 citations

    1

    h-index

  2. LE
    Luis Eduardo Osorio Acevedo

    Universidade de São Paulo, Brazil

    1 publications · 12 citations

    1

    h-index

  3. MS
    Mingzheng Sun

    North China University of Technology, China

    1 publications · 16 citations

    1

    h-index

  4. DS
    Daisuke Sakurai

    The University of Osaka, Japan

    1 publications · 13 citations

    1

    h-index

  5. KM
    Konstantin Mischaikow

    Georgia Institute of Technology, United States

    1 publications · 130 citations

    1

    h-index

1–5 of 26

Institutions

19

  1. Kyushu University

    Fukuoka, Japan

    1 h-index

    1 publications

    13 citations

  2. Peking University

    Beijing, China

    1 h-index

    1 publications

    16 citations

  3. Central South University

    Changsha, China

    1 h-index

    1 publications

    21 citations

  4. University of Leeds

    Leeds, United Kingdom

    1 h-index

    2 publications

    26 citations

  5. The University of Tokyo

    Tokyo, Japan

    1 h-index

    1 publications

    13 citations

  6. Japan Atomic Energy Agency

    Tōkai Mura, Japan

    1 h-index

    1 publications

    13 citations

  7. Kyoto University

    Kyoto, Japan

    1 h-index

    1 publications

    130 citations

  8. Universidade de São Paulo

    São Paulo, Brazil

    1 h-index

    1 publications

    12 citations

1–8 of 19

Venues

  1. IEEE Transactions on Visualization and Computer Graphics

    TVCG · 3 publications · 216 citations

    3

    h-index

  2. Applied Mathematics and Computation

    1 publications · 21 citations

    1

    h-index

  3. Communications on Pure &amp Applied Analysis

    1 publications · 11 citations

    1

    h-index

  4. Bulletin of the American Mathematical Society

    1 publications · 250 citations

    1

    h-index

  5. Nonlinear Analysis

    1 publications · 12 citations

    1

    h-index

1–5