Concepedia

Topological Shape Analysis

Topological Shape Analysis is a mathematical framework within shape analysis that characterizes shapes based on their topological invariants—such as connected components, holes, and voids—under continuous deformations, distinguishing it from geometric or metric-based approaches by focusing on qualitative spatial properties preserved under homeomorphisms.

211

Publications

16.4K

Citations

682

Authors

360

Institutions

Publications per year

2017–2026

60

Parents

Publications

211

Applied Topological Analysis of Crystal Structures with the Program Package ToposPro

Vladislav A. Blatov, Alexander P. Shevchenko, Davide Μ. Proserpio · Crystal Growth & Design · 2014 · 3.1K citations · Full text

, , +16

Topological structural analysis of digitized binary images by border following

Satoshi Suzuki, KeiichiA be · Computer Vision Graphics and Image Processing · 1985 · 2.6K citations

, , +14

Geometrically Accurate Topology-Correction of Cortical Surfaces Using Nonseparating Loops

Florent Ségonne, Jenni Pacheco, Bruce Fischl · IEEE Transactions on Medical Imaging · 2007 · 1K citations

, , +13

Finite topology as applied to image analysis

Vladimir Kovalevsky · Computer Vision Graphics and Image Processing · 1989 · 455 citations

, , +11

T-snakes: Topology adaptive snakes

Tim McInerney, Demetri Terzopoulos · Medical Image Analysis · 2000 · 413 citations

, , +5

1–5 of 211

Authors

682

  1. PG
    Paul G. Mezey

    University of Saskatchewan, Canada

    6 publications · 204 citations

    6

    h-index

  2. VA
    Vladislav A. Blatov

    Samara National Research University, Russia

    6 publications · 3.3K citations

    6

    h-index

  3. GD
    G. D. Ilyushin

    A.V. Shubnikov Institute of Crystallography, Russia

    4 publications · 106 citations

    4

    h-index

  4. AP
    Alexander P. Shevchenko

    Samara National Research University, Russia

    3 publications · 3.2K citations

    3

    h-index

  5. MM
    Michael M. Bronstein

    Università della Svizzera italiana, Switzerland

    3 publications · 61 citations

    3

    h-index

1–5 of 682

Institutions

360

  1. Centre National de la Recherche Scientifique

    Paris, France

    7 h-index

    24 publications

    579 citations

  2. Massachusetts Institute of Technology

    Cambridge, United States

    7 h-index

    10 publications

    1.7K citations

  3. The Ohio State University

    Columbus, United States

    5 h-index

    11 publications

    450 citations

  4. Technion – Israel Institute of Technology

    Haifa, Israel

    5 h-index

    8 publications

    170 citations

  5. University of Utah

    Salt Lake City, United States

    5 h-index

    9 publications

    188 citations

  6. Chinese Academy of Sciences

    Beijing, China

    4 h-index

    8 publications

    190 citations

  7. Université de Lorraine

    Nancy, France

    4 h-index

    5 publications

    456 citations

  8. Samara National Research University

    Samara, Russia

    4 h-index

    5 publications

    183 citations

1–8 of 360

Venues

  1. arXiv (Cornell University)

    Repository · 5 publications · 244 citations

    5

    h-index

  2. Crystallography Reports

    4 publications · 106 citations

    4

    h-index

  3. Computer-Aided Design

    4 publications · 390 citations

    4

    h-index

  4. Computer Vision Graphics and Image Processing

    4 publications · 3.4K citations

    4

    h-index

  5. Scientific Reports

    3 publications · 52 citations

    3

    h-index

1–5