Concepedia

Topological Guarantees

Topological Guarantees is a formal assurance in isosurface extraction methods that the computed surface is homeomorphic to the true isosurface of the underlying scalar field, thereby preserving the correct topological structure such as connectivity, genus, and adjacency of level sets.

19

Publications

649

Citations

53

Authors

36

Institutions

Publications per year

2017–2026

3

Parents

Publications

19

Vector field design on surfaces

Eugene Zhang, Konstantin Mischaikow, Greg Turk · ACM Transactions on Graphics · 2006 · 216 citations

, , +16

A topological proof of a surface tracking algorithm

Gábor T. Herman, Dallas Webster · Computer Vision Graphics and Image Processing · 1983 · 66 citations

, , +10

Practical considerations on Marching Cubes 33 topological correctness

Lis Custódio, Tiago Etiene, Sinésio Pesco et al. · Computers & Graphics · 2013 · 41 citations

, , +10

Topology guaranteeing manifold reconstruction using distance function to noisy data

Frédéric Chazal, André Lieutier · 2006 · 40 citations

, , +15

A worst-case bound for topology computation of algebraic curves

Michael Kerber, Michael Sagraloff · Journal of Symbolic Computation · 2011 · 34 citations

, , +16

1–5 of 19

Authors

53

  1. EA
    Edgar A. Ramos

    University of Illinois Urbana-Champaign, United States

    2 publications · 33 citations

    2

    h-index

  2. BS
    Bardia Sadri

    University of Illinois Urbana-Champaign, United States

    2 publications · 33 citations

    2

    h-index

  3. AL
    André Lieutier

    Dassault Systèmes (France), France

    2 publications · 65 citations

    2

    h-index

  4. DP
    Daniele Panozzo

    New York University, United States

    1 publications · 19 citations

    1

    h-index

  5. LA
    L.-E. Andersson

    Linköping University, Sweden

    1 publications · 24 citations

    1

    h-index

1–5 of 53

Institutions

36

  1. Polish Academy of Sciences

    Warsaw, Poland

    2 h-index

    2 publications

    34 citations

  2. Nicolaus Copernicus University

    Torun, Poland

    2 h-index

    2 publications

    34 citations

  3. University of Illinois Urbana-Champaign

    Urbana, United States

    2 h-index

    4 publications

    66 citations

  4. Dassault Systèmes (France)

    Vélizy-Villacoublay, France

    2 h-index

    2 publications

    65 citations

  5. Institute of Mathematics

    Warsaw, Poland

    2 h-index

    2 publications

    34 citations

  6. University of Freiburg

    Freiburg im Breisgau, Germany

    2 h-index

    2 publications

    34 citations

  7. The University of Texas at Austin

    Austin, United States

    1 h-index

    2 publications

    52 citations

  8. University of Connecticut

    Storrs, United States

    1 h-index

    1 publications

    24 citations

1–8 of 36

Venues

  1. ACM Transactions on Graphics

    TOG · 3 publications · 261 citations

    3

    h-index

  2. 1

    h-index

  3. Symposium on Discrete Algorithms

    Conference · 1 publications · 11 citations

    1

    h-index

  4. Theoretical Computer Science

    1 publications · 12 citations

    1

    h-index

  5. Computers & Graphics

    1 publications · 41 citations

    1

    h-index

1–5