Concepedia

Cellular Decomposition

Cellular Decomposition is a topological construction method that partitions a topological space into disjoint subsets called cells, each homeomorphic to an open ball, such that the closure of each cell is contained in a finite union of cells of lower or equal dimension.

125

Publications

5K

Citations

251

Authors

123

Institutions

Publications per year

2017–2026

17

Variants

Cw Decomposition

Parents

Publications

125

Survey on Coverage Path Planning with Unmanned Aerial Vehicles

Tauã M. Cabreira, Lisane Brisolara, Paulo R. Ferreira · Drones · 2019 · 566 citations · Full text

, , +13

Coverage of Known Spaces: The Boustrophedon Cellular Decomposition

Howie Choset · Autonomous Robots · 2000 · 482 citations

, , +7

Shellable Decompositions of Cells and Spheres.

H. Bruggesser, P. Mani · MATHEMATICA SCANDINAVICA · 1971 · 314 citations · Full text

, , +5

Coverage path planning for UAVs based on enhanced exact cellular decomposition method

Yan Li, Chen Hai, Meng Joo Er et al. · Mechatronics · 2011 · 219 citations

, , +13

Shrinking Cell-Like Decompositions of Manifolds. Codimension Three

J. W. Cannon · Annals of Mathematics · 1979 · 209 citations

, , +9

1–5 of 125

Authors

251

  1. SA
    Steve Armentrout

    Pennsylvania State University, United States

    6 publications · 171 citations

    6

    h-index

  2. RJ
    Robert J. Daverman

    University of Tennessee at Knoxville, United States

    5 publications · 87 citations

    5

    h-index

  3. HC
    Howie Choset

    Carnegie Mellon University, United States

    4 publications · 229 citations

    4

    h-index

  4. EA
    Erdem Acar

    TOBB University of Economics and Technology, Türkiye

    3 publications · 183 citations

    3

    h-index

  5. KR
    K. R. Guruprasad

    National Institute of Technology Karnataka, India

    3 publications · 83 citations

    3

    h-index

1–5 of 251

Institutions

123

  1. Massachusetts Institute of Technology

    Cambridge, United States

    3 h-index

    6 publications

    287 citations

  2. Carnegie Mellon University

    Pittsburgh, United States

    3 h-index

    10 publications

    606 citations

  3. Pohang University of Science and Technology

    Pohang, South Korea

    3 h-index

    8 publications

    511 citations

  4. National Institute of Technology Karnataka

    Mangaluru, India

    3 h-index

    4 publications

    100 citations

  5. University of Tennessee at Knoxville

    Knoxville, United States

    3 h-index

    4 publications

    99 citations

  6. Tulane University

    New Orleans, United States

    3 h-index

    3 publications

    41 citations

  7. University of Southern California

    Los Angeles, United States

    3 h-index

    13 publications

    216 citations

  8. University of Miami

    Coral Gables, United States

    2 h-index

    4 publications

    55 citations

1–8 of 123

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 8 publications · 135 citations

    8

    h-index

  2. Pacific Journal of Mathematics

    5 publications · 101 citations

    5

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 4 publications · 59 citations

    4

    h-index

  4. Annals of Mathematics

    4 publications · 373 citations

    4

    h-index

  5. Russian Mathematical Surveys

    3 publications · 149 citations

    3

    h-index

1–5