Concepedia

Affine Polyhedra

Affine Polyhedra is a geometric construct in affine geometry defined as a convex polyhedron characterized by its invariance under affine transformations, distinguished from other polyhedral forms by its preservation of parallelism and ratio of distances along lines, but not necessarily Euclidean distances or angles.

31

Publications

1.2K

Citations

55

Authors

32

Institutions

Publications per year

2017–2026

1

Parents

Publications

31

A control problem for affine dynamical systems on a full-dimensional polytope

L.C.G.J.M. Habets, Jan H. van Schuppen · Automatica · 2003 · 191 citations

, , +14

The centro-affine Minkowski problem for polytopes

Guangxian Zhu · Journal of Differential Geometry · 2015 · 125 citations · Full text

, , +10

Optimal complexity reduction of polyhedral piecewise affine systems

Tobias Geyer, Fabio Danilo Torrisi, Manfred Morari · Automatica · 2008 · 114 citations

, , +9

A criterion for the affine equivalence of cell complexes inR d and convex polyhedra inR d+1

Franz Aurenhammer · Discrete & Computational Geometry · 1987 · 84 citations · Full text

, , +13

A parameterized polyhedra approach for explicit constrained predictive control

Sorin Olaru, D. Dumur · 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) · 2004 · 51 citations

, , +14

1–5 of 31

Authors

55

  1. AT
    Anders Thorup

    University of Copenhagen, Denmark

    1 publications · 21 citations

    1

    h-index

  2. DK
    Deniz Kus

    University of Cologne, Germany

    1 publications · 11 citations

    1

    h-index

  3. RS
    Rolf Schneider

    University of Freiburg, Germany

    1 publications · 10 citations

    1

    h-index

  4. DD
    D. Dumur

    Supélec, France

    1 publications · 51 citations

    1

    h-index

  5. BJ
    Børge Jessen

    1 publications · 21 citations

    1

    h-index

1–5 of 55

Institutions

32

  1. Centrum Wiskunde & Informatica

    Amsterdam, The Netherlands

    3 h-index

    6 publications

    440 citations

  2. Eindhoven University of Technology

    Eindhoven, The Netherlands

    2 h-index

    2 publications

    213 citations

  3. University College London

    London, United Kingdom

    1 h-index

    1 publications

    10 citations

  4. Imperial College London

    London, United Kingdom

    1 h-index

    2 publications

    44 citations

  5. ETH Zurich

    Zurich, Switzerland

    1 h-index

    3 publications

    342 citations

  6. Karlsruhe Institute of Technology

    Karlsruhe, Germany

    1 h-index

    1 publications

    10 citations

  7. Ruhr University Bochum

    Bochum, Germany

    1 h-index

    2 publications

    68 citations

  8. UNSW Sydney

    Sydney, Australia

    1 h-index

    1 publications

    39 citations

1–8 of 32

Venues

  1. Automatica

    3 publications · 321 citations

    3

    h-index

  2. IEEE Transactions on Automatic Control

    2 publications · 34 citations

    2

    h-index

  3. Israel Journal of Mathematics

    2 publications · 45 citations

    2

    h-index

  4. Journal of Combinatorial Theory Series A

    2 publications · 61 citations

    2

    h-index

  5. Canadian Journal of Mathematics

    1 publications · 30 citations

    1

    h-index

1–5