Concepedia

Geometric Duality

Geometric Duality is a mathematical transformation in computational geometry that maps points to lines and lines to points in such a way that incidence and alignment relationships are preserved, enabling the reformulation of geometric problems—particularly in intersection detection—into dual spaces where algorithmic solutions may be more efficiently derived.

231

Publications

14.9K

Citations

401

Authors

223

Institutions

Publications per year

2017–2026

27

Parents

Publications

231

New edge-directed interpolation

Xin Li, M.T. Orchard · IEEE Transactions on Image Processing · 2001 · 2K citations

, , +15

Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Victor V. Batyrev · ArXiv.org · 1993 · 993 citations · Full text

, , +12

Superspace duality in low-energy superstrings

Warren Siegel · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1993 · 640 citations · Full text

, , +13

Illustrating smooth surfaces

Aaron Hertzmann, Denis Zorin · 2000 · 561 citations · Full text

, , +16

Geometric Langlands duality and representations of algebraic groups over commutative rings

Ivan Mirković, Kari Vilonen · Annals of Mathematics · 2007 · 471 citations · Full text

, , +11

1–5 of 231

Authors

401

  1. EW
    Edward Witten

    Institute for Advanced Study, United States

    4 publications · 105 citations

    4

    h-index

  2. IM
    Ivan Mirković

    University of Massachusetts Amherst, United States

    4 publications · 632 citations

    4

    h-index

  3. LG
    Leonidas Guibas

    Stanford University, United States

    4 publications · 572 citations

    4

    h-index

  4. GJ
    Gwanggil Jeon

    Incheon National University, South Korea

    3 publications · 67 citations

    3

    h-index

  5. RJ
    R. J. Duffin

    Carnegie Mellon University, United States

    3 publications · 219 citations

    3

    h-index

1–5 of 401

Institutions

223

  1. Massachusetts Institute of Technology

    Cambridge, United States

    9 h-index

    12 publications

    550 citations

  2. University of California, Berkeley

    Berkeley, United States

    7 h-index

    8 publications

    368 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    7 h-index

    10 publications

    316 citations

  4. Institute for Advanced Study

    Princeton, United States

    7 h-index

    10 publications

    1.5K citations

  5. Stanford University

    Stanford, United States

    7 h-index

    10 publications

    629 citations

  6. Tel Aviv University

    Tel Aviv, Israel

    5 h-index

    9 publications

    308 citations

  7. Brown University

    Providence, United States

    4 h-index

    4 publications

    382 citations

  8. European Organization for Nuclear Research

    Geneva, Switzerland

    4 h-index

    5 publications

    196 citations

1–8 of 223

Venues

  1. arXiv (Cornell University)

    Repository · 9 publications · 286 citations

    9

    h-index

  2. ArXiv.org

    Repository · 6 publications · 1.2K citations

    6

    h-index

  3. Mathematical Programming

    5 publications · 422 citations

    5

    h-index

  4. 5

    h-index

  5. Nuclear Physics B

    4 publications · 472 citations

    4

    h-index

1–5