Concepedia

Transformations In Three-dimensional Space

Transformations in Three-Dimensional Space is a mathematical framework that characterizes the systematic alteration of geometric entities through operations such as translation, rotation, scaling, and reflection within a three-dimensional Euclidean coordinate system.

503

Publications

29.5K

Citations

1.1K

Authors

548

Institutions

Publications per year

2017–2026

67

Variants

3D Geometric Transformations

Parents

Publications

503

Distance transformations in digital images

Gunilla Borgefors · Computer Vision Graphics and Image Processing · 1986 · 1.9K citations

, , +11

Distance transformations in arbitrary dimensions

Gunilla Borgefors · Computer Vision Graphics and Image Processing · 1984 · 777 citations

, , +7

Three-dimensional shape transformations of hydrogel sheets induced by small-scale modulation of internal stresses

Zi Liang Wu, Michael Moshe, Jesse Greener et al. · Nature Communications · 2013 · 600 citations · Full text

, , +17

Toward a three-dimensional automatic interpretation of potential field data via generalized Hilbert transforms; fundamental relations

Misac N. Nabighian · Geophysics · 1984 · 590 citations

, , +14

Multidimensional scaling of emotional responses to music: The effect of musical expertise and of the duration of the excerpts

Emmanuel Bigand, Sandrine Vieillard, François Madurell et al. · Cognition & Emotion · 2005 · 469 citations

, , +17

1–5 of 503

Authors

1.1K

  1. GB
    Gunilla Borgefors

    Swedish University of Agricultural Sciences, Sweden

    5 publications · 3K citations

    5

    h-index

  2. JF
    John F. Soechting

    University of Minnesota, United States

    5 publications · 808 citations

    5

    h-index

  3. CT
    C.A. Terzuolo

    University of Minnesota, United States

    3 publications · 228 citations

    3

    h-index

  4. DW
    Dae Won Yoon

    Gyeongsang National University, South Korea

    3 publications · 70 citations

    3

    h-index

  5. FL
    Francesco Lacquaniti

    Fondazione Santa Lucia, Italy

    3 publications · 471 citations

    3

    h-index

1–5 of 1.1K

Institutions

548

  1. Centre National de la Recherche Scientifique

    Paris, France

    7 h-index

    17 publications

    2.2K citations

  2. University of Minnesota

    Minneapolis, United States

    6 h-index

    11 publications

    2.2K citations

  3. University of Utah

    Salt Lake City, United States

    6 h-index

    9 publications

    1.2K citations

  4. Princeton University

    Princeton, United States

    5 h-index

    6 publications

    706 citations

  5. Delft University of Technology

    Delft, The Netherlands

    5 h-index

    11 publications

    1.6K citations

  6. University of Amsterdam

    Amsterdam, The Netherlands

    4 h-index

    6 publications

    305 citations

  7. Kyoto University

    Kyoto, Japan

    4 h-index

    7 publications

    691 citations

  8. University of California, Irvine

    Irvine, United States

    4 h-index

    6 publications

    253 citations

1–8 of 548

Venues

  1. Journal of Mathematical Physics

    10 publications · 295 citations

    10

    h-index

  2. Journal of Physics A Mathematical and General

    9 publications · 272 citations

    9

    h-index

  3. 7

    h-index

  4. Physical Review Letters

    PRL · 7 publications · 467 citations

    7

    h-index

  5. Geometry & Graphics

    5 publications · 85 citations

    5

    h-index

1–5