Concepedia

Orthogonal Transformations

Orthogonal Transformation is a linear transformation that preserves the inner product between vectors, thereby maintaining lengths and angles, and is characterized by an orthogonal matrix whose inverse equals its transpose.

422

Publications

30.3K

Citations

810

Authors

426

Institutions

Publications per year

2017–2026

59

Parents

Publications

422

Visual pattern recognition by moment invariants

Ming-Kuei Hu · IRE Transactions on Information Theory · 1962 · 7.5K citations

, , +15

A Hessenberg-Schur method for the problem AX + XB= C

Gene H. Golub, Stephen Nash, Charles Van Loan · IEEE Transactions on Automatic Control · 1979 · 847 citations

, , +13

An adaptive filtering algorithm using an orthogonal projection to an affine subspace and its properties

Kazuhiko Ozeki, Tetsuo Umeda · Electronics and Communications in Japan (Part I Communications) · 1984 · 846 citations

, , +12

Orthogonal transforms for digital signal processing

K.R. Rao, N. Ahmed · 2005 · 837 citations

, , +4

The Discrete Cosine Transform

Gilbert Strang · SIAM Review · 1999 · 786 citations

, , +11

1–5 of 422

Authors

810

  1. AV
    A. Varga

    Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR), Germany

    9 publications · 231 citations

    9

    h-index

  2. DC
    Delin Chu

    National University of Singapore, Singapore

    8 publications · 209 citations

    8

    h-index

  3. VM
    Volker Mehrmann

    Technische Universität Berlin, Germany

    6 publications · 278 citations

    6

    h-index

  4. CB
    Christian Bischof

    Argonne National Laboratory, United States

    6 publications · 278 citations

    6

    h-index

  5. NM
    Nicola Mastronardi

    KU Leuven, Belgium

    5 publications · 115 citations

    5

    h-index

1–5 of 810

Institutions

426

  1. University of California, Berkeley

    Berkeley, United States

    10 h-index

    14 publications

    1.8K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    14 publications

    239 citations

  3. Stanford University

    Stanford, United States

    7 h-index

    15 publications

    2.4K citations

  4. National University of Singapore

    Singapore, Singapore

    7 h-index

    11 publications

    273 citations

  5. The University of Sydney

    Sydney, Australia

    5 h-index

    5 publications

    157 citations

  6. University of Perugia

    Perugia, Italy

    5 h-index

    13 publications

    577 citations

  7. Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)

    Cologne, Germany

    5 h-index

    5 publications

    95 citations

  8. University of Maryland, College Park

    College Park, United States

    4 h-index

    7 publications

    292 citations

1–8 of 426

Venues

  1. SIAM Journal on Matrix Analysis and Applications

    21 publications · 846 citations

    17

    h-index

  2. IEEE Transactions on Automatic Control

    14 publications · 1.5K citations

    14

    h-index

  3. Linear Algebra and its Applications

    12 publications · 642 citations

    11

    h-index

  4. arXiv (Cornell University)

    Repository · 8 publications · 496 citations

    8

    h-index

  5. Journal of Mathematical Physics

    6 publications · 202 citations

    6

    h-index

1–5