Concepedia

Quaternion-based Transformations

Quaternion-Based Transformations is a coordinate transformation method that uses quaternions—hypercomplex numbers with one real and three imaginary components—to represent and compute rotations in three-dimensional space, distinguishing itself from other rotation methods by avoiding gimbal lock and enabling smooth interpolation through the algebraic properties of unit quaternions.

158

Publications

10K

Citations

385

Authors

227

Institutions

Publications per year

2017–2026

50

Parents

Publications

158

Closed-form solution of absolute orientation using orthonormal matrices

Berthold K. P. Horn, Hugh M. Hilden, S. Negahdaripour · Journal of the Optical Society of America A · 1988 · 1.1K citations

, , +16

Hypercomplex Fourier Transforms of Color Images

Todd A. Ell, Stephen J. Sangwine · IEEE Transactions on Image Processing · 2006 · 640 citations

, , +15

Operational Space Control: A Theoretical and Empirical Comparison

Jun Nakanishi, Rick Cory, Michael Mistry et al. · The International Journal of Robotics Research · 2008 · 385 citations

, , +16

Using quaternions to calculate RMSD

Evangelos A. Coutsias, Chaok Seok, Ken A. Dill · Journal of Computational Chemistry · 2004 · 372 citations

, , +12

Fourier transforms of colour images usingquaternion or hypercomplex, numbers

Stephen J. Sangwine · Electronics Letters · 1996 · 351 citations

, , +14

1–5 of 158

Authors

385

  1. SJ
    Stephen J. Sangwine

    University of Essex, United Kingdom

    6 publications · 1.2K citations

    6

    h-index

  2. AH
    Aamir H. Dar

    Islamic University of Science and Technology, India

    3 publications · 47 citations

    3

    h-index

  3. IY
    Itzhack Y. Bar‐Itzhack

    Technion – Israel Institute of Technology, Israel

    4 publications · 123 citations

    3

    h-index

  4. GC
    Gouenou Coatrieux

    Inserm, France

    3 publications · 309 citations

    3

    h-index

  5. MY
    M. Younus Bhat

    Islamic University of Science and Technology, India

    3 publications · 47 citations

    3

    h-index

1–5 of 385

Institutions

227

  1. Imperial College London

    London, United Kingdom

    4 h-index

    8 publications

    778 citations

  2. University of Essex

    Colchester, United Kingdom

    4 h-index

    4 publications

    825 citations

  3. China University of Mining and Technology

    Xuzhou, China

    3 h-index

    4 publications

    98 citations

  4. Inserm

    Paris, France

    3 h-index

    6 publications

    883 citations

  5. University of Reading

    Reading, United Kingdom

    3 h-index

    3 publications

    415 citations

  6. Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional

    Mexico City, Mexico

    3 h-index

    7 publications

    131 citations

  7. Shanghai Jiao Tong University

    Shanghai, China

    3 h-index

    7 publications

    103 citations

  8. University of Macau

    Macao, Macao

    3 h-index

    4 publications

    95 citations

1–8 of 227

Venues

  1. arXiv (Cornell University)

    Repository · 6 publications · 282 citations

    6

    h-index

  2. Advances in Applied Clifford Algebras

    AACA · 4 publications · 55 citations

    4

    h-index

  3. Mechanism and Machine Theory

    4 publications · 108 citations

    4

    h-index

  4. IEEE Transactions on Robotics and Automation

    3 publications · 307 citations

    3

    h-index

  5. Signal Processing

    3 publications · 91 citations

    3

    h-index

1–5