Concepedia

Reflection Transformations

Reflection Transformations is a geometric operation in perspective geometry that belongs to the class of rigid transformations and is distinguished by its property of mapping each point of a figure to a corresponding point on the opposite side of a fixed plane or line, such that the plane or line acts as a mirror, preserving distances and angles while reversing orientation.

37

Publications

3.1K

Citations

77

Authors

55

Institutions

Publications per year

2017–2026

7

Parents

Publications

37

Finite Unitary Reflection Groups

G. C. Shephard, John A. Todd · Canadian Journal of Mathematics · 1954 · 1.1K citations · Full text

, , +12

Invariants of Finite Groups Generated by Reflections

Claude Chevalley · American Journal of Mathematics · 1955 · 693 citations

, , +7

Geometrical transformations in optics*

Olof Bryngdahl · Journal of the Optical Society of America · 1974 · 270 citations

, , +16

Transformation-Equivariant 3D Object Detection for Autonomous Driving

Wu Hai, Chenglu Wen, Wei Li et al. · Proceedings of the AAAI Conference on Artificial Intelligence · 2023 · 131 citations · Full text

, , +17

Deformed Heisenberg algebra with reflection

Mikhail S. Plyushchay · Nuclear Physics B · 1997 · 129 citations · Full text

, , +12

1–5 of 37

Authors

77

  1. CW
    Cheng Wang

    Xiamen University, China

    2 publications · 144 citations

    2

    h-index

  2. WL
    Wei Li

    Beijing Institute of Technology, China

    2 publications · 144 citations

    2

    h-index

  3. XL
    Xin Li

    Louisiana State University, United States

    2 publications · 144 citations

    2

    h-index

  4. RY
    Ruigang Yang

    University of Kentucky, United States

    2 publications · 144 citations

    2

    h-index

  5. WH
    Wu Hai

    University of Hong Kong, Hong Kong SAR China

    2 publications · 144 citations

    2

    h-index

1–5 of 77

Institutions

55

  1. University of Cambridge

    Cambridge, United Kingdom

    3 h-index

    3 publications

    1.2K citations

  2. University of Manchester

    Manchester, United Kingdom

    2 h-index

    4 publications

    134 citations

  3. Massachusetts Institute of Technology

    Cambridge, United States

    2 h-index

    2 publications

    28 citations

  4. University of Lisbon

    Lisbon, Portugal

    2 h-index

    4 publications

    56 citations

  5. Purdue University West Lafayette

    West Lafayette, United States

    2 h-index

    2 publications

    34 citations

  6. Guangxi Minzu University

    Nanning, China

    1 h-index

    1 publications

    15 citations

  7. Universidade Nova de Lisboa

    Lisbon, Portugal

    1 h-index

    1 publications

    14 citations

  8. Friedrich-Alexander-Universität Erlangen-Nürnberg

    Erlangen, Germany

    1 h-index

    1 publications

    16 citations

1–8 of 55

Venues

  1. Nuclear Physics B

    2 publications · 188 citations

    2

    h-index

  2. American Journal of Mathematics

    1 publications · 693 citations

    1

    h-index

  3. 1

    h-index

  4. 1

    h-index

  5. Linear Algebra and its Applications

    1 publications · 36 citations

    1

    h-index

1–5