Concepedia

Loop-closure Equations

Loop-Closure Equations is a mathematical framework within closed-chain kinematics that enforces kinematic constraints by equating the composite transformations along a closed-loop path to the identity transformation, thereby ensuring spatial consistency of interconnected rigid bodies.

71

Publications

4.7K

Citations

148

Authors

99

Institutions

Publications per year

2017–2026

11

Parents

Publications

71

Loop equations and 1N expansion

Alexander Migdal · Physics Reports · 1983 · 509 citations

, , +6

Loop equations and Virasoro constraints in non-perturbative two-dimensional quantum gravity

Robbert Dijkgraaf, Herman Verlinde, Erik Verlinde · Nuclear Physics B · 1991 · 491 citations

, , +11

Visual-inertial navigation, mapping and localization: A scalable real-time causal approach

Eagle Jones, Stefano Soatto · The International Journal of Robotics Research · 2011 · 435 citations

, , +16

A kinematic view of loop closure

Evangelos A. Coutsias, Chaok Seok, Matthew P. Jacobson et al. · Journal of Computational Chemistry · 2004 · 308 citations

, , +16

THE APPEARANCE OF MATTER FIELDS FROM QUANTUM FLUCTUATIONS OF 2D-GRAVITY

Vladimir Kazakov · Modern Physics Letters A · 1989 · 297 citations

, , +13

1–5 of 71

Authors

148

  1. BE
    Bertrand Eynard

    Institut de Physique Théorique, France

    4 publications · 217 citations

    4

    h-index

  2. AM
    Ashok Midha

    Purdue University West Lafayette, United States

    3 publications · 217 citations

    3

    h-index

  3. JM
    John M. Hollerbach

    University of Utah, United States

    2 publications · 347 citations

    2

    h-index

  4. QJ
    Q. J. Ge

    Stony Brook University, United States

    2 publications · 40 citations

    2

    h-index

  5. CM
    Constantinos Mavroidis

    Northeastern University, United States

    2 publications · 58 citations

    2

    h-index

1–5 of 148

Institutions

99

  1. Massachusetts Institute of Technology

    Cambridge, United States

    4 h-index

    9 publications

    468 citations

  2. Commissariat à l'Énergie Atomique et aux Énergies Alternatives

    Paris, France

    4 h-index

    6 publications

    296 citations

  3. Institut de Physique Théorique

    Gif-sur-Yvette, France

    4 h-index

    6 publications

    296 citations

  4. University of Oxford

    Oxford, United Kingdom

    3 h-index

    6 publications

    1.2K citations

  5. Purdue University West Lafayette

    West Lafayette, United States

    3 h-index

    6 publications

    277 citations

  6. Stony Brook University

    Stony Brook, United States

    3 h-index

    8 publications

    220 citations

  7. CEA Paris-Saclay

    Gif-sur-Yvette, France

    3 h-index

    5 publications

    162 citations

  8. The University of Sydney

    Sydney, Australia

    2 h-index

    2 publications

    45 citations

1–8 of 99

Venues

  1. Journal of Mechanical Design

    8 publications · 377 citations

    8

    h-index

  2. Nuclear Physics B

    4 publications · 575 citations

    4

    h-index

  3. arXiv (Cornell University)

    Repository · 3 publications · 75 citations

    3

    h-index

  4. Journal of Computational Chemistry

    2 publications · 416 citations

    2

    h-index

  5. IEEE Transactions on Robotics and Automation

    2 publications · 347 citations

    2

    h-index

1–5