Concepedia

Curvature Continuity

Curvature Continuity is a geometric continuity condition that ensures the smoothness of a curve or surface by maintaining consistent curvature values across parametric intervals, distinguishing it from lower-order continuity forms by requiring the second derivative to vary continuously.

88

Publications

3.6K

Citations

164

Authors

82

Institutions

Publications per year

2017–2026

14

Variants

C2 Continuity

Parents

Publications

88

Problems in harmonic analysis related to curvature

Elias M. Stein, Stephen Wainger · Bulletin of the American Mathematical Society · 1978 · 524 citations · Full text

, , +13

On the curvature of piecewise flat spaces

Jeff Cheeger, W. M. M�ller, Robert Schrader · Communications in Mathematical Physics · 1984 · 343 citations

, , +10

Geometric continuity of parametric curves: three equivalent characterizations

Brian A. Barsky, Tony DeRose · IEEE Computer Graphics and Applications · 1989 · 165 citations

, , +16

Curvature continuous curves and surfaces

Wolfgang Boehm · Computer Aided Geometric Design · 1985 · 127 citations

, , +11

Smooth Local-Path Planning for Autonomous Vehicles1

Yutaka Kanayama, Bruce I. Hartman · The International Journal of Robotics Research · 1997 · 113 citations

, , +14

1–5 of 88

Authors

164

  1. PM
    Pierre Melchior

    Université de Bordeaux, France

    6 publications · 129 citations

    6

    h-index

  2. AO
    A. Oustaloup

    Université de Bordeaux, France

    4 publications · 99 citations

    4

    h-index

  3. DT
    Dong-Ho Tsai

    National Tsing Hua University, Taiwan

    3 publications · 69 citations

    3

    h-index

  4. AP
    A. Poty

    Université de Bordeaux, France

    3 publications · 73 citations

    3

    h-index

  5. AA
    Ahmed A. Shabana

    University of Illinois Chicago, United States

    3 publications · 85 citations

    3

    h-index

1–5 of 164

Institutions

82

  1. Université de Bordeaux

    Bordeaux, France

    6 h-index

    18 publications

    395 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    14 publications

    299 citations

  3. University of Stuttgart

    Stuttgart, Germany

    3 h-index

    4 publications

    120 citations

  4. University of Illinois Chicago

    Chicago, United States

    3 h-index

    4 publications

    109 citations

  5. McGill University

    Montreal, Canada

    2 h-index

    3 publications

    86 citations

  6. Tongji University

    Shanghai, China

    2 h-index

    2 publications

    39 citations

  7. Massachusetts Institute of Technology

    Cambridge, United States

    2 h-index

    2 publications

    64 citations

  8. École Nationale d'Ingénieurs de Gabès

    Gabès, Tunisia

    2 h-index

    6 publications

    90 citations

1–8 of 82

Venues

  1. Computer Aided Geometric Design

    7 publications · 333 citations

    7

    h-index

  2. Computer-Aided Design

    4 publications · 116 citations

    4

    h-index

  3. Pacific Journal of Mathematics

    3 publications · 66 citations

    3

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 3 publications · 102 citations

    3

    h-index

  5. Annals of Global Analysis and Geometry

    3 publications · 89 citations

    3

    h-index

1–5