Concepedia

Piecewise Rational Representation

Piecewise Rational Representation is a mathematical modeling technique that belongs to the class of geometric representation methods, distinguished by its use of rational polynomial functions defined over partitioned parameter domains to accurately describe complex free-form shapes in NURBS modeling.

42

Publications

2.4K

Citations

80

Authors

53

Institutions

Publications per year

2017–2026

2

Parents

Publications

42

On NURBS: a survey

Les A. Piegl · IEEE Computer Graphics and Applications · 1991 · 738 citations

, , +16

Solving Zero-Dimensional Systems Through the Rational Univariate Representation

Fabrice Rouillier · Applicable Algebra in Engineering Communication and Computing · 1999 · 373 citations

, , +11

Control of rational systems using linear-fractional representations and linear matrix inequalities

Laurent El Ghaoui, Gérard Scorletti · Automatica · 1996 · 195 citations

, , +11

Computer-Aided Design With Spatial Rational B-Spline Motions

B. Ju ̈ttler, Michael Wagner · Journal of Mechanical Design · 1996 · 120 citations

, , +16

A Rational Basis for Function Approximation

Eugene L. Wachspress · IMA Journal of Applied Mathematics · 1971 · 67 citations

, , +13

1–5 of 42

Authors

80

  1. FC
    Falai Chen

    University of Science and Technology of China, China

    4 publications · 141 citations

    4

    h-index

  2. FR
    Fabrice Rouillier

    Institut national de recherche en sciences et technologies du numérique, France

    3 publications · 421 citations

    3

    h-index

  3. YB
    Yacine Bouzidi

    Institut national de recherche en sciences et technologies du numérique, France

    2 publications · 48 citations

    2

    h-index

  4. GX
    Guoliang Xu

    Chinese Academy of Sciences, China

    2 publications · 32 citations

    2

    h-index

  5. MS
    Muhammad Sarfraz

    King Fahd University of Petroleum and Minerals, Saudi Arabia

    2 publications · 98 citations

    2

    h-index

1–5 of 80

Institutions

53

  1. University of Science and Technology of China

    Hefei, China

    4 h-index

    4 publications

    141 citations

  2. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    3 h-index

    10 publications

    594 citations

  3. Chinese Academy of Sciences

    Beijing, China

    3 h-index

    3 publications

    51 citations

  4. Laboratoire Lorrain de Recherche en Informatique et ses Applications

    Nancy, France

    3 h-index

    8 publications

    546 citations

  5. University of Dundee

    Dundee, United Kingdom

    3 h-index

    3 publications

    205 citations

  6. Zhejiang University

    Hangzhou, China

    2 h-index

    3 publications

    70 citations

  7. Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Paris, France

    2 h-index

    2 publications

    48 citations

  8. Brigham Young University

    Provo, United States

    2 h-index

    2 publications

    62 citations

1–8 of 53

Venues

  1. Computer Aided Geometric Design

    5 publications · 86 citations

    5

    h-index

  2. 3

    h-index

  3. Journal of Symbolic Computation

    2 publications · 55 citations

    2

    h-index

  4. IMA Journal of Applied Mathematics

    2 publications · 92 citations

    2

    h-index

  5. SIAM Journal on Numerical Analysis

    2 publications · 63 citations

    2

    h-index

1–5