Concepedia

Implicitization Of Parametric Curves

Implicitization of Parametric Curves is the mathematical process of converting a parametric representation of a curve into an implicit algebraic equation that characterizes the same geometric locus.

28

Publications

1.1K

Citations

44

Authors

31

Institutions

Publications per year

2017–2026

0

Parents

Publications

28

Implicitization using moving curves and surfaces

Thomas W. Sederberg, Falai Chen · 1995 · 202 citations

, , +16

Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves

Ron Goldman, Thomas W. Sederberg, David C. Anderson · Computer Aided Geometric Design · 1984 · 87 citations

, , +14

Implicitizing Rational Curves by the Method of Moving Algebraic Curves

Tom Sederberg, Ron Goldman, Hang Du · Journal of Symbolic Computation · 1997 · 85 citations

, , +12

Implicit curves and surfaces in CAGD

Christoph M. Hoffmann · IEEE Computer Graphics and Applications · 1993 · 81 citations

, , +17

The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>μ</mml:mi></mml:math>-basis and implicitization of a rational parametric surface

Falai Chen, David Cox, Yang Liu · Journal of Symbolic Computation · 2005 · 74 citations

, , +13

1–5 of 28

Authors

44

  1. TW
    Thomas W. Sederberg

    Brigham Young University, United States

    5 publications · 400 citations

    5

    h-index

  2. CM
    Christoph M. Hoffmann

    Purdue University West Lafayette, United States

    3 publications · 129 citations

    3

    h-index

  3. RG
    Ronald Goldman

    Rice University, United States

    2 publications · 72 citations

    2

    h-index

  4. FC
    Falai Chen

    University of Science and Technology of China, China

    2 publications · 276 citations

    2

    h-index

  5. XG
    Xiao-Shan Gao

    Chinese Academy of Sciences, China

    2 publications · 28 citations

    2

    h-index

1–5 of 44

Institutions

31

  1. Brigham Young University

    Provo, United States

    6 h-index

    9 publications

    712 citations

  2. Purdue University West Lafayette

    West Lafayette, United States

    4 h-index

    8 publications

    526 citations

  3. University of Science and Technology of China

    Hefei, China

    2 h-index

    2 publications

    276 citations

  4. University of Hong Kong

    Pok Fu Lam, Hong Kong

    2 h-index

    2 publications

    98 citations

  5. Universidad de Cantabria

    Santander, Spain

    2 h-index

    3 publications

    84 citations

  6. Johannes Kepler University of Linz

    Linz, Austria

    2 h-index

    3 publications

    53 citations

  7. Ardent Sound (United States)

    Mesa, United States

    2 h-index

    4 publications

    292 citations

  8. Cardiff University

    Cardiff, United Kingdom

    1 h-index

    1 publications

    15 citations

1–8 of 31

Venues

  1. Journal of Symbolic Computation

    8 publications · 285 citations

    8

    h-index

  2. Computer Aided Geometric Design

    6 publications · 279 citations

    6

    h-index

  3. ACM Transactions on Graphics

    TOG · 2 publications · 92 citations

    2

    h-index

  4. IEEE Computer Graphics and Applications

    2 publications · 122 citations

    2

    h-index

  5. The Visual Computer

    1 publications · 15 citations

    1

    h-index

1–5