Concepedia

Implicit Curve Modeling

Implicit Curve Modeling is a mathematical representation method that defines a curve as the zero level set of a continuous scalar-valued implicit function, distinguishing it from parametric curve modeling by encoding geometric shapes through implicit equations rather than explicit parameterizations.

49

Publications

2.3K

Citations

97

Authors

66

Institutions

Publications per year

2017–2026

5

Parents

Publications

49

Curvature formulas for implicit curves and surfaces

Ron Goldman · Computer Aided Geometric Design · 2005 · 442 citations

, , +13

Implicitization using moving curves and surfaces

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

, , +16

Efficient topology determination of implicitly defined algebraic plane curves

Laureano González-Vega, Ioana Necula · Computer Aided Geometric Design · 2002 · 162 citations

, , +11

The 3L algorithm for fitting implicit polynomial curves and surfaces to data

Michael M. Blane, Zhibin Lei, Hakan Civi et al. · IEEE Transactions on Pattern Analysis and Machine Intelligence · 2000 · 148 citations

, , +16

Particle Filtering for Geometric Active Contours with Application to Tracking Moving and Deforming Objects

Yogesh Rathi, Namrata Vaswani, Allen Tannenbaum et al. · 2005 · 104 citations

, , +16

1–5 of 49

Authors

97

  1. MC
    Marie‐Paule Cani

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

    3 publications · 198 citations

    3

    h-index

  2. MM
    Michael M. Blane

    Brown University, United States

    3 publications · 234 citations

    3

    h-index

  3. ZL
    Zhibin Lei

    Shaanxi Normal University, China

    3 publications · 218 citations

    3

    h-index

  4. TW
    Thomas W. Sederberg

    Brigham Young University, United States

    3 publications · 272 citations

    3

    h-index

  5. DB
    David B. Cooper

    Brown University, United States

    3 publications · 218 citations

    3

    h-index

1–5 of 97

Institutions

66

  1. Brigham Young University

    Provo, United States

    4 h-index

    5 publications

    351 citations

  2. University of British Columbia

    Vancouver, Canada

    3 h-index

    3 publications

    181 citations

  3. Brown University

    Providence, United States

    3 h-index

    6 publications

    480 citations

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

    Le Chesnay-Rocquencourt, France

    3 h-index

    7 publications

    435 citations

  5. Johannes Kepler University of Linz

    Linz, Austria

    2 h-index

    3 publications

    59 citations

  6. IBM (United States)

    Armonk, United States

    2 h-index

    2 publications

    231 citations

  7. IBM Research - Thomas J. Watson Research Center

    Yorktown Heights, United States

    2 h-index

    3 publications

    145 citations

  8. North Carolina State University

    Raleigh, United States

    2 h-index

    2 publications

    65 citations

1–8 of 66

Venues

  1. Computer Aided Geometric Design

    8 publications · 768 citations

    8

    h-index

  2. Journal of Symbolic Computation

    4 publications · 92 citations

    4

    h-index

  3. ACM Transactions on Graphics

    TOG · 3 publications · 147 citations

    3

    h-index

  4. The Visual Computer

    3 publications · 65 citations

    3

    h-index

  5. Computers & Graphics

    2 publications · 49 citations

    2

    h-index

1–5