Concepedia

Function-based Shape Modeling

Function-Based Shape Modeling is a shape modeling paradigm within implicit modeling that represents geometric forms through mathematical functions, wherein the distinction from other representations lies in the use of real-valued continuous functions to implicitly define shapes by mapping spatial coordinates to a scalar field indicating membership.

57

Publications

4.3K

Citations

142

Authors

72

Institutions

Publications per year

2017–2026

13

Variants

Function-based Modeling

Parents

Publications

57

Universal Parametric Geometry Representation Method

Brenda Kulfan · Journal of Aircraft · 2008 · 792 citations

, , +15

Function representation in geometric modeling: concepts, implementation and applications

Alexander Pasko, Valery Adzhiev, Alexei Sourin et al. · The Visual Computer · 1995 · 482 citations

, , +13

"Fundamental" Parameteric Geometry Representations for Aircraft Component Shapes

Brenda Kulfan, John E. Bussoletti · 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference · 2006 · 403 citations

, , +12

Network model of shape-from-shading: neural function arises from both receptive and projective fields

Sidney R. Lehky, Terrence J. Sejnowski · Nature · 1988 · 367 citations

, , +15

Object Shape, Object Function, and Object Name

Barbara Landau, Linda B. Smith, Susan S. Jones · Journal of Memory and Language · 1998 · 285 citations

, , +11

1–5 of 57

Authors

142

  1. AS
    Alexei Sourin

    Nanyang Technological University, Singapore

    10 publications · 721 citations

    10

    h-index

  2. AP
    Alexander Pasko

    Bournemouth University, United Kingdom

    7 publications · 767 citations

    7

    h-index

  3. MM
    Michael M. Bronstein

    Università della Svizzera italiana, Switzerland

    3 publications · 175 citations

    3

    h-index

  4. QL
    Qi Liu

    University of Science and Technology of China, China

    3 publications · 73 citations

    3

    h-index

  5. VA
    Valery Adzhiev

    Bournemouth University, United Kingdom

    3 publications · 643 citations

    3

    h-index

1–5 of 142

Institutions

72

  1. Nanyang Technological University

    Singapore, Singapore

    11 h-index

    19 publications

    880 citations

  2. University of Aizu

    Fukushima, Japan

    3 h-index

    4 publications

    1.1K citations

  3. Centre de Mathématiques Appliquées de l'École polytechnique

    Palaiseau, France

    2 h-index

    2 publications

    148 citations

  4. University of Warwick

    Coventry, United Kingdom

    2 h-index

    2 publications

    578 citations

  5. Hosei University

    Tokyo, Japan

    2 h-index

    2 publications

    63 citations

  6. Technion – Israel Institute of Technology

    Haifa, Israel

    2 h-index

    4 publications

    296 citations

  7. Università della Svizzera italiana

    Lugano, Switzerland

    2 h-index

    2 publications

    148 citations

  8. École Polytechnique

    Palaiseau, France

    2 h-index

    4 publications

    296 citations

1–8 of 72

Venues

  1. Computers & Graphics

    5 publications · 115 citations

    5

    h-index

  2. The Visual Computer

    3 publications · 605 citations

    3

    h-index

  3. IEEE Computer Graphics and Applications

    2 publications · 82 citations

    2

    h-index

  4. Computers & Structures

    2 publications · 127 citations

    2

    h-index

  5. Applied Mathematics Letters

    1 publications · 30 citations

    1

    h-index

1–5