Concepedia

Implicit Function Representation

Implicit Function Representation is a mathematical modeling paradigm that characterizes shapes or fields as the zero level set of a higher-dimensional implicit function, distinguishing it from explicit representations by encoding geometry through continuous scalar functions evaluated over ambient space.

248

Publications

15.1K

Citations

608

Authors

265

Institutions

Publications per year

2017–2026

78

Parents

Publications

248

PIFu: Pixel-Aligned Implicit Function for High-Resolution Clothed Human Digitization

Shunsuke Saito, Zeng Huang, Ryota Natsume et al. · 2019 · 1.2K citations

, , +16

Learning Continuous Image Representation with Local Implicit Image Function

Yinbo Chen, Sifei Liu, Xiaolong Wang · 2021 · 708 citations

, , +16

INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS

Dimitry Leites · Russian Mathematical Surveys · 1980 · 518 citations

, , +16

Function representation in geometric modeling: concepts, implementation and applications

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

, , +13

Modelling with implicit surfaces that interpolate

Greg Turk, James F. O’Brien · ACM Transactions on Graphics · 2002 · 388 citations

, , +16

1–5 of 248

Authors

608

  1. AJ
    Alec Jacobson

    University of Toronto, Canada

    5 publications · 202 citations

    5

    h-index

  2. GT
    Greg Turk

    Georgia Institute of Technology, United States

    4 publications · 706 citations

    4

    h-index

  3. ND
    N. D. Yen

    Institute of Mathematics, Vietnam

    4 publications · 112 citations

    4

    h-index

  4. ZH
    Zeng Huang

    University of Southern California, United States

    4 publications · 1.7K citations

    4

    h-index

  5. JZ
    Juyong Zhang

    University of Science and Technology of China, China

    4 publications · 473 citations

    4

    h-index

1–5 of 608

Institutions

265

  1. Tsinghua University

    Beijing, China

    9 h-index

    26 publications

    2.2K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    7 h-index

    14 publications

    745 citations

  3. University of California, Berkeley

    Berkeley, United States

    7 h-index

    7 publications

    768 citations

  4. Tel Aviv University

    Tel Aviv, Israel

    7 h-index

    9 publications

    333 citations

  5. Google (United States)

    Mountain View, United States

    6 h-index

    21 publications

    1.5K citations

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

    Le Chesnay-Rocquencourt, France

    6 h-index

    14 publications

    362 citations

  7. Georgia Institute of Technology

    Atlanta, United States

    6 h-index

    8 publications

    825 citations

  8. Imperial College London

    London, United Kingdom

    5 h-index

    10 publications

    229 citations

1–8 of 265

Venues

  1. arXiv (Cornell University)

    Repository · 19 publications · 730 citations

    15

    h-index

  2. ACM Transactions on Graphics

    TOG · 12 publications · 1.2K citations

    12

    h-index

  3. 7

    h-index

  4. Computer Graphics Forum

    5 publications · 417 citations

    5

    h-index

  5. IEEE Transactions on Image Processing

    5 publications · 301 citations

    5

    h-index

1–5