Implicit Curve Representation

Implicit Curve Representation is a mathematical formulation of a curve as a level set of a scalar function, distinguishing it from parametric representations by defining points on the curve implicitly through an equation of the form \( f(x, y) = 0 \).

Publications

3.1K

Citations

Authors

Institutions

Publications per year

2017–2026

Parents

Curve Modeling

Publications

A shape-based approach to the segmentation of medical imagery using level sets

Andy Tsai, Anthony Yezzi, William M. Wells et al. · IEEE Transactions on Medical Imaging · 2003 · 899 citations

Computing, Computer Science, Radiology +16

Implicit representation of parametric curves and surfaces

Thomas W. Sederberg, D. C. Anderson, Ron Goldman · Computer Vision Graphics and Image Processing · 1984 · 325 citations

Architecture, Computational Design, 3D Modeling +12

Implicitization using moving curves and surfaces

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

Architecture, Mathematics, 3D Modeling +16

Model-based curve evolution technique for image segmentation

Andy Tsai, Anthony Yezzi, William M. Wells et al. · 2005 · 173 citations · Full text

Computing, Biomedical Engineering, Computer Science +17

Shape optimization with topological changes and parametric control

Jiaqin Chen, Vadim Shapiro, Krishnan Suresh et al. · International Journal for Numerical Methods in Engineering · 2006 · 146 citations

Architecture, Computational Engineering, Mathematics +17

1–5 of 46

Authors

AY
Anthony Yezzi
Georgia Institute of Technology, United States
4 publications · 1.2K citations
4
h-index
TW
Thomas W. Sederberg
Brigham Young University, United States
4 publications · 556 citations
4
h-index
LB
Laurent Busé
Institut national de recherche en sciences et technologies du numérique, France
2 publications · 130 citations
2
h-index
FC
Falai Chen
University of Science and Technology of China, China
2 publications · 228 citations
2
h-index
AT
Andy Tsai
Boston Children's Hospital, United States
2 publications · 1.1K citations
2
h-index

1–5 of 99

Institutions

1–8 of 66

Venues

Computer Aided Geometric Design
6 publications · 121 citations
6
h-index
Computer Graphics Forum
3 publications · 139 citations
3
h-index
IEEE Transactions on Pattern Analysis and Machine Intelligence
TPAMI · 2 publications · 70 citations
2
h-index
ACM Transactions on Graphics
TOG · 2 publications · 186 citations
2
h-index
Computer Vision Graphics and Image Processing
2 publications · 337 citations
2
h-index

1–5