Geometric Modeling

Geometric modeling is a branch of applied mathematics and computational geometry that develops mathematical methods and algorithms for the precise representation and computational description of geometric shapes and spatial forms.

28.3K

Publications

1.5M

Citations

50K

Authors

6.2K

Institutions

Publications per year

2017–2026

4.9K

Variants

Geometric Modelling

Parents

Computational DesignDigital Design

Children

Boolean OperationsBoundary RepresentationConstructive Solid GeometryCurve InterpolationCurve ModelingFeature-based ModelingGeometric ApproximationGeometric ConstraintsGeometric ContinuityImplicit Modeling

Publications

28.3K

A method for registration of 3-D shapes

Paul J. Besl, Neil David McKay · IEEE Transactions on Pattern Analysis and Machine Intelligence · 1992 · 18K citations

Computing, Computer Science, Computational Geometry +16

Congenital Torticollis (Torticollis Not Related to Trauma) Chapter 28

edoc (University of Basel) · 2019 · 11.5K citations · Full text

Computing, Computer Science, 3D Modeling +13

A formula to estimate the approximate surface area if height and weight be known. 1916.

David W. DuBois · PubMed · 1992 · 5K citations

Engineering, Materials Engineering, Geometric Modeling +9

A morphable model for the synthesis of 3D faces

Volker Blanz, Thomas Vetter · 1999 · 4.8K citations · Full text

Computing, Visualization, 3D Modeling +16

Computational Geometry--An Introduction.

Mikhail J. Atallah, Franco P. Preparata, Michael Ian Shamos · Mathematics of Computation · 1986 · 4.3K citations

Natural Sciences, Computer Science, Mathematics +8

1–5 of 28.3K

Authors

50K

LK
Leif Kobbelt
RWTH Aachen University, Germany
87 publications · 8.1K citations
47
h-index
HP
Helmut Pottmann
TU Wien, Austria
80 publications · 6.4K citations
45
h-index
DC
Daniel Cohen‐Or
Tel Aviv University, Israel
58 publications · 8.4K citations
44
h-index
DM
Dinesh Manocha
University of North Carolina at Chapel Hill, United States
87 publications · 4.5K citations
44
h-index
LG
Leonidas Guibas
Stanford University, United States
59 publications · 8.2K citations
37
h-index

1–5 of 50K

Institutions

6.2K

1–8 of 6.2K

Venues

ACM Transactions on Graphics
TOG · 586 publications · 62.4K citations
139
h-index
IEEE Transactions on Pattern Analysis and Machine Intelligence
TPAMI · 358 publications · 72.7K citations
113
h-index
Computer-Aided Design
793 publications · 42.9K citations
94
h-index
Computer Graphics Forum
454 publications · 28.9K citations
84
h-index
Computer Aided Geometric Design
510 publications · 24.3K citations
74
h-index

1–5

See also Geometric Modeling
Shape Representations	Solid Modeling Implicit Surfaces Constructive Solid Geometry Boundary Representation Parametric Representation Non-uniform Rational B-splines Volumetric Representation Generative Modeling Polygonal Meshing
Core Algorithms	Boolean Operations Ray Casting Surface Interpolation Exact Predicate Inexact Construction
Mathematical Foundations	Riemannian Geometry Geometric Algebra Lie Groups Smooth Manifolds Differential Topology Fiber Bundles Differential Geometry Algebraic Topology Cw Complexes Point-set Topology
Applications	Computer-aided Design Virtual Reality Computer-aided Manufacturing Computer Graphics Animation Computer-aided Engineering Product Design
Data Structures	Boundary Representation Non-uniform Rational B-splines Graph Data Structures Non-manifold Modeling