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A Computational Geometry Algorithms Library

The goal of the CGAL Project is to provide easy access to efficient and reliable geometric algorithms in the form of a C++ library. CGAL is used in various areas needing geometric computation, such as: computer graphics, scientific visualization, computer aided design and modeling, geographic information systems, molecular biology, medical imaging, robotics and motion planning, mesh generation, numerical methods...
CGAL offers data structures and algorithms like triangulations (2D constrained triangulations and Delaunay triangulations in 2D and 3D), Voronoi diagrams (for 2D and 3D points, 2D additively weighted Voronoi diagrams, and segment Voronoi diagrams), Boolean operations on polygons and polyhedra, arrangements of curves and their applications (2D and 3D envelopes, Minkowski sums) mesh generation (2D Delaunay mesh generation and 3D surface mesh generation, skin surfaces), geometry processing (surface mesh simplification, subdivision and parameterization, as well as estimation of local differential properties, and approximation of ridges and umbilics), alpha shapes, convex hull algorithms (in 2D, 3D and dD), operations on polygons (straight skeleton and offset polygon), search structures (kd trees for nearest neighbor search, and range and segment trees), interpolation (natural neighbor interpolation and placement of streamlines), shape analysis, fitting, and distances (smallest enclosing sphere of points or spheres, smallest enclosing ellipsoid of points, principal component analysis), and kinetic data structures. All these data structures and algorithms operate on geometric objects like points and segments, and perform geometric tests on them. These objects and predicates are regrouped in CGAL Kernels.


Download version 4.9 (stable)
released on 19 September 2016



LicenseVerified byVerified onNotes
License:LGPLMviinama20 September 2014
License:GPLMviinama20 September 2014

Leaders and contributors

The CGAL Developers Maintainer

Resources and communication

AudienceResource typeURI
DeveloperMailing List Info/Archive
Bug Tracking,

Software prerequisites

This entry (in part or in whole) was last reviewed on 9 March 2017.


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