The goal of the CGAL Open Source 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... More on the projects using CGAL web page. The Computational Geometry Algorithms Library (CGAL), offers data structures and algorithms like triangulations (2D constrained triangulations and Delaunay triangulations in 2D and 3D, periodic triangulations in 3D), Voronoi diagrams (for 2D and 3D points, 2D additively weighted Voronoi diagrams, and segment Voronoi diagrams), polygons (Boolean operations, offsets, straight skeleton), polyhedra (Boolean operations), arrangements of curves and their applications (2D and 3D envelopes, Minkowski sums), mesh generation (2D Delaunay mesh generation and 3D surface and volume 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), 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. Finally, the Support Library offers geometric object generators and spatial sorting functions, as well as a matrix search framework and a solver for linear and quadratic programs. It further offers interfaces to third party software such as the GUI libraries Qt, Geomview, and the Boost Graph Library.

This software is also referenced in ORMS.

References in zbMATH (referenced in 384 articles , 4 standard articles )

Showing results 1 to 20 of 384.
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  1. Koch, Timo: Projection-based resolved interface 1D-3D mixed-dimension method for embedded tubular network systems (2022)
  2. Attene, Marco; Biasotti, Silvia; Bertoluzza, Silvia; Cabiddu, Daniela; Livesu, Marco; Patanè, Giuseppe; Pennacchio, Micol; Prada, Daniele; Spagnuolo, Michela: Benchmarking the geometrical robustness of a virtual element Poisson solver (2021)
  3. Cicerone, Serafino; D’Emidio, Mattia; Di Stefano, Gabriele; Navarra, Alfredo: On the effectiveness of the genetic paradigm for polygonization (2021)
  4. Eder, Günther; Held, Martin; Palfrader, Peter: Implementing straight skeletons with exact arithmetic: challenges and experiences (2021)
  5. Fleischli, Benno; Mangani, Luca; Del Rio, Armando; Casartelli, Ernesto: A discrete adjoint method for pressure-based algorithms (2021)
  6. Gao, W., Nan, L., Boom, B., Ledoux, H.: SUM: A benchmark dataset of Semantic Urban Meshes (2021) not zbMATH
  7. Gonzalez, Ivan; Choksi, Rustum; Nave, Jean-Christophe: A simple geometric method for navigating the energy landscape of centroidal Voronoi tessellations (2021)
  8. Groiss, Lisa; Jüttler, Bert; Mokriš, Dominik: 27 variants of Tutte’s theorem for plane near-triangulations and an application to periodic spline surface fitting (2021)
  9. Guimarães, Dilson Almeida; Salles da Cunha, Alexandre: The minimum area spanning tree problem: formulations, Benders decomposition and branch-and-cut algorithms (2021)
  10. Hugo Ledoux, Filip Biljecki, Balázs Dukai, Kavisha Kumar, Ravi Peters, Jantien Stoter, Tom Commandeur: 3dfier: automatic reconstruction of 3D city models (2021) not zbMATH
  11. Kamensky, David: Open-source immersogeometric analysis of fluid-structure interaction using FEniCS and tIGAr (2021)
  12. Liangliang Nan: Easy3D: a lightweight, easy-to-use, and efficient C++ library for processing and rendering 3D data (2021) not zbMATH
  13. Limbeck, Jan; Bisdom, Kevin; Lanz, Fabian; Park, Timothy; Barbaro, Eduardo; Bourne, Stephen; Kiraly, Franz; Bierman, Stijn; Harris, Chris; Nevenzeel, Keimpe; den Bezemer, Taco; van Elk, Jan: Using machine learning for model benchmarking and forecasting of depletion-induced seismicity in the Groningen gas field (2021)
  14. Mukundan, Manoj Kumar; Muthuganapathy, Ramanathan: A dynamic sampling approach towards computing Voronoi diagram of a set of circles (2021)
  15. Rouwane, Ali; Bouclier, Robin; Passieux, Jean-Charles; Périé, Jean-Noël: Adjusting fictitious domain parameters for fairly priced image-based modeling: application to the regularization of digital image correlation (2021)
  16. Schweinhart, Benjamin: Persistent homology and the upper box dimension (2021)
  17. Sophie Theis, Magali Suzanne, Guillaume Gay: Tyssue: an epithelium simulation library (2021) not zbMATH
  18. Sukhorukova, Nadezda; Ugon, Julien; Yost, David: Chebyshev multivariate polynomial approximation and point reduction procedure (2021)
  19. Thayyil, Safeer Babu; Yadav, Sunil Kumar; Polthier, Konrad; Muthuganapathy, Ramanathan: Local Delaunay-based high fidelity surface reconstruction from 3D point sets (2021)
  20. Tsabar, Tom; Fogel, Efi; Halperin, Dan: Optimized synthesis of snapping fixtures (2021)

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