Knowledge: software

See Also:

• science → math → geometry → software
• science → math → software

Links

Computational Geometry Code 
http://compgeom.cs.uiuc.edu/~jeffe/compgeom/code.html

Jeff Erickson's links to freely available implementations of geometric algorithms and software.

Fast Industrial-Strength Triangulation 
http://www.cosy.sbg.ac.at/~held/projects/triang/triang.html

By Martin Held. Copes with polygons with holes and degeneracies/self-intersections; based on repeatedly clipping ears. Source code on request.

QMG project 
http://www.cs.cornell.edu/Info/People/vavasis/qmg-home.html

Mesh generation in 2D and 3D on Unix and NT, and related software by Steven Vavasis.

Delaunay Triangulation Code 
http://www-sop.inria.fr/prisme/logiciel/del-tree.html

J-D. Boissonnat et al.'s code for Delaunay meshing in 2 and 3 dimensions in C++.

Fast Robust Predicates for Computational Geometry 
http://www.cs.cmu.edu/~quake/robust.html

C code for orientation and incircle tests using adaptive-precision floating-point arithmetic

Stony Brook Algorithm Repository - Section on Computational Geometry 
http://www.cs.sunysb.edu/~algorith/major_section/1.6.shtml

Summary of major CG problems and implementations of their solutions

JeoEdit 
http://cgm.cs.mcgill.ca/~godfried/jeoedit/

Two Java applets for editing polygons and point sets for input to computational geometry software.

Gmsh 
http://www.geuz.org/gmsh/

Gmsh is a three-dimensional finite element mesh generator, primarily Delaunay, with built-in pre- and post-processing facilities. Gmsh is freely available for Windows and most UNIX platforms.

Reviver Homepage 
http://www.ams.sunysb.edu/~piyush/reviver

A Free Surface Reconstructor which turns unorganised point clouds to surfaces. Variety of Output Formats. (Surface Reconstruction Software)

GTS - The GNU Triangulated Surface Library 
http://gts.sourceforge.net/

Open-source library for manipulating 3D triangular surface meshes. Delaunay triangulations, robust geometric predicates, robust boolean set operations on surfaces, surface refinement and coarsening, level-of-detail, k-d trees, volume and curvature, strips generation.

Edgebreaker 3D Compression for Triangle Meshes 
http://www.gvu.gatech.edu/~jarek/edgebreaker/eb/

Source code, explanations, file formats, and examples of the Edgebreaker compression and decompression techniques.

Knotplot 
http://www.cs.ubc.ca/nest/imager/contributions/scharein/KnotPlot.html

A program for exploring topological knots and knot-like objects in a 3-D rendered environment offering stills, animated knots (including dynamic forces) and demos. Aimed at mathematician and artist alike.

Surface Evolver 
http://www.susqu.edu/facstaff/b/brakke/evolver/

Free interactive program for modelling liquid surfaces shaped by various forces and constraints, e.g., minimal surfaces (bubbles). Applies gradient descent to minimize energy. Available for most platforms.

Triangle 
http://www.cs.cmu.edu/~quake/triangle.html

Jonathan Richard Shewchuk's Two-Dimensional Quality Mesh Generator and Delaunay Triangulator.

CM2 Mesh Tools 
http://www.computing-objects.com/en/meshtools.html

Professional C++ mesh generators. Includes product information and news releases.

Knotenpunkt 
http://www.knotenpunkt.com/home_E.htm

Produces commercial software that creates a surface model out of a pointcloud or polymesh [Balingen, Germany].

Smallest Enclosing Ball of Points 
http://www.inf.ethz.ch/personal/gaertner/miniball.html

Fast and robust C++ code available under GNU license. Handles arbitrary dimensions, and has high numerical stability.

Polymake 
http://www.math.tu-berlin.de/polymake/

A tool for the algorithmic treatment of polytopes and polyhedra.

Amenta's Directory of Computational Geometry Software 
http://www.geom.uiuc.edu/software/cglist/

Lot of categories and links.

CGAL - Computational Geometry Algorithms Library 
http://www.cgal.org/

A collaborative effort to develop a robust, easy to use, and efficient C++ software library of geometric data structures and algorithms.

Mg R-tree Library 
http://www.volny.cz/r-tree/

A simple C++ R-tree implementation with Segment Incidences Detector as an application.

Qhull 
http://www.qhull.org/

Computes convex hulls, Delaunay triangulations, Voronoi diagrams, half-space intersections about a point, furthest-site Delaunay triangulations, and furthest-site Voronoi diagrams. It runs in 2-d, 3-d, 4-d, and higher dimensions.

Surface Reconstruction Algorithms Page 
http://www.compgeom.com/www.sites.html

Links to Surface Reconstruction software, papers, people.

FastGEO Computational Geometry Library 
http://www.partow.net/projects/fastgeo/index.html

FastGEO, A computational geometry library written in the object pascal language.

Polyhedral FAQ 
http://www.ifor.math.ethz.ch/~fukuda/polyfaq/polyfaq.html

Frequently Asked Questions in Polyhedral Computation.

Newsgroups

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