| Directory > Science > Math > Geometry > Computational Geometry > Software atlas - differential geometry Maple package
Calculations in terms of manifolds, mappings, embeddings, submersions, p-forms, tensor fields etc.
All calculations are as coordinate free as possible. Some calculations with non-numerical dimension
are available. Modern differential geometry notations.
http://www.graphtree.com/Maple/atlas/index.htm
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Surface Reconstruction Algorithms Page
Links to Surface Reconstruction software, papers, people.
http://www.compgeom.com/www.sites.html
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Qhull - convex hulls, Delaunay triangulations, Voronoi diagrams, and halfspace intersections
Qhull 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.
http://www.qhull.org/
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Mg R-tree Library
A simple C++ R-tree implementation with Segment Incidences Detector as an application.
http://www.volny.cz/r-tree/
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CGAL - Computational Geometry Algorithms Library
A collaborative effort to develop a robust, easy to use, and efficient C++ software library of
geometric data structures and algorithms.
http://www.cgal.org/
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Polyhedral FAQ
Frequently Asked Questions in Polyhedral Computation.
http://www.ifor.math.ethz.ch/staff/fukuda/polyfaq/polyfaq.html
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Amenta's Directory of Computational Geometry Software
Lot of categories and links.
http://www.geom.uiuc.edu/software/cglist/
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Polymake
A tool for the algorithmic treatment of polytopes and polyhedra.
http://www.math.tu-berlin.de/polymake/
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Smallest Enclosing Ball of Points
Fast and robust C++ code available under GNU license. Handles arbitrary dimensions, and has high
numerical stability.
http://www.inf.ethz.ch/personal/gaertner/miniball.html
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Knotenpunkt
Produces commercial software that creates a surface model out of a pointcloud or polymesh
[Balingen, Germany].
http://www.knotenpunkt.com/home_E.htm
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CM2 Mesh Tools
Professional C++ mesh generators. Includes product information and news releases.
http://www.computing-objects.com/en/meshtools.html
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Triangle
Jonathan Richard Shewchuk's Two-Dimensional Quality Mesh Generator and Delaunay Triangulator.
http://www.cs.cmu.edu/~quake/triangle.html
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Surface 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.
http://www.susqu.edu/facstaff/b/brakke/evolver/
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XYZ GeoBench
Macintosh program for interactive, experimental, and educational geometric computing, including
animation of many algorithms in computational geometry.
http://wwwjn.inf.ethz.ch/geobench/XYZGeoBench.html
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Knotplot
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.
http://www.cs.ubc.ca/nest/imager/contributions/scharein/KnotPlot.html
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Edgebreaker 3D Compression for Triangle Meshes
Source code, explanations, file formats, and examples of the Edgebreaker compression and
decompression techniques.
http://www.gvu.gatech.edu/~jarek/edgebreaker/eb/
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GTS - The GNU Triangulated Surface Library
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.
http://gts.sourceforge.net/
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Reviver Homepage
A Free Surface Reconstructor which turns unorganised point clouds to surfaces. Variety of Output
Formats. (Surface Reconstruction Software)
http://www.ams.sunysb.edu/~piyush/reviver
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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.
http://www.geuz.org/gmsh/
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JeoEdit
Two Java applets for editing polygons and point sets for input to computational geometry software.
http://cgm.cs.mcgill.ca/~godfried/jeoedit/
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Stony Brook Algorithm Repository - Section on Computational Geometry
Summary of major CG problems and implementations of their solutions
http://www.cs.sunysb.edu/~algorith/major_section/1.6.shtml
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Fast Robust Predicates for Computational Geometry
C code for orientation and incircle tests using adaptive-precision floating-point arithmetic
http://www.cs.cmu.edu/~quake/robust.html
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Delaunay Triangulation Code
J-D. Boissonnat et al.'s code for Delaunay meshing in 2 and 3 dimensions in C++.
http://www-sop.inria.fr/prisme/logiciel/del-tree.html
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QMG project
Mesh generation in 2D and 3D on Unix and NT, and related software by Steven Vavasis.
http://www.cs.cornell.edu/Info/People/vavasis/qmg-home.html
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Fast Industrial-Strength Triangulation
By Martin Held. Copes with polygons with holes and degeneracies/self-intersections; based on
repeatedly clipping ears. Source code on request.
http://www.cosy.sbg.ac.at/~held/projects/triang/triang.html
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Computational Geometry Code
Jeff Erickson's links to freely available implementations of geometric algorithms and software.
http://compgeom.cs.uiuc.edu/~jeffe/compgeom/code.html
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Polygon Boolean operations on sets of polygons
GDSII viewer + Algorithms for 2d polygon boolean operations, C++ source code
http://www.xs4all.nl/~kholwerd/bool.html
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Magic Software
Dave Eberley's Code Page: Includes lot of Code that you might need while writing a Computational
Geometric Software
http://www.magic-software.com/
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HULL
Ken ClarkSon's convex hulls, Delaunay triangulations, alpha shapes calculator in C
http://cm.bell-labs.com/netlib/voronoi/hull.html
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