CGAL User and Reference Manual
Table of Contents


I  General Introduction
II  Arithmetic and Algebra
III  Combinatorial Algorithms
IV  Geometry Kernels
V  Convex Hull Algorithms
VI  Polygons
VII  Polyhedra
VIII  Arrangements
IX  Triangulations and Delaunay Triangulations
X  Voronoi Diagrams
XI  Mesh Generation
XII  Geometry Processing
XIII  Spatial Searching and Sorting
XIV  Geometric Optimization
XV  Interpolation
XVI  Kinetic Data Structures
XVII  Support Library
XVIII  Visualization

I   General Introduction

   1   Introduction   User Manual   Reference Manual
   2   Preliminaries   User Manual   Reference Manual
   3   Installation   User Manual   Reference Manual

II   Arithmetic and Algebra

   4   Algebraic Foundations   User Manual   Reference Manual
   5   Number Types   User Manual   Reference Manual
   6   Modular Arithmetic   User Manual   Reference Manual
   7   Polynomial   User Manual   Reference Manual
   8   Algebraic Kernel   User Manual   Reference Manual

III   Combinatorial Algorithms

   9   Monotone and Sorted Matrix Search   User Manual   Reference Manual
   10   Linear and Quadratic Programming Solver   User Manual   Reference Manual

IV   Geometry Kernels

   11   2D and 3D Geometry Kernel   User Manual   Reference Manual
   12   dD Geometry Kernel   User Manual   Reference Manual
   13   2D Circular Geometry Kernel   User Manual   Reference Manual
   14   3D Spherical Geometry Kernel   User Manual   Reference Manual

V   Convex Hull Algorithms

   15   2D Convex Hulls and Extreme Points   User Manual   Reference Manual
   16   3D Convex Hulls   User Manual   Reference Manual
   17   dD Convex Hulls and Delaunay Triangulations   User Manual   Reference Manual

VI   Polygons

   18   2D Polygons   User Manual   Reference Manual
   19   2D Regularized Boolean Set-Operations   User Manual   Reference Manual
   20   2D Boolean Operations on Nef Polygons   User Manual   Reference Manual
   21   2D Boolean Operations on Nef Polygons Embedded on the Sphere   User Manual   Reference Manual
   22   2D Polygon Partitioning   User Manual   Reference Manual
   23   2D Straight Skeleton and Polygon Offsetting   User Manual   Reference Manual
   24   2D Minkowski Sums   User Manual   Reference Manual

VII   Polyhedra

   25   3D Polyhedral Surfaces   User Manual   Reference Manual
   26   Halfedge Data Structures   User Manual   Reference Manual
   27   3D Boolean Operations on Nef Polyhedra   User Manual   Reference Manual
   28   Convex Decomposition of Polyhedra   User Manual   Reference Manual
   29   3D Minkowski Sum of Polyhedra   User Manual   Reference Manual

VIII   Arrangements

   30   2D Arrangements   User Manual   Reference Manual
   31   2D Intersection of Curves   User Manual   Reference Manual
   32   2D Snap Rounding   User Manual   Reference Manual
   33   Envelopes of Curves in 2D   User Manual   Reference Manual
   34   Envelopes of Surfaces in 3D   User Manual   Reference Manual

IX   Triangulations and Delaunay Triangulations

   35   2D Triangulations   User Manual   Reference Manual
   36   2D Triangulation Data Structure   User Manual   Reference Manual
   37   3D Triangulations   User Manual   Reference Manual
   38   3D Triangulation Data Structure   User Manual   Reference Manual
   39   3D Periodic Triangulations   User Manual   Reference Manual
   40   2D Alpha Shapes   User Manual   Reference Manual
   41   3D Alpha Shapes   User Manual   Reference Manual

X   Voronoi Diagrams

   42   2D Segment Delaunay Graphs   User Manual   Reference Manual
   43   2D Apollonius Graphs (Delaunay Graphs of Disks)   User Manual   Reference Manual
   44   2D Voronoi Diagram Adaptor   User Manual   Reference Manual

XI   Mesh Generation

   45   2D Conforming Triangulations and Meshes   User Manual   Reference Manual
   46   3D Surface Mesh Generation   User Manual   Reference Manual
   47   Surface Reconstruction from Point Sets   User Manual   Reference Manual
   48   3D Skin Surface Meshing   User Manual   Reference Manual
   49   3D Mesh Generation   User Manual   Reference Manual

XII   Geometry Processing

   50   3D Surface Subdivision Methods   User Manual   Reference Manual
   51   Triangulated Surface Mesh Simplification   User Manual   Reference Manual
   52   Planar Parameterization of Triangulated Surface Meshes   User Manual   Reference Manual
   53   2D Placement of Streamlines   User Manual   Reference Manual
   54   Approximation of Ridges and Umbilics on Triangulated Surface Meshes   User Manual   Reference Manual
   55   Estimation of Local Differential Properties   User Manual   Reference Manual
   56   Point Set Processing   User Manual   Reference Manual

XIII   Spatial Searching and Sorting

   57   2D Range and Neighbor Search   User Manual   Reference Manual
   58   Interval Skip List   User Manual   Reference Manual
   59   dD Spatial Searching   User Manual   Reference Manual
   60   dD Range and Segment Trees   User Manual   Reference Manual
   61   Intersecting Sequences of dD Iso-oriented Boxes   User Manual   Reference Manual
   62   AABB Tree   User Manual   Reference Manual
   63   Spatial Sorting   User Manual   Reference Manual

XIV   Geometric Optimization

   64   Bounding Volumes   User Manual   Reference Manual
   65   Inscribed Areas   User Manual   Reference Manual
   66   Optimal Distances   User Manual   Reference Manual
   67   Principal Component Analysis   User Manual   Reference Manual

XV   Interpolation

   68   2D and Surface Function Interpolation   User Manual   Reference Manual

XVI   Kinetic Data Structures

   69   Kinetic Data Structures   User Manual   Reference Manual
   70   Kinetic Framework   User Manual   Reference Manual

XVII   Support Library

   71   STL Extensions for CGAL   User Manual   Reference Manual
   72   CGAL and the Boost Graph Library   User Manual   Reference Manual
   73   CGAL and Boost Property Maps   User Manual   Reference Manual
   74   Handles and Circulators   User Manual   Reference Manual
   75   Geometric Object Generators   User Manual   Reference Manual
   76   Profiling tools, Hash Map, Union-find, Modifiers   User Manual   Reference Manual
   77   IO Streams   User Manual   Reference Manual

XVIII   Visualization

   78   Geomview   User Manual   Reference Manual
   79   CGAL and the Qt Graphics View Framework   User Manual   Reference Manual
   80   CGAL Ipelets   User Manual   Reference Manual