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

I   General Introduction

   1   Introduction   User Manual   Reference Manual
   2   Preliminaries   User Manual   Reference Manual

II   Arithmetic and Algebra

   3   Algebraic Foundations   User Manual   Reference Manual
   4   Number Types   User Manual   Reference Manual
   5   Polynomial   User Manual   Reference Manual
   6   Modular Arithmetic   User Manual   Reference Manual

III   Combinatorial Algorithms

   7   Monotone and Sorted Matrix Search   User Manual   Reference Manual
   8   Linear and Quadratic Programming Solver   User Manual   Reference Manual

IV   Geometry Kernels

   9   2D and 3D Geometry Kernel   User Manual   Reference Manual
   10   dD Geometry Kernel   User Manual   Reference Manual
   11   2D Circular Geometry Kernel   User Manual   Reference Manual
   12   3D Spherical Geometry Kernel   User Manual   Reference Manual

V   Convex Hull Algorithms

   13   2D Convex Hulls and Extreme Points   User Manual   Reference Manual
   14   3D Convex Hulls   User Manual   Reference Manual
   15   dD Convex Hulls and Delaunay Triangulations   User Manual   Reference Manual

VI   Polygons

   16   2D Polygons   User Manual   Reference Manual
   17   2D Regularized Boolean Set-Operations   User Manual   Reference Manual
   18   2D Boolean Operations on Nef Polygons   User Manual   Reference Manual
   19   2D Boolean Operations on Nef Polygons Embedded on the Sphere   User Manual   Reference Manual
   20   2D Polygon Partitioning   User Manual   Reference Manual
   21   2D Straight Skeleton and Polygon Offsetting   User Manual   Reference Manual
   22   2D Minkowski Sums   User Manual   Reference Manual

VII   Polyhedra

   23   3D Polyhedral Surfaces   User Manual   Reference Manual
   24   Halfedge Data Structures   User Manual   Reference Manual
   25   3D Boolean Operations on Nef Polyhedra   User Manual   Reference Manual
   26   Convex Decomposition of Polyhedra   User Manual   Reference Manual
   27   3D Minkowski Sum of Polyhedra   User Manual   Reference Manual

VIII   Arrangements

   28   2D Arrangements   User Manual   Reference Manual
   29   2D Intersection of Curves   User Manual   Reference Manual
   30   2D Snap Rounding   User Manual   Reference Manual
   31   Envelopes of Curves in 2D   User Manual   Reference Manual
   32   Envelopes of Surfaces in 3D   User Manual   Reference Manual

IX   Triangulations and Delaunay Triangulations

   33   2D Triangulations   User Manual   Reference Manual
   34   2D Triangulation Data Structure   User Manual   Reference Manual
   35   3D Triangulations   User Manual   Reference Manual
   36   3D Triangulation Data Structure   User Manual   Reference Manual
   37   3D Periodic Triangulations   User Manual   Reference Manual
   38   2D Alpha Shapes   User Manual   Reference Manual
   39   3D Alpha Shapes   User Manual   Reference Manual

X   Voronoi Diagrams

   40   2D Segment Delaunay Graphs   User Manual   Reference Manual
   41   2D Apollonius Graphs (Delaunay Graphs of Disks)   User Manual   Reference Manual
   42   2D Voronoi Diagram Adaptor   User Manual   Reference Manual

XI   Mesh Generation

   43   2D Conforming Triangulations and Meshes   User Manual   Reference Manual
   44   3D Surface Mesh Generation   User Manual   Reference Manual
   45   Surface Reconstruction from Point Sets   User Manual   Reference Manual
   46   3D Skin Surface Meshing   User Manual   Reference Manual
   47   3D Mesh Generation   User Manual   Reference Manual

XII   Geometry Processing

   48   3D Surface Subdivision Methods   User Manual   Reference Manual
   49   Triangulated Surface Mesh Simplification   User Manual   Reference Manual
   50   Planar Parameterization of Triangulated Surface Meshes   User Manual   Reference Manual
   51   2D Placement of Streamlines   User Manual   Reference Manual
   52   Approximation of Ridges and Umbilics on Triangulated Surface Meshes   User Manual   Reference Manual
   53   Estimation of Local Differential Properties   User Manual   Reference Manual
   54   Point Set Processing   User Manual   Reference Manual

XIII   Spatial Searching and Sorting

   55   2D Range and Neighbor Search   User Manual   Reference Manual
   56   Interval Skip List   User Manual   Reference Manual
   57   dD Spatial Searching   User Manual   Reference Manual
   58   dD Range and Segment Trees   User Manual   Reference Manual
   59   Intersecting Sequences of dD Iso-oriented Boxes   User Manual   Reference Manual
   60   AABB Tree   User Manual   Reference Manual
   61   Spatial Sorting   User Manual   Reference Manual

XIV   Geometric Optimization

   62   Bounding Volumes   User Manual   Reference Manual
   63   Inscribed Areas   User Manual   Reference Manual
   64   Optimal Distances   User Manual   Reference Manual
   65   Principal Component Analysis   User Manual   Reference Manual

XV   Interpolation

   66   2D and Surface Function Interpolation   User Manual   Reference Manual

XVI   Kinetic Data Structures

   67   Kinetic Data Structures   User Manual   Reference Manual
   68   Kinetic Framework   User Manual   Reference Manual

XVII   Support Library

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