I General Introduction
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1 Introduction |
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2 Preliminaries |
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3 Installation |
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II Arithmetic and Algebra
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4 Algebraic Foundations |
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5 Number Types |
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6 Modular Arithmetic |
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7 Polynomial |
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8 Algebraic Kernel |
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III Combinatorial Algorithms
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9 Monotone and Sorted Matrix Search |
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10 Linear and Quadratic Programming Solver |
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IV Geometry Kernels
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11 2D and 3D Geometry Kernel |
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12 dD Geometry Kernel |
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13 2D Circular Geometry Kernel |
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14 3D Spherical Geometry Kernel |
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V Convex Hull Algorithms
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15 2D Convex Hulls and Extreme Points |
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16 3D Convex Hulls |
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17 dD Convex Hulls and Delaunay Triangulations |
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VI Polygons
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18 2D Polygons |
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19 2D Regularized Boolean Set-Operations |
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20 2D Boolean Operations on Nef Polygons |
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21 2D Boolean Operations on Nef Polygons Embedded on the Sphere |
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22 2D Polygon Partitioning |
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23 2D Straight Skeleton and Polygon Offsetting |
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24 2D Minkowski Sums |
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VII Polyhedra
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25 3D Polyhedral Surfaces |
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26 Halfedge Data Structures |
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27 3D Boolean Operations on Nef Polyhedra |
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28 Convex Decomposition of Polyhedra |
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29 3D Minkowski Sum of Polyhedra |
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VIII Arrangements
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30 2D Arrangements |
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31 2D Intersection of Curves |
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32 2D Snap Rounding |
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33 Envelopes of Curves in 2D |
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34 Envelopes of Surfaces in 3D |
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IX Triangulations and Delaunay Triangulations
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35 2D Triangulations |
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36 2D Triangulation Data Structure |
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37 3D Triangulations |
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38 3D Triangulation Data Structure |
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39 3D Periodic Triangulations |
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40 2D Alpha Shapes |
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41 3D Alpha Shapes |
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X Voronoi Diagrams
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42 2D Segment Delaunay Graphs |
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43 2D Apollonius Graphs (Delaunay Graphs of Disks) |
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44 2D Voronoi Diagram Adaptor |
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XI Mesh Generation
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45 2D Conforming Triangulations and Meshes |
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46 3D Surface Mesh Generation |
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47 Surface Reconstruction from Point Sets
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48 3D Skin Surface Meshing |
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49 3D Mesh Generation |
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XII Geometry Processing
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50 3D Surface Subdivision Methods |
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51 Triangulated Surface Mesh Simplification |
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52 Planar Parameterization of Triangulated Surface Meshes
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53 2D Placement of Streamlines |
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54 Approximation of Ridges and Umbilics on Triangulated
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55 Estimation of Local Differential Properties |
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56 Point Set Processing
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XIII Spatial Searching and Sorting
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57 2D Range and Neighbor Search |
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58 Interval Skip List |
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59 dD Spatial Searching |
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60 dD Range and Segment Trees |
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61 Intersecting Sequences of dD Iso-oriented Boxes |
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62 AABB Tree |
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63 Spatial Sorting |
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XIV Geometric Optimization
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64 Bounding Volumes |
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65 Inscribed Areas |
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66 Optimal Distances |
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67 Principal Component Analysis |
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XV Interpolation
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68 2D and Surface Function Interpolation |
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XVI Kinetic Data Structures
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69 Kinetic Data Structures |
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70 Kinetic Framework |
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XVII Support Library
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71 STL Extensions for CGAL |
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72 CGAL and the Boost Graph Library |
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73 CGAL and Boost Property Maps
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74 Handles, Ranges and Circulators |
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75 Geometric Object Generators |
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76 Profiling tools, Hash Map, Union-find, Modifiers |
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77 IO Streams |
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XVIII Visualization
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78 Geomview |
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79 CGAL and the Qt Graphics View Framework |
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80 CGAL Ipelets |
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