Computational Geometry Algorithms Library Source: CGAL web page

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Presentation transcript:

Computational Geometry Algorithms Library Source: CGAL web page

Source: CGAL web page

* as of 2004

Source: CGAL web page

2D Convex Hull Source: CGAL web page

2D Polygon Partitioning Source: CGAL web page Partitions polygons into convex pieces.

Delaunay Triangulations Source: CGAL web page

2D Boolean Operations Source: CGAL web page “A Nef-polyhedron in dimension d is a point set generated from a finite number of open halfspaces by set complement and set intersection operations.” [Nef78]

2D Arrangements Source: CGAL web page

Spatial Searching Source: CGAL web page

Geometric Optimization Source: CGAL web page Finds either maximum area or maximum perimeter convex k- gon whose vertices are vertices of convex hull of point set.

Geometric Optimization (continued) Source: CGAL web page

Geometric Optimization (continued) Source: CGAL web page

Robustness Source: CGAL web page

CGAL Basics C++ Can work with LEDA 3 Main Parts: –Kernel Geometric primitive objects & operations on them –Unmodifiable –Dual object representation »Stand-alone classes parameterized by representation class »Members of kernel class Basic data structures & algorithms –Parameterized by traits classes »Define interface with primitives Non-geometric support facilities Source: CGAL web page

Programming Details Preface CGAL names with CGAL:: #include CGAL/basic.h first in program –Or another CGAL header file that includes it Source: CGAL web page

Programming Example Source: CGAL web page

Simple Nongraphical CGAL Example