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Quick Overview
CGAL (Computational Geometry Algorithms Library) is an open-source C++ library that provides efficient and reliable geometric algorithms. It offers a wide range of data structures and algorithms for computational geometry, including triangulations, Voronoi diagrams, Boolean operations on polygons and polyhedra, and many more.
Pros
- Extensive collection of geometric algorithms and data structures
- Highly efficient and robust implementations
- Well-documented with comprehensive user manuals and examples
- Actively maintained and regularly updated
Cons
- Steep learning curve for beginners
- Large library size, which may increase compilation times
- Some advanced features require commercial licenses
- C++-centric, which may not be ideal for projects using other languages
Code Examples
- Creating a 2D Delaunay triangulation:
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Delaunay_triangulation_2.h>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Delaunay_triangulation_2<K> Delaunay_triangulation;
typedef K::Point_2 Point;
int main() {
Delaunay_triangulation dt;
dt.insert(Point(0,0));
dt.insert(Point(1,0));
dt.insert(Point(0,1));
for(auto face = dt.finite_faces_begin(); face != dt.finite_faces_end(); ++face) {
// Process triangulation faces
}
return 0;
}
- Performing a 2D convex hull computation:
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/convex_hull_2.h>
#include <vector>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef K::Point_2 Point_2;
int main() {
std::vector<Point_2> points = {Point_2(0,0), Point_2(1,0), Point_2(0,1), Point_2(1,1), Point_2(0.5,0.5)};
std::vector<Point_2> result;
CGAL::convex_hull_2(points.begin(), points.end(), std::back_inserter(result));
// result now contains the points of the convex hull
return 0;
}
- Performing Boolean operations on 3D Nef polyhedra:
#include <CGAL/Exact_predicates_exact_constructions_kernel.h>
#include <CGAL/Nef_polyhedron_3.h>
#include <CGAL/IO/Nef_polyhedron_iostream_3.h>
typedef CGAL::Exact_predicates_exact_constructions_kernel Kernel;
typedef CGAL::Nef_polyhedron_3<Kernel> Nef_polyhedron;
typedef Kernel::Point_3 Point_3;
int main() {
Nef_polyhedron N1(Nef_polyhedron::COMPLETE);
Nef_polyhedron N2(Nef_polyhedron::EMPTY);
Nef_polyhedron N3 = N1 * N2; // Intersection
Nef_polyhedron N4 = N1 + N2; // Union
Nef_polyhedron N5 = N1 - N2; // Difference
return 0;
}
Getting Started
To use CGAL in your project:
- Install CGAL using your package manager or download from the official website.
- Include CGAL headers in your C++ file.
- Link against the required CGAL libraries.
- Compile with C++14 or later.
Example CMakeLists.txt:
cmake_minimum_required(VERSION 3.1)
project(My
Competitor Comparisons
PROJ - Cartographic Projections and Coordinate Transformations Library
Pros of PROJ
- Specialized focus on coordinate transformations and map projections
- Lightweight and efficient for geospatial operations
- Widely used in GIS applications and supported by many geospatial libraries
Cons of PROJ
- Limited scope compared to CGAL's broader computational geometry offerings
- Less suitable for complex geometric algorithms beyond coordinate transformations
- Smaller community and fewer contributors compared to CGAL
Code Comparison
PROJ (coordinate transformation):
PJ *P;
P = proj_create_crs_to_crs(PJ_DEFAULT_CTX, "EPSG:4326", "EPSG:3857", NULL);
proj_trans(P, PJ_FWD, coord);
proj_destroy(P);
CGAL (geometric computation):
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
K::Point_2 p(1, 1), q(10, 10);
double distance = CGAL::squared_distance(p, q);
PROJ is more focused on coordinate transformations and map projections, making it ideal for geospatial applications. CGAL offers a broader range of computational geometry algorithms, suitable for more complex geometric computations. PROJ is lighter and more efficient for specific geospatial tasks, while CGAL provides a comprehensive toolkit for various geometric problems.
Geometry Engine, Open Source
Pros of GEOS
- Simpler API and easier to use for basic geometric operations
- Faster performance for certain operations, especially with large datasets
- Better support for GIS-specific functionality and coordinate systems
Cons of GEOS
- Less comprehensive feature set compared to CGAL
- Limited support for higher-dimensional geometry and advanced algorithms
- Fewer options for exact arithmetic and precision control
Code Comparison
GEOS example (C++):
#include <geos/geom/Geometry.h>
#include <geos/geom/GeometryFactory.h>
#include <geos/io/WKTReader.h>
geos::geom::GeometryFactory::Ptr factory = geos::geom::GeometryFactory::create();
geos::io::WKTReader reader(*factory);
std::unique_ptr<geos::geom::Geometry> geom(reader.read("POINT(0 0)"));
CGAL example (C++):
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Point_2.h>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Point_2<K> Point_2;
Point_2 p(0, 0);
Both GEOS and CGAL are powerful computational geometry libraries, but they cater to different use cases. GEOS is more focused on GIS applications and simpler geometric operations, while CGAL offers a broader range of algorithms and more precise computations. The choice between them depends on the specific requirements of your project.
QGIS is a free, open source, cross platform (lin/win/mac) geographical information system (GIS)
Pros of QGIS
- More user-friendly with a graphical interface for GIS operations
- Broader functionality for geospatial analysis and cartography
- Larger community and more frequent updates
Cons of QGIS
- Slower performance for complex computational geometry tasks
- Less specialized for advanced geometric algorithms
- Steeper learning curve for developers due to its size and complexity
Code Comparison
CGAL (C++):
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Delaunay_triangulation_2.h>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Delaunay_triangulation_2<K> Triangulation;
Triangulation t;
QGIS (Python):
from qgis.core import QgsVectorLayer, QgsProject
layer = QgsVectorLayer("Point", "points", "memory")
QgsProject.instance().addMapLayer(layer)
CGAL focuses on computational geometry algorithms, providing efficient and robust implementations. It's ideal for developers working on geometric problems and requires C++ expertise.
QGIS is a comprehensive GIS software with a user-friendly interface, suitable for a wide range of geospatial tasks. It offers Python scripting for customization and plugin development, making it accessible to both users and developers.
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The Computational Geometry Algorithms Library (CGAL) is a C++ library that aims to provide easy access to efficient and reliable algorithms in computational geometry.
CGAL Releases
The primary vector of distribution of CGAL are source tarballs, released twice a year, announced on the web site of CGAL.
Getting Started with CGAL
Since version 5.0, CGAL is a header-only library, meaning that it is no longer needed to build CGAL libraries before it can be used.
Head over to the CGAL manual for usage guides and tutorials that will get you started smoothly.
License
See the file LICENSE.md.
CGAL Git Repository Layout
The Git repository of CGAL has a different layout from release tarballs. It
contains a CMakeLists.txt
file that serves as anchor for configuring and building programs,
and a set of subfolders, so called packages. Most packages
implement a data structure or an algorithm for CGAL (e.g., Convex_hull_2
,
or Triangulation_3
); however some packages serve special needs:
Installation
- meta-files and CMake-supportMaintenance
- infrastructural supportCore
,CGALimageIO
,Qt_widget
,GraphicsView
- component librariesScripts
- scripts to simplify developer's and user's workTestsuite
- infrastructure for testsuiteDocumentation
- infrastructure for CGAL's manualSTL_Extension
- extensions to the standard template library
More Information
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