\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - Principal Component Analysis

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Principal_component_analysis/linear_least_squares_fitting_triangles_3.cpp
// Example program for the linear_least_square_fitting function
// on a set of 3D triangles
#include <CGAL/Simple_cartesian.h>
#include <CGAL/linear_least_squares_fitting_3.h>
#include <vector>
typedef double FT;
typedef CGAL::Simple_cartesian<FT> K;
typedef K::Line_3 Line;
typedef K::Plane_3 Plane;
typedef K::Point_3 Point;
typedef K::Triangle_3 Triangle;
int main(void)
{
std::vector<Triangle> triangles;
Point a(1.0,2.0,3.0);
Point b(4.0,0.0,6.0);
Point c(7.0,8.0,9.0);
Point d(8.0,7.0,6.0);
Point e(5.0,3.0,4.0);
triangles.push_back(Triangle(a,b,c));
triangles.push_back(Triangle(a,b,d));
triangles.push_back(Triangle(d,e,c));
Line line;
Plane plane;
// fit plane to whole triangles
linear_least_squares_fitting_3(triangles.begin(),triangles.end(),plane,CGAL::Dimension_tag<2>());
// fit line to triangle vertices
linear_least_squares_fitting_3(triangles.begin(),triangles.end(),line, CGAL::Dimension_tag<0>());
return 0;
}