dust3d/third_party/libigl/include/igl/fit_plane.cpp

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// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2013 Daniele Panozzo <daniele.panozzo@gmail.com>
//
// This Source Code Form is subject to the terms of the Mozilla Public License
// v. 2.0. If a copy of the MPL was not distributed with this file, You can
// obtain one at http://mozilla.org/MPL/2.0/.
#include "fit_plane.h"
#include <iostream>
IGL_INLINE void igl::fit_plane(
const Eigen::MatrixXd & V,
Eigen::RowVector3d & N,
Eigen::RowVector3d & C)
{
assert(V.rows()>0);
Eigen::Vector3d sum = V.colwise().sum();
Eigen::Vector3d center = sum.array()/(double(V.rows()));
C = center;
double sumXX=0.0f,sumXY=0.0f,sumXZ=0.0f;
double sumYY=0.0f,sumYZ=0.0f;
double sumZZ=0.0f;
for(int i=0;i<V.rows();i++)
{
double diffX=V(i,0)-center(0);
double diffY=V(i,1)-center(1);
double diffZ=V(i,2)-center(2);
sumXX+=diffX*diffX;
sumXY+=diffX*diffY;
sumXZ+=diffX*diffZ;
sumYY+=diffY*diffY;
sumYZ+=diffY*diffZ;
sumZZ+=diffZ*diffZ;
}
Eigen::MatrixXd m(3,3);
m << sumXX,sumXY,sumXZ,
sumXY,sumYY,sumYZ,
sumXZ,sumYZ,sumZZ;
Eigen::SelfAdjointEigenSolver<Eigen::MatrixXd> es(m);
N = es.eigenvectors().col(0);
}
#ifdef IGL_STATIC_LIBRARY
#endif