101 lines
3.2 KiB
C
101 lines
3.2 KiB
C
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/****************************************************************************
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* VCGLib o o *
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* Visual and Computer Graphics Library o o *
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* _ O _ *
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* Copyright(C) 2004 \/)\/ *
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* Visual Computing Lab /\/| *
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* ISTI - Italian National Research Council | *
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* \ *
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* All rights reserved. *
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* *
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* This program is free software; you can redistribute it and/or modify *
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* it under the terms of the GNU General Public License as published by *
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* the Free Software Foundation; either version 2 of the License, or *
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* (at your option) any later version. *
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* *
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* This program is distributed in the hope that it will be useful, *
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* but WITHOUT ANY WARRANTY; without even the implied warranty of *
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
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* GNU General Public License (http://www.gnu.org/licenses/gpl.txt) *
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* for more details. *
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* *
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****************************************************************************/
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/****************************************************************************
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History
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$Log: not supported by cvs2svn $
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****************************************************************************/
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#ifndef __VCGLIB_FITTING3
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#define __VCGLIB_FITTING3
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#include <vector>
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#include <vcg/space/plane3.h>
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namespace vcg {
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// Funzione di supporto: Ritorna il vettore 1 x y z
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template<class S>
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inline double FIT_VExp( const Point3<S> & x, const int i )
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{
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assert(i>=0);
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assert(i<4);
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if(i==0) return 1;
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else return x[i-1];
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}
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/** Fitting di piani: trova il piano che meglio approssima
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l'insieme di punti dato
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*/
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template<class POINT_TYPE, class PLANE_TYPE>
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bool PlaneFittingPoints( const std::vector< POINT_TYPE > & samples, Plane3<typename POINT_TYPE::ScalarType> & p )
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{
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typedef typename POINT_TYPE::ScalarType S;
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const int N = 4;
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S P[N][N]; // A = s' . s
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S U[N][N];
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int i,j,k,n;
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n = samples.size();
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if(n<3)
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return false;
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for(i=0;i<N;++i)
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{
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for(j=i;j<N;++j)
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{
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P[i][j] = 0;
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for(k=0;k<n;++k)
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P[i][j] += FIT_VExp(samples[k],i) * FIT_VExp(samples[k],j);
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}
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for(j=0;j<i;++j)
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P[i][j] = P[j][i];
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}
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for(i=0;i<N;++i)
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{
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U[i][i] = 1.0;
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for(j=0;j<i;++j)
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U[i][j] = 0.0;
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for(j=i+1;j<N;++j)
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{
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if(P[i][i]==0.0)
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return false;
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U[i][j] = P[i][j]/P[i][i];
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for(k=j;k<N;++k)
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P[j][k] -= U[i][j]*P[i][k];
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}
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}
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p.SetDirection(Point3<S>(U[1][2]*U[2][3]-U[1][3],-U[2][3],1));
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p.SetOffset(-(U[0][2]*U[2][3]-U[0][3]+U[0][1]*U[1][3]-U[0][1]*U[1][2]*U[2][3]));
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return true;
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}
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} // end namespace
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#endif
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