point_matching_scale moved to vcg
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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) 2004-2016 \/)\/ *
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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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#include <vcg/math/matrix44.h>
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#include <vcg/space/point3.h>
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#include <vcg/space/box3.h>
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#include <wrap/newuoa/include/newuoa.h>
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namespace vcg {
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template <class Scalar>
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struct RotoTranslation
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{
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RotoTranslation(){}
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Scalar _v[6];
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void ToMatrix(vcg::Matrix44<Scalar> & m)
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{
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vcg::Matrix44<Scalar> rot,tra;
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rot.FromEulerAngles(_v[0],_v[1],_v[2]);
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tra.SetTranslate(vcg::Point3<Scalar>(_v[3],_v[4],_v[5]));
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m = tra * rot;
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}
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};
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class PointMatchingScale {
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private:
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static std::vector<vcg::Point3d> *fix;
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static std::vector<vcg::Point3d> *mov;
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static vcg::Box3d b;
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public:
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/**
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* Compute a scaling transformation that bring PMov point as close as possible to Pfix
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*/
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static void ComputeScalingMatchMatrix(
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vcg::Matrix44d &res,
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std::vector<vcg::Point3d> &Pfix,
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std::vector<vcg::Point3d> &Pmov)
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{
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fix = &Pfix;
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mov = &Pmov;
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b.SetNull();
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for(std::vector<vcg::Point3d>::iterator i = Pmov.begin(); i != Pmov.end(); ++i)
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b.Add(*i);
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double scale = 1.0;
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min_newuoa(1,&scale,errorScale);
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res.SetTranslate( b.Center()*(1.0-scale));
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res[0][0] = res[1][1] = res[2][2] = scale;
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}
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/**
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* Compute a rototranslation + scaling transformation that bring PMov point as close as possible to Pfix
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*/
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static void ComputeRotoTranslationScalingMatchMatrix(
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vcg::Matrix44d &res,
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std::vector<vcg::Point3d> &Pfix,
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std::vector<vcg::Point3d> &Pmov)
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{
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fix = &Pfix;
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mov = &Pmov;
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b.SetNull();
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for(std::vector<vcg::Point3d>::iterator i = Pmov.begin(); i != Pmov.end(); ++i)
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b.Add(*i);
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double x[7]={1.0,0.0,0.0,0.0,0.0,0.0,0.0};
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min_newuoa(7,&x[0],errorRotoTranslationScale);
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// rtm = rototranslation
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RotoTranslation<double> rt;
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vcg::Matrix44d rtm;
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memcpy(&rt._v[0],&x[1],6*sizeof(double));
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rt.ToMatrix(rtm);
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// res= scaling w.r.t. barycenter
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res.SetTranslate( b.Center()*(1.0-x[0]));
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res[0][0] = res[1][1] = res[2][2] = x[0];
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res = rtm*res;
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}
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static double errorScale(int n, double *x)
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{
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assert(n==1); (void)n;
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double dist = 0;
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std::vector<vcg::Point3d>::iterator i = mov->begin();
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std::vector<vcg::Point3d>::iterator ifix = fix->begin();
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for(; i != mov->end(); ++i,++ifix)
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dist += vcg::SquaredDistance(((*i)-b.Center())*(*x)+b.Center() , *ifix);
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return dist;
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}
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static double errorRotoTranslationScale(int n, double *x) {
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assert(n==7); (void)n;
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double dist = 0;
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std::vector<vcg::Point3d>::iterator i = mov->begin();
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std::vector<vcg::Point3d>::iterator ifix = fix->begin();
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RotoTranslation<double> rt;
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vcg::Matrix44d m;
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memcpy(&rt._v[0],&x[1],6*sizeof(double));
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rt.ToMatrix(m);
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for(; i != mov->end(); ++i,++ifix) {
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dist += vcg::SquaredDistance( m*(((*i)-b.Center())*(x[0])+b.Center()),*ifix);
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}
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return dist;
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}
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};
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}
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