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souaissa |
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#include "gestionversion.h"
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//---------------------------------------------------------------------------
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#pragma hdrstop
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#include "vct_outils.h"
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//---------------------------------------------------------------------------
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#pragma package(smart_init)
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VCT_OUTILS::VCT_OUTILS(double ord):ordre(ord)
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{
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}
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double2 VCT_OUTILS::get_moment_dans_plan (double2 theta,vector<OT_VECTEUR_4DD>& ctrpts,int plan)
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{
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//double li[]={78.10249676,78.10249676,78.10249676,78.10249676} ;
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//double thi[]={39.80557109+10,140.19442891+10,219.80557109+10,320.19442891+10};
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int nb_pts=ctrpts.size();
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//Centrer les points autour du brycentre appartenant au plan;
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//OT_VECTEUR_4DD bary;
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// for(int i=0;i<nb_pts;i++)
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// {
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// bary=bary+ctrpts[i];
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// }
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//bary=1./nb_pts*bary;
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//-----------------------------------
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double2 zer=0.;
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double2 sum=0.;
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for(int i=0;i<nb_pts;i++)
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{
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// ctrpts[i]=ctrpts[i]-bary;
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//thi[i]=thi[i]*PI/180;
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//double2 nori=ctrpts[i].norme();
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double2 x=ctrpts[i].x()^2;
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double2 y=ctrpts[i].y()^2;
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double2 z=ctrpts[i].z()^2;
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double2 nori;
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// double2 nori=ctrpts[i].norme();
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double2 cosi=0.;
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double2 sini=0.;
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if(plan==12)
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{
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nori=(x+y)^0.5;
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if (nori!=zer){
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cosi=ctrpts[i].get_x()/nori;
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sini=ctrpts[i].get_y()/nori;
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}
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}
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if(plan==23)
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{
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nori=(y+z)^0.5;
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if (nori!=zer){
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cosi=ctrpts[i].get_y()/nori;
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sini=ctrpts[i].get_z()/nori;
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}
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}
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if(plan==13)
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{
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nori=(x+z)^0.5;
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if (nori!=zer){
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cosi=ctrpts[i].get_x()/nori;
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sini=ctrpts[i].get_z()/nori;
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}
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}
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double2 costh=cos(theta);
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double2 sinth=sin(theta);
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double2 d_theta=sini*costh-cosi*sinth;
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//sum=sum+ pow(li[i],4)*pow(d_theta,4);
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double2 val1=nori^ordre;
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double2 val2=d_theta^ordre;
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double2 val=val1*val2;
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sum=sum+ val;
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}
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return sum;
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}
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double2 VCT_OUTILS:: get_max(double2 a,double2 b)
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{
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return((a<b)? b : a);
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}
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double2 VCT_OUTILS:: get_min(double2 a,double2 b)
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{
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return ((a>b)? b : a);
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}
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double2 VCT_OUTILS::get_signe(double2 a,double2 b)
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{ |
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double2 zer=0.; |
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double2 c=-1.; |
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if(b>=zer) |
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return a; |
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else |
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return c*a; |
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} |
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void VCT_OUTILS::get_permutation(double2& a,double2& b)
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{
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double2 tmp; tmp = a; a = b; b = tmp;
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}
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void VCT_OUTILS::get_shift(double2&a,double2&b,double2&c,double2 d)
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{ |
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a=b;b=c;c=d; |
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}
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void VCT_OUTILS::get_minimum_de_Brak(double2 &ax,double2 &bx,double2 &cx,double2 &fa,double2 &fb,double2 &fc,vector<OT_VECTEUR_4DD>& ctrpts,int plan)
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{ |
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static const double2 GOLD=1.618034; |
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static const double2 GLIMIT=100.0; |
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static const double2 TINY=1.0e-20; |
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double2 ulim,u,r,q,fu; |
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//double2(*func)(double2,vector<OT_VECTEUR_4DD>&,int)=&moment; |
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double2 dtheta=0.0001; |
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//aptimisation de la valeur de theta |
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int idx_pts_depart1=-1; |
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int idx_pts_depart2=-1; |
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int nb_pts=ctrpts.size(); |
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double2 min_y; |
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double2 min_x; |
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int cfait1=-1; |
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int cfait2=-1; |
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int indx1,indx2; |
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if (plan==12) {indx1=0;indx2=1;} |
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if (plan==23) {indx1=1;indx2=2;} |
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if (plan==13) {indx1=0;indx2=2;} |
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OT_VECTEUR_4DD bary; |
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for(int i=0;i<nb_pts;i++)
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{
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bary=bary+ctrpts[i];
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}
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bary=1./nb_pts*bary;
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//-----------------------------------
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/*
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for (int i=0;i<nb_pts;i++) |
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{ |
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ctrpts[i]=ctrpts[i]-bary; |
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OT_VECTEUR_4DD pt=ctrpts[i]; |
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if (pt[indx1]>dtheta&&pt[indx2]>dtheta) |
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{ |
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if (cfait1<0) |
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{ |
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min_y=pt[indx2]; |
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idx_pts_depart1=i; |
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cfait1=1; |
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} |
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if(pt[indx2]<min_y){ |
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min_y=pt[indx2]; |
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idx_pts_depart1=i; |
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} |
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} |
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if (pt[indx1]>dtheta&&pt[indx2]>dtheta) |
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{ |
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if(cfait2<0) |
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{ |
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min_x=pt[indx1]; |
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idx_pts_depart2=i; |
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cfait2=1; |
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} |
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if(pt[indx1]<min_x){ |
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min_x=pt[indx1]; |
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idx_pts_depart2=i; |
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} |
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} |
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} |
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int idx_pts_depart; |
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if(idx_pts_depart1>=0) idx_pts_depart= idx_pts_depart1; |
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else idx_pts_depart= idx_pts_depart2; |
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OT_VECTEUR_4DD dept=ctrpts[idx_pts_depart]; |
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double2 theta_depart=atan(dept[indx2]/dept[indx1]); |
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ax=theta_depart;//0.; */ |
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ax=0.; |
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bx=ax+dtheta; |
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cx=bx+dtheta; |
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double2 fva=get_moment_dans_plan(ax,ctrpts,plan);//(*func)(ax,ctrpts,plan); |
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double2 fvb=get_moment_dans_plan(bx,ctrpts,plan);//(*func)(bx,ctrpts,plan); |
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double2 fvc=get_moment_dans_plan(cx,ctrpts,plan);//(*func)(cx,ctrpts,plan); |
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cx=cx+dtheta; |
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double2 fvc_plus_dth=get_moment_dans_plan(cx,ctrpts,plan); |
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while (fvb> fva) |
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{ |
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ax=bx; |
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bx=ax+dtheta; |
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fva=get_moment_dans_plan(ax,ctrpts,plan);//(*func)(ax,ctrpts,plan); |
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fvb=get_moment_dans_plan(bx,ctrpts,plan);//(*func)(bx,ctrpts,plan); |
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} |
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if(fvb<fva) |
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{ |
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cx=bx+dtheta; |
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while (fvb> fvc) |
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{ |
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bx=cx; |
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cx=bx+dtheta; |
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fvb=get_moment_dans_plan(bx,ctrpts,plan);//(*func)(bx,ctrpts,plan); |
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fvc=get_moment_dans_plan(cx,ctrpts,plan);//(*func)(cx,ctrpts,plan); |
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} |
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} |
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fa=get_moment_dans_plan(ax,ctrpts,plan);//(*func)(ax,ctrpts,plan); |
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fb=get_moment_dans_plan(bx,ctrpts,plan);//(*func)(bx,ctrpts,plan); |
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if(fb>fa) |
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{ |
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swap(ax,bx); |
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swap(fb,fa); |
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} |
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cx=bx+GOLD*(bx-ax); |
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fc=get_moment_dans_plan(cx,ctrpts,plan);//(*func)(cx,ctrpts,plan); |
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double2 d=2.; |
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double2 zer=0.; |
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while(fb>fc) |
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{ |
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r=(bx-ax)*(fb-fc); |
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q=(bx-cx)*(fb-fa); |
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u=bx-((bx-cx)*q-(bx-ax)*r)/(d*get_signe(get_max((q-r).get_fabs(),TINY),q-r));//(d*Sign(Max(abs(q-r),TINY),q-r)); |
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ulim=bx+GLIMIT*(cx-bx); |
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if((bx-u)*(u-cx)>zer) |
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{ |
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fu=get_moment_dans_plan(u,ctrpts,plan);//(*func)(u,ctrpts,plan); |
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if(fu<fc) |
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{ |
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ax=bx; |
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bx=u; |
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fa=fb; |
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fb=fu; |
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return; |
| 244 |
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} |
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else if(fu>fb) |
| 246 |
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{ |
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cx=u; |
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fc=fu; |
| 249 |
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return; |
| 250 |
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} |
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u=cx+GOLD*(cx-bx); |
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fu=get_moment_dans_plan(u,ctrpts,plan); |
| 253 |
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} |
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else if((cx-u)*(u-ulim)>zer) |
| 255 |
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{ |
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fu=get_moment_dans_plan(u,ctrpts,plan); |
| 257 |
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if(fu<fc) |
| 258 |
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{ |
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bx=cx; |
| 260 |
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cx=u; |
| 261 |
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u=cx+GOLD*(cx-bx); |
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get_shift(fb,fc,fu,get_moment_dans_plan(u,ctrpts,plan)); |
| 263 |
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} |
| 264 |
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} |
| 265 |
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else if((u-ulim)*(ulim-cx)>=zer) |
| 266 |
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{ |
| 267 |
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u=ulim; |
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fu=get_moment_dans_plan(u,ctrpts,plan); |
| 269 |
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} |
| 270 |
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else |
| 271 |
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{ |
| 272 |
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u=cx+GOLD*(cx-bx); |
| 273 |
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fu=get_moment_dans_plan(u,ctrpts,plan); |
| 274 |
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} |
| 275 |
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get_shift(ax,bx,cx,u); |
| 276 |
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get_shift(fa,fb,fc,fu); |
| 277 |
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} |
| 278 |
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}
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| 280 |
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| 281 |
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| 282 |
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| 283 |
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vector<OT_VECTEUR_4DD> VCT_OUTILS::get_system_axes(vector<OT_VECTEUR_4DD>& ctrpts)
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| 284 |
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{
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| 285 |
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double e1_proj[3];
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| 286 |
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double e2_proj[3];
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| 287 |
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double normal_palan_project[3];
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| 288 |
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double normal_au_plan[3];
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| 289 |
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double theta,c,s;
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| 290 |
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double root[3]={0.,0.,0.};
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| 291 |
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OT_ALGORITHME_GEOMETRIQUE algo;
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| 292 |
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int pris=0;
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| 293 |
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OT_MATRICE_3D P, P_1;
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| 294 |
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| 295 |
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vector<OT_VECTEUR_4DD> syst_axe;
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| 296 |
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int nb_points=ctrpts.size();
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| 297 |
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vector<OT_VECTEUR_4DD> ctrpts_proj;
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| 298 |
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OT_VECTEUR_4DD axe1,axe2,axe3,axe4;
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| 299 |
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double2 ax,bx,cx,fa,fb,fc;
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| 300 |
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int plan=12;
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| 301 |
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| 302 |
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double2 z0=ctrpts[0].get_z() ;
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| 303 |
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double2 y0=ctrpts[0].get_y() ;
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| 304 |
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double2 x0=ctrpts[0].get_x() ;
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| 305 |
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| 306 |
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int cmpt1=0;
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| 307 |
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int cmpt2=0;
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| 308 |
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int cmpt3=0;
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| 309 |
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for(int i=0;i<nb_points;i++)
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| 310 |
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{
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| 311 |
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if (ctrpts[i].get_x()==x0) cmpt1++;
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| 312 |
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if (ctrpts[i].get_y()==y0) cmpt2++;
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| 313 |
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if (ctrpts[i].get_z()==z0) cmpt3++;
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| 314 |
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}
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| 315 |
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| 316 |
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if(cmpt1==nb_points) {plan=23;normal_au_plan[0]=1.;normal_au_plan[1]=0.;normal_au_plan[2]=0.;normal_au_plan[3]=0.;}
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| 317 |
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if(cmpt2==nb_points) {plan=13;normal_au_plan[0]=0.;normal_au_plan[1]=1.;normal_au_plan[2]=0.;normal_au_plan[3]=0.;}
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| 318 |
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if(cmpt3==nb_points) {plan=12;normal_au_plan[0]=0.;normal_au_plan[1]=0.;normal_au_plan[2]=1.;normal_au_plan[3]=0.;}
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| 319 |
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| 320 |
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| 321 |
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get_minimum_de_Brak(ax,bx,cx,fa,fb,fc,ctrpts,plan);
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| 322 |
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| 323 |
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theta= bx.get_x();
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| 324 |
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if (theta==1e-6) theta=0.;
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| 325 |
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c=cos(theta);
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| 326 |
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s=sin(theta);
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| 327 |
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| 328 |
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if(plan==12)
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| 329 |
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{
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| 330 |
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axe1.change_x(c);
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| 331 |
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axe1.change_y(s);
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| 332 |
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axe1.change_z(0.);
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| 333 |
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axe1.change_w(0.);
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| 334 |
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| 335 |
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axe2.change_x(-s);
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| 336 |
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axe2.change_y(c);
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| 337 |
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axe2.change_z(0);
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| 338 |
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axe2.change_w(0);
|
| 339 |
|
|
}
|
| 340 |
|
|
if(plan==13)
|
| 341 |
|
|
{
|
| 342 |
|
|
axe1.change_x(c);
|
| 343 |
|
|
axe1.change_y(0.);
|
| 344 |
|
|
axe1.change_z(s);
|
| 345 |
|
|
axe1.change_w(0.);
|
| 346 |
|
|
|
| 347 |
|
|
axe2.change_x(-s);
|
| 348 |
|
|
axe2.change_y(0);
|
| 349 |
|
|
axe2.change_z(c);
|
| 350 |
|
|
axe2.change_w(0);
|
| 351 |
|
|
}
|
| 352 |
|
|
if(plan==23)
|
| 353 |
|
|
{
|
| 354 |
|
|
axe1.change_x(0);
|
| 355 |
|
|
axe1.change_y(c);
|
| 356 |
|
|
axe1.change_z(s);
|
| 357 |
|
|
axe1.change_w(0.);
|
| 358 |
|
|
|
| 359 |
|
|
axe2.change_x(0);
|
| 360 |
|
|
axe2.change_y(-s);
|
| 361 |
|
|
axe2.change_z(c);
|
| 362 |
|
|
axe2.change_w(0);
|
| 363 |
|
|
}
|
| 364 |
|
|
|
| 365 |
|
|
if(cmpt1==nb_points||cmpt2==nb_points||cmpt3==nb_points)
|
| 366 |
|
|
{
|
| 367 |
|
|
// axe2[0]=normal_au_plan[1]*axe1[2]-normal_au_plan[2]*axe1[1];
|
| 368 |
|
|
// axe2[1]=normal_au_plan[2]*axe1[0]-normal_au_plan[2]*axe1[2];
|
| 369 |
|
|
// axe2[2]=normal_au_plan[0]*axe1[1]-normal_au_plan[2]*axe1[0];
|
| 370 |
|
|
|
| 371 |
|
|
axe3[0]=normal_au_plan[0];
|
| 372 |
|
|
axe3[1]=normal_au_plan[1];
|
| 373 |
|
|
axe3[2]=normal_au_plan[2];
|
| 374 |
|
|
|
| 375 |
|
|
syst_axe.insert( syst_axe.end(),axe1);
|
| 376 |
|
|
syst_axe.insert( syst_axe.end(),axe2);
|
| 377 |
|
|
syst_axe.insert( syst_axe.end(),axe3);
|
| 378 |
|
|
|
| 379 |
|
|
return syst_axe;
|
| 380 |
|
|
}
|
| 381 |
|
|
|
| 382 |
|
|
normal_palan_project[0] =s;
|
| 383 |
|
|
normal_palan_project[1] =-c;
|
| 384 |
|
|
normal_palan_project[2] =0.;
|
| 385 |
|
|
|
| 386 |
|
|
|
| 387 |
|
|
for(int i=0;i<nb_points;i++)
|
| 388 |
|
|
{
|
| 389 |
|
|
OT_VECTEUR_4DD pt_proj;
|
| 390 |
|
|
double pnt[3];
|
| 391 |
|
|
double proj_pnt[3];
|
| 392 |
|
|
|
| 393 |
|
|
pnt[0] =(ctrpts[i].get_x()).get_x();
|
| 394 |
|
|
pnt[1] =(ctrpts[i].get_y()).get_x();
|
| 395 |
|
|
pnt[2] =(ctrpts[i].get_z()).get_x();
|
| 396 |
|
|
|
| 397 |
|
|
algo.Proj3D_Point_Plan (normal_palan_project, root, pnt, proj_pnt);
|
| 398 |
|
|
|
| 399 |
|
|
if ((proj_pnt[0]!=0.||proj_pnt[1]!=0.||proj_pnt[2]!=0)&&!pris)
|
| 400 |
|
|
{
|
| 401 |
|
|
e1_proj[0]=proj_pnt[0];
|
| 402 |
|
|
e1_proj[1]=proj_pnt[1];
|
| 403 |
|
|
e1_proj[2]=proj_pnt[2];
|
| 404 |
|
|
double norm=sqrt(pow(proj_pnt[0],2)+pow(proj_pnt[1],2)+pow(proj_pnt[2],2));
|
| 405 |
|
|
|
| 406 |
|
|
e1_proj[0]=e1_proj[0]/norm;
|
| 407 |
|
|
e1_proj[1]=e1_proj[1]/norm;
|
| 408 |
|
|
e1_proj[2]=e1_proj[2]/norm;
|
| 409 |
|
|
|
| 410 |
|
|
e2_proj[0]=normal_palan_project[1]*e1_proj[2]-normal_palan_project[2]*e1_proj[1];
|
| 411 |
|
|
e2_proj[1]=normal_palan_project[2]*e1_proj[0]-normal_palan_project[0]*e1_proj[2];
|
| 412 |
|
|
e2_proj[2]=normal_palan_project[0]*e1_proj[1]-normal_palan_project[1]*e1_proj[0];
|
| 413 |
|
|
|
| 414 |
|
|
OT_VECTEUR_3D V1(e1_proj[0],e2_proj[0],normal_palan_project[0]);
|
| 415 |
|
|
OT_VECTEUR_3D V2(e1_proj[1],e2_proj[1],normal_palan_project[1]);
|
| 416 |
|
|
OT_VECTEUR_3D V3(e1_proj[2],e2_proj[2],normal_palan_project[2]);
|
| 417 |
|
|
|
| 418 |
|
|
P.change_vecteur1(V1);
|
| 419 |
|
|
P.change_vecteur2(V2);
|
| 420 |
|
|
P.change_vecteur3(V3);
|
| 421 |
|
|
|
| 422 |
|
|
P_1=P.inverse();
|
| 423 |
|
|
pris=1;
|
| 424 |
|
|
}
|
| 425 |
|
|
|
| 426 |
|
|
OT_VECTEUR_3D V_PT(proj_pnt[0],proj_pnt[1],proj_pnt[2]);
|
| 427 |
|
|
|
| 428 |
|
|
OT_VECTEUR_3D V=P_1*V_PT;
|
| 429 |
|
|
|
| 430 |
|
|
|
| 431 |
|
|
pt_proj.change_x(V[0]);
|
| 432 |
|
|
pt_proj.change_y(V[1]);
|
| 433 |
|
|
pt_proj.change_z(V[2]);
|
| 434 |
|
|
|
| 435 |
|
|
ctrpts_proj.insert(ctrpts_proj.end(),pt_proj);
|
| 436 |
|
|
}
|
| 437 |
|
|
|
| 438 |
|
|
get_minimum_de_Brak(ax,bx,cx,fa,fb,fc,ctrpts_proj,plan);
|
| 439 |
|
|
|
| 440 |
|
|
theta= bx.get_x();
|
| 441 |
|
|
c=cos(theta);
|
| 442 |
|
|
s=sin(theta);
|
| 443 |
|
|
OT_VECTEUR_3D Vp(c,s,0.);
|
| 444 |
|
|
double nnv_x=Vp*P.get_vecteur1();
|
| 445 |
|
|
double nnv_y=Vp*P.get_vecteur2();
|
| 446 |
|
|
double nnv_z=Vp*P.get_vecteur3();
|
| 447 |
|
|
|
| 448 |
|
|
axe2.change_x(nnv_x);
|
| 449 |
|
|
axe2.change_y(nnv_y);
|
| 450 |
|
|
axe2.change_z(nnv_z);
|
| 451 |
|
|
|
| 452 |
|
|
double2 val=axe1*axe2;
|
| 453 |
|
|
|
| 454 |
|
|
axe3[0]=axe1[1]*axe2[2]-axe1[2]*axe2[1];
|
| 455 |
|
|
axe3[1]=axe1[2]*axe2[0]-axe1[2]*axe2[2];
|
| 456 |
|
|
axe3[2]=axe1[0]*axe2[1]-axe1[2]*axe2[0];
|
| 457 |
|
|
|
| 458 |
|
|
axe3[3]=0.;
|
| 459 |
|
|
|
| 460 |
|
|
|
| 461 |
|
|
syst_axe.insert( syst_axe.end(),axe1);
|
| 462 |
|
|
syst_axe.insert( syst_axe.end(),axe2);
|
| 463 |
|
|
syst_axe.insert( syst_axe.end(),axe3);
|
| 464 |
|
|
|
| 465 |
|
|
return syst_axe;
|
| 466 |
|
|
}
|
| 467 |
|
|
|
| 468 |
|
|
|
| 469 |
|
|
|
| 470 |
|
|
|
| 471 |
|
|
//vector<OT_VECTEUR_4DD> VCT_OUTILS::get_system_axes(OT_VECTEUR_4DD& root,vector<OT_VECTEUR_4DD>& axes,vector<OT_VECTEUR_4DD>& ctrpts)
|
| 472 |
|
|
OT_MATRICE_3D VCT_OUTILS::get_system_axes(OT_VECTEUR_4DD& root,vector<OT_VECTEUR_4DD>& axes,vector<OT_VECTEUR_4DD>& ctrpts)
|
| 473 |
|
|
{
|
| 474 |
|
|
|
| 475 |
|
|
double normal_palan_project[3];
|
| 476 |
|
|
double origine[3];
|
| 477 |
|
|
double2 ax,bx,cx,fa,fb,fc;
|
| 478 |
|
|
double theta,cosin,sinus;
|
| 479 |
|
|
OT_MATRICE_3D p,qT, pT,q;
|
| 480 |
|
|
vector<OT_VECTEUR_4DD> ctrpts_proj;
|
| 481 |
|
|
vector<OT_VECTEUR_4DD> syst_axe;
|
| 482 |
|
|
int nb_points=ctrpts.size();
|
| 483 |
|
|
OT_ALGORITHME_GEOMETRIQUE algo;
|
| 484 |
|
|
|
| 485 |
|
|
normal_palan_project[0] =(axes[2].get_x()).get_x();
|
| 486 |
|
|
normal_palan_project[1] =(axes[2].get_y()).get_x();
|
| 487 |
|
|
normal_palan_project[2] =(axes[2].get_z()).get_x();
|
| 488 |
|
|
origine[0] =root[0].get_x();
|
| 489 |
|
|
origine[1] =root[1].get_x();
|
| 490 |
|
|
origine[2] =root[2].get_x();
|
| 491 |
|
|
|
| 492 |
|
|
OT_VECTEUR_3D V1((axes[0].get_x()).get_x(),(axes[0].get_y()).get_x(),(axes[0].get_z()).get_x());
|
| 493 |
|
|
OT_VECTEUR_3D V2((axes[1].get_x()).get_x(),(axes[1].get_y()).get_x(),(axes[1].get_z()).get_x());
|
| 494 |
|
|
OT_VECTEUR_3D V3((axes[2].get_x()).get_x(),(axes[2].get_y()).get_x(),(axes[2].get_z()).get_x());
|
| 495 |
|
|
|
| 496 |
|
|
p.change_vecteur1(V1);
|
| 497 |
|
|
p.change_vecteur2(V2);
|
| 498 |
|
|
p.change_vecteur3(V3);
|
| 499 |
|
|
pT=p.transpose();
|
| 500 |
|
|
|
| 501 |
|
|
for(int i=0;i<nb_points;i++)
|
| 502 |
|
|
{
|
| 503 |
|
|
OT_VECTEUR_4DD pt_proj;
|
| 504 |
|
|
double point[3];
|
| 505 |
|
|
double proj_pnt[3];
|
| 506 |
|
|
|
| 507 |
|
|
|
| 508 |
|
|
point[0] =(ctrpts[i].get_x()).get_x();
|
| 509 |
|
|
point[1] =(ctrpts[i].get_y()).get_x();
|
| 510 |
|
|
point[2] =(ctrpts[i].get_z()).get_x();
|
| 511 |
|
|
|
| 512 |
|
|
algo.Proj3D_Point_Plan (normal_palan_project, origine, point, proj_pnt);
|
| 513 |
|
|
//centrer les points de controles sur le barycentre
|
| 514 |
|
|
for(int i=0;i<3;i++)
|
| 515 |
|
|
{
|
| 516 |
|
|
proj_pnt[i]-= origine[i];
|
| 517 |
|
|
}
|
| 518 |
|
|
|
| 519 |
|
|
OT_VECTEUR_3D V_PT(proj_pnt[0],proj_pnt[1],proj_pnt[2]);
|
| 520 |
|
|
//chercher les coord des points dans le nouveau systeme attach/ au plan
|
| 521 |
|
|
|
| 522 |
|
|
OT_VECTEUR_3D V=pT*V_PT;
|
| 523 |
|
|
|
| 524 |
|
|
|
| 525 |
|
|
pt_proj.change_x(V[0]);
|
| 526 |
|
|
pt_proj.change_y(V[1]);
|
| 527 |
|
|
pt_proj.change_z(V[2]);
|
| 528 |
|
|
|
| 529 |
|
|
ctrpts_proj.insert(ctrpts_proj.end(),pt_proj);
|
| 530 |
|
|
|
| 531 |
|
|
}
|
| 532 |
|
|
|
| 533 |
|
|
get_minimum_de_Brak(ax,bx,cx,fa,fb,fc,ctrpts_proj,12);
|
| 534 |
|
|
|
| 535 |
|
|
theta= bx.get_x();
|
| 536 |
|
|
// if (theta<=0.1) theta=0.;
|
| 537 |
|
|
cosin=cos(theta);
|
| 538 |
|
|
sinus=sin(theta);
|
| 539 |
|
|
|
| 540 |
|
|
OT_VECTEUR_4DD e1,e2,e3;
|
| 541 |
|
|
|
| 542 |
|
|
e1.change_x(cosin);
|
| 543 |
|
|
e1.change_y(sinus);
|
| 544 |
|
|
e1.change_z(0.);
|
| 545 |
|
|
e1.change_w(0.);
|
| 546 |
|
|
|
| 547 |
|
|
e2.change_x(-sinus);
|
| 548 |
|
|
e2.change_y(cosin);
|
| 549 |
|
|
e2.change_z(0);
|
| 550 |
|
|
e2.change_w(0);
|
| 551 |
|
|
//e3=axes[2];
|
| 552 |
|
|
e3=e1^e2;
|
| 553 |
|
|
|
| 554 |
|
|
|
| 555 |
|
|
// e3=e1^e2;
|
| 556 |
|
|
|
| 557 |
|
|
|
| 558 |
|
|
V1.change_x(cosin);
|
| 559 |
|
|
V1.change_y(sinus);
|
| 560 |
|
|
V1.change_z(0);
|
| 561 |
|
|
|
| 562 |
|
|
V2.change_x((e2[0].get_x()));
|
| 563 |
|
|
V2.change_y((e2[1].get_x()));
|
| 564 |
|
|
V2.change_z((e2[2].get_x()));
|
| 565 |
|
|
|
| 566 |
|
|
V3.change_x((e3[0].get_x()));
|
| 567 |
|
|
V3.change_y((e3[1].get_x()));
|
| 568 |
|
|
V3.change_z((e3[2].get_x()));
|
| 569 |
|
|
q.change_vecteur1(V1);
|
| 570 |
|
|
q.change_vecteur2(V2);
|
| 571 |
|
|
q.change_vecteur3(V3);
|
| 572 |
|
|
qT=q.transpose();
|
| 573 |
|
|
syst_axe.insert( syst_axe.end(),e1);
|
| 574 |
|
|
syst_axe.insert( syst_axe.end(),e2);
|
| 575 |
|
|
syst_axe.insert( syst_axe.end(),e3);
|
| 576 |
souaissa |
160 |
|
| 577 |
|
|
OT_MATRICE_3D w=p*q; //les vecteurs de la base est en colone
|
| 578 |
|
|
//w=w.inverse();
|
| 579 |
souaissa |
151 |
// OT_MATRICE_3D w(V1,V2,V3);
|
| 580 |
|
|
|
| 581 |
|
|
return w;
|
| 582 |
|
|
// return syst_axe;
|
| 583 |
|
|
}
|
| 584 |
|
|
|
| 585 |
|
|
|
| 586 |
|
|
|
| 587 |
|
|
OT_VECTEUR_4DD VCT_OUTILS::get_plan_medien(vector<OT_VECTEUR_4DD>& ctrpts)
|
| 588 |
|
|
{
|
| 589 |
|
|
int nb_pts=ctrpts.size();
|
| 590 |
|
|
OT_MATRICE_3D p;
|
| 591 |
|
|
OT_VECTEUR_3D v;
|
| 592 |
|
|
for(int i=0;i<nb_pts;i++)
|
| 593 |
|
|
{
|
| 594 |
|
|
OT_VECTEUR_4DD pt=ctrpts[i];
|
| 595 |
|
|
p(0,0)=p(0,0)+pt[0].get_x()*pt[0].get_x();
|
| 596 |
|
|
p(0,1)=p(0,0)+pt[0].get_x()*pt[1].get_x();
|
| 597 |
|
|
p(0,2)=p(0,0)+pt[0].get_x();
|
| 598 |
|
|
p(1,1)=p(0,0)+pt[1].get_x()*pt[1].get_x();
|
| 599 |
|
|
p(1,2)=p(0,0)+pt[1].get_x();
|
| 600 |
|
|
v[0]=v[0]+pt[0].get_x()*pt[2].get_x();
|
| 601 |
|
|
v[1]=v[1]+pt[1].get_x()*pt[2].get_x();
|
| 602 |
|
|
v[2]=v[1]+pt[2].get_x();
|
| 603 |
|
|
}
|
| 604 |
|
|
p(1,0)=p(0,1);
|
| 605 |
|
|
p(2,0)=p(0,2);
|
| 606 |
|
|
p(2,1)=p(2,1);
|
| 607 |
|
|
|
| 608 |
|
|
p=p.inverse();
|
| 609 |
|
|
OT_VECTEUR_3D param=p*v;
|
| 610 |
|
|
OT_VECTEUR_4DD tparam(param[0],param[1],1,0.);
|
| 611 |
|
|
tparam=tparam.vecteur_norme();
|
| 612 |
|
|
double2 nor= tparam.norme();
|
| 613 |
|
|
double2 prec=1e-5 ;
|
| 614 |
|
|
for(int j=0;j<4;j++)
|
| 615 |
|
|
{
|
| 616 |
|
|
if(tparam[j].get_fabs()<prec)
|
| 617 |
|
|
tparam[j]=0.;
|
| 618 |
|
|
}
|
| 619 |
|
|
tparam[3]=tparam[3]/nor;
|
| 620 |
|
|
return tparam;
|
| 621 |
|
|
|
| 622 |
|
|
}
|
