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Fit_Contour2.c
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#include"utils.h"
#include"matrix_ops.h"
#include"globals.h"
void find_edge(int *tlist,double *vlist2,int nfac,int nvert,int *visible,double *offset,double *a,double *b,int *cledge,double *clpoint,int *inters,double *dclpx,double *dclpy,double *doffx,double *doffy);
void Fit_Contour2(int *tlist,double *vlist,int nfac,int nvert,double *angles,double *up,double *E,double *E0,double TIME,double *offset,double *datax,double *datay,int npoints,double *dist,double *dx,double *dy,double *dz,double *dangles,double *dtox,double *dtoy)
{
/*INPUT:
* TIMES nchordsx2 disappearance and appearance times
* offset=[x,y] offset in plane
* chords nchordsx4 coordinates, disappearance and appearance
* Chordoffset nchords vector,containing chord offset in seconds
* OUTPUT:
* dist nchordsx4 matrix, x and y distance ofclosest model points to disappearance and appearance points
* dx,dy,dz 4nchordsxnvert matrix
* dangles 4nchordsx3 matrix
* dtox,dtoy 2*npointsx1, derivatives wrt offsets
* dCOdoff 2*npointsxnchords matrix, derivatives for chord offsets
* */
double M[3][3],MRT[3][3],MRdb[3][3],MRdl[3][3],MRdo[3][3],MRTT[9];
double Er[3],E0r[3];
double MRdbT[9],MRdlT[9],MRdoT[9];
double R[3][3],Rb[3][3],Rl[3][3],Ro[3][3],Rt[3][3],RbT[3][3],RlT[3][3],RoT[3][3];
int cledge[2],inters;
int edget[2];
int ic1,ic2,fa1,fa2;
double LARGE_VALUE=1e4;
double clpoint[2],dclpx[4],dclpy[4];
double temp4[4];
double V[3];
double off[]={0,0};
double nd_dist,nd_dx,nd_dy;
int nd_vert;
// int *Adj=calloc(nvert*nvert,sizeof(int));
// AdjFacet(tlist,vlist,nfac,nvert,Adj);
Calculate_Frame_Matrix(E,up,M);
rotate(angles[0],angles[1],angles[2],angles[3],TIME,R,Rb,Rl,Ro);
//Here we determine which facets are visible
//We rotate view/sun directions
int *visible;
visible=calloc(nfac,sizeof(int));
mult_vector(R,E,Er);
mult_vector(R,E0,E0r);
FindActualBlockers(tlist,vlist,nfac,nvert,Er,E0r,1,visible);
//visible[j]==1 if jth facet is visible
transpose(R,Rt); //Transpose, since we rotate the model, not view directions
transpose(Rb,RbT);
transpose(Rl,RlT);
transpose(Ro,RoT);
mult_mat(M,Rt,MRT);
double mr11,mr12,mr13,mr21,mr22,mr23;
mr11=MRT[0][0];
mr12=MRT[0][1];
mr13=MRT[0][2];
mr21=MRT[1][0];
mr22=MRT[1][1];
mr23=MRT[1][2];
mult_mat(M,RbT,MRdb);
mult_mat(M,RlT,MRdl);
mult_mat(M,RoT,MRdo);
zero_array(dist,npoints);
zero_array(dx,(npoints)*nvert);
zero_array(dy,(npoints)*nvert);
zero_array(dz,(npoints)*nvert);
zero_array(dangles,(npoints)*3);
zero_array(dtox,npoints);
zero_array(dtox,npoints);
transpose2(MRT,MRTT);
transpose2(MRdb,MRdbT);
transpose2(MRdl,MRdlT);
transpose2(MRdo,MRdoT);
double a[2],b[2];
double *vlist2=calloc(nvert*3,sizeof(double));
double *vlist2b=calloc(nvert*3,sizeof(double));
double *vlist2l=calloc(nvert*3,sizeof(double));
double *vlist2o=calloc(nvert*3,sizeof(double));
matrix_prod(vlist,nvert,3,MRTT,3,vlist2); //vlist2 contains rotated and projected model
matrix_prod(vlist,nvert,3,MRdbT,3,vlist2b);
matrix_prod(vlist,nvert,3,MRdlT,3,vlist2l);
matrix_prod(vlist,nvert,3,MRdoT,3,vlist2o);
double w;
double el=0;
double d2=0;
double distx;
double disty;
double distxdx1,distxdy1,distxdz1,distxdx2,distxdy2,distxdz2;
double distydx1,distydy1,distydz1,distydx2,distydy2,distydz2;
double distxdox,distxdoy,distydox,distydoy;
double distxdb,distxdl,distxdo;
double distydb,distydl,distydo;
double doffx[2],doffy[2];
a[0]=0;
a[1]=0;
double *dist2=calloc(nvert,sizeof(double));
int *vertices=calloc(nvert,sizeof(int));
for(int j=0;j<npoints;j++)
{
b[0]=datax[j];
b[1]=datay[j];
find_edge(tlist,vlist2,nfac,nvert,visible,offset,a,b,cledge,clpoint,&inters,dclpx,dclpy,doffx,doffy);
if(inters==1)
{
distx=clpoint[0]-datax[j];
disty=clpoint[1]-datay[j];
distxdx1=dclpx[0]*mr11+dclpx[1]*mr21; //distx wrt ic1
distxdy1=dclpx[0]*mr12+dclpx[1]*mr22;
distxdz1=dclpx[0]*mr13+dclpx[1]*mr23;
distxdx2=dclpx[2]*mr11+dclpx[3]*mr21;//distx wrt ic2
distxdy2=dclpx[2]*mr12+dclpx[3]*mr22;
distxdz2=dclpx[2]*mr13+dclpx[3]*mr23;
distydx1=dclpy[0]*mr11+dclpy[1]*mr21; //disty wrt ic1
distydy1=dclpy[0]*mr12+dclpy[1]*mr22;
distydz1=dclpy[0]*mr13+dclpy[1]*mr23;
distydx2=dclpy[2]*mr11+dclpy[3]*mr21;
distydy2=dclpy[2]*mr12+dclpy[3]*mr22;
distydz2=dclpy[2]*mr13+dclpy[3]*mr23;
d2=pow(distx,2)+pow(disty,2);
dist[j]=sqrt(d2); //distance in x
ic1=cledge[0];
ic2=cledge[1];
vertices[ic1]=1;
vertices[ic2]=1;
set_el(dx,nvert+npoints,nvert,pow(d2,-0.5)*(distx*distxdx1+disty*distydx1),j,ic1);
set_el(dx,nvert+npoints,nvert,pow(d2,-0.5)*(distx*distxdx2+disty*distydx2),j,ic2);
set_el(dy,nvert+npoints,nvert,pow(d2,-0.5)*(distx*distxdy1+disty*distydy1),j,ic1);
set_el(dy,nvert+npoints,nvert,pow(d2,-0.5)*(distx*distxdy2+disty*distydy2),j,ic2);
set_el(dz,nvert+npoints,nvert,pow(d2,-0.5)*(distx*distxdz1+disty*distydz1),j,ic1);
set_el(dz,nvert+npoints,nvert,pow(d2,-0.5)*(distx*distxdz2+disty*distydz2),j,ic2);
/*
el=dclpx[0]*mr11+dclpx[1]*mr21;
set_el(dx,2*npoints,nvert,el,2*j,ic1);
el=dclpx[0]*mr12+dclpx[1]*mr22;
set_el(dy,2*npoints,nvert,el,2*j,ic1);
el=dclpx[0]*mr13+dclpx[1]*mr23;
set_el(dz,2*npoints,nvert,el,2*j,ic1);
el=dclpx[2]*mr11+dclpx[3]*mr21;
set_el(dx,2*npoints,nvert,el,2*j,ic2);
el=dclpx[2]*mr12+dclpx[3]*mr22;
set_el(dy,2*npoints,nvert,el,2*j,ic2);
el=dclpx[2]*mr13+dclpx[3]*mr23;
set_el(dz,2*npoints,nvert,el,2*j,ic2);
el=dclpy[0]*mr11+dclpy[1]*mr21;
set_el(dx,2*npoints,nvert,el,2*j+1,ic1);
el=dclpy[0]*mr12+dclpy[1]*mr22;
set_el(dy,2*npoints,nvert,el,2*j+1,ic1);
el=dclpy[0]*mr13+dclpy[1]*mr23;
set_el(dz,2*npoints,nvert,el,2*j+1,ic1);
el=dclpy[2]*mr11+dclpy[3]*mr21;
set_el(dx,2*npoints,nvert,el,2*j+1,ic2);
el=dclpy[2]*mr12+dclpy[3]*mr22;
set_el(dy,2*npoints,nvert,el,2*j+1,ic2);
el=dclpy[2]*mr13+dclpy[3]*mr23;
set_el(dz,2*npoints,nvert,el,2*j+1,ic2);
*/
//Chords offset derivatives
//Offset derivatives
distxdox=(dclpx[0]+dclpx[2]);
distydox=(dclpy[0]+dclpy[2]);
distxdoy=(dclpx[1]+dclpx[3]);
distydoy=(dclpy[1]+dclpy[3]);
dtox[j]=pow(d2,-0.5)*(distx*doffx[0]+disty*doffx[1]);
dtoy[j]=pow(d2,-0.5)*(distx*doffy[0]+disty*doffy[1]);
/*
dtox[2*j]=(dclpx[0]+dclpx[2]);
dtox[2*j+1]=(dclpy[0]+dclpy[2]);
dtoy[2*j]=(dclpx[1]+dclpx[3]);
dtoy[2*j+1]=(dclpy[1]+dclpy[3]);
*/
distxdb=(dclpx[0]*get_el(vlist2b,nvert,3,ic1,0)+dclpx[1]*get_el(vlist2b,nvert,3,ic1,1)+dclpx[2]*get_el(vlist2b,nvert,3,ic2,0)+dclpx[3]*get_el(vlist2b,nvert,3,ic2,1));
distydb=(dclpy[0]*get_el(vlist2b,nvert,3,ic1,0)+dclpy[1]*get_el(vlist2b,nvert,3,ic1,1)+dclpy[2]*get_el(vlist2b,nvert,3,ic2,0)+dclpy[3]*get_el(vlist2b,nvert,3,ic2,1));
distxdl=(dclpx[0]*get_el(vlist2l,nvert,3,ic1,0)+dclpx[1]*get_el(vlist2l,nvert,3,ic1,1)+dclpx[2]*get_el(vlist2l,nvert,3,ic2,0)+dclpx[3]*get_el(vlist2l,nvert,3,ic2,1));
distydl=(dclpy[0]*get_el(vlist2l,nvert,3,ic1,0)+dclpy[1]*get_el(vlist2l,nvert,3,ic1,1)+dclpy[2]*get_el(vlist2l,nvert,3,ic2,0)+dclpy[3]*get_el(vlist2l,nvert,3,ic2,1));
distxdo=(dclpx[0]*get_el(vlist2o,nvert,3,ic1,0)+dclpx[1]*get_el(vlist2o,nvert,3,ic1,1)+dclpx[2]*get_el(vlist2o,nvert,3,ic2,0)+dclpx[3]*get_el(vlist2o,nvert,3,ic2,1));
distydo=(dclpy[0]*get_el(vlist2o,nvert,3,ic1,0)+dclpy[1]*get_el(vlist2o,nvert,3,ic1,1)+dclpy[2]*get_el(vlist2o,nvert,3,ic2,0)+dclpy[3]*get_el(vlist2o,nvert,3,ic2,1));
/*
dangles[2*j*3]=(dclpx[0]*get_el(vlist2b,nvert,3,ic1,0)+dclpx[1]*get_el(vlist2b,nvert,3,ic1,1)+dclpx[2]*get_el(vlist2b,nvert,3,ic2,0)+dclpx[3]*get_el(vlist2b,nvert,3,ic2,1));
dangles[2*j*3+1]=(dclpx[0]*get_el(vlist2l,nvert,3,ic1,0)+dclpx[1]*get_el(vlist2l,nvert,3,ic1,1)+dclpx[2]*get_el(vlist2l,nvert,3,ic2,0)+dclpx[3]*get_el(vlist2l,nvert,3,ic2,1));
dangles[2*j*3+2]=(dclpx[0]*get_el(vlist2o,nvert,3,ic1,0)+dclpx[1]*get_el(vlist2o,nvert,3,ic1,1)+dclpx[2]*get_el(vlist2o,nvert,3,ic2,0)+dclpx[3]*get_el(vlist2o,nvert,3,ic2,1));
dangles[2*j*3+3+0]=(dclpy[0]*get_el(vlist2b,nvert,3,ic1,0)+dclpy[1]*get_el(vlist2b,nvert,3,ic1,1)+dclpy[2]*get_el(vlist2b,nvert,3,ic2,0)+dclpy[3]*get_el(vlist2b,nvert,3,ic2,1));
dangles[2*j*3+3+1]=(dclpy[0]*get_el(vlist2l,nvert,3,ic1,0)+dclpy[1]*get_el(vlist2l,nvert,3,ic1,1)+dclpy[2]*get_el(vlist2l,nvert,3,ic2,0)+dclpy[3]*get_el(vlist2l,nvert,3,ic2,1));
dangles[2*j*3+3+2]=(dclpy[0]*get_el(vlist2o,nvert,3,ic1,0)+dclpy[1]*get_el(vlist2o,nvert,3,ic1,1)+dclpy[2]*get_el(vlist2o,nvert,3,ic2,0)+dclpy[3]*get_el(vlist2o,nvert,3,ic2,1));
*/
dangles[3*j]=pow(d2,-0.5)*(distx*distxdb+disty*distydb);
dangles[3*j+1]=pow(d2,-0.5)*(distx*distxdl+disty*distydl);
dangles[3*j+2]=pow(d2,-0.5)*(distx*distxdo+disty*distydo);
}
else
{
printf("No intersection with Boundary contour. j :%d \n",j);
dist[j]=LARGE_VALUE;
}
}
free(vlist2);
free(vlist2b);
free(vlist2l);
free(vlist2o);
}