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EgtGeomKernel :

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- estrapolata funzione per l'intersezione tra superficie di bezier 3x1 con una linea.
This commit is contained in:
Daniele Bariletti
2026-03-26 12:42:05 +01:00
parent 25f6bae120
commit 2aca943de4
2 changed files with 358 additions and 20 deletions
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IntersLineSurfBez.cpp
+357 -19
View File
@@ -72,14 +72,28 @@ static void
UpdateInfoIntersLineSurfBz( const Point3d& ptL, const Vector3d& vtDir, int nILT, int nT, const Point3d& ptSP, const Point3d& ptIBz, double dCos,
const Point3d& ptSP2, const Point3d& ptIBz2, double dCos2, ILSBIVECTOR& vInfo)
{
int nType = LSBT_NONE ;
if ( dCos > EPS_ZERO)
nType = LSBT_IN ;
else if ( dCos < EPS_ZERO)
nType = LSBT_OUT ;
else
nType = LSBT_TOUCH ;
if ( nILT == ILTA_IN || nILT == ILTA_EDGE || nILT == ILTA_VERT || nILT == ILTA_NO_TRIA) {
double dU = ( ptIBz - ptL) * vtDir ;
vInfo.emplace_back( nILT, dU, nT, dCos, ptIBz, ptSP) ;
vInfo.emplace_back( nType, dU, nT, dCos, ptIBz, ptSP) ;
}
else if ( nILT == ILTA_SEGM || nILT == ILTA_SEGM_ON_EDGE) {
double dU = ( ptIBz - ptL) * vtDir ;
double dU2 = ( ptIBz2 - ptL) * vtDir ;
vInfo.emplace_back( nILT, dU, dU2, nT, dCos2, ptIBz, ptIBz2, ptSP, ptSP2) ;
int nType2 = LSBT_NONE ;
if ( dCos2 > EPS_ZERO)
nType2 = LSBT_IN ;
else if ( dCos2 < EPS_ZERO)
nType2 = LSBT_OUT ;
vInfo.emplace_back( nType, dU, 0, nT, dCos, ptIBz, P_INVALID, ptSP, P_INVALID) ;
vInfo.emplace_back( nType2, dU2, 0, nT, dCos2, ptIBz2, P_INVALID, ptSP2, P_INVALID) ;
}
}
@@ -93,9 +107,7 @@ OrderInfoIntersLineSurfBz( ILSBIVECTOR& vInfo)
// ordino il vettore delle intersezioni secondo il senso crescente del parametro di linea
sort( vInfo.begin(), vInfo.end(),
[]( const IntLinSbzInfo& a, const IntLinSbzInfo& b)
{ double dUa = ( ( a.nILTA == ILTA_SEGM || a.nILTA == ILTA_SEGM_ON_EDGE) ? ( a.dU + a.dU2) / 2 : a.dU) ;
double dUb = ( ( b.nILTA == ILTA_SEGM || b.nILTA == ILTA_SEGM_ON_EDGE) ? ( b.dU + b.dU2) / 2 : b.dU) ;
return ( dUa < dUb) ; }) ;
{ return ( a.dU < b.dU) ; }) ;
}
//----------------------------------------------------------------------------
@@ -181,19 +193,9 @@ FilterLineSurfBzInters( const ILSBIVECTOR& vInfo, INTDBLVECTOR& vInters)
// ciclo sulle intersezioni
for ( const auto& Info : vInfo) {
// se intersezione puntuale
if ( Info.nILTA == ILTA_VERT || Info.nILTA == ILTA_EDGE || Info.nILTA == ILTA_IN) {
int nFlag = LSBT_TOUCH ;
if ( Info.dCosDN > EPS_ZERO)
nFlag = LSBT_OUT ;
else if ( Info.dCosDN < -EPS_ZERO)
nFlag = LSBT_IN ;
vInters.emplace_back( nFlag, Info.dU) ;
}
// se altrimenti intersezione con coincidenza
else if ( Info.nILTA == ILTA_SEGM || Info.nILTA == ILTA_SEGM_ON_EDGE) {
vInters.emplace_back( LSBT_TG_INI, Info.dU) ;
vInters.emplace_back( LSBT_TG_FIN, Info.dU2) ;
}
vInters.emplace_back( Info.nILSB, Info.dU) ;
// se intersezione sovrapposta
// da sviluppare
}
// elimino intersezioni ripetute
for ( size_t j = 1 ; j < vInters.size() ; ) {
@@ -239,7 +241,343 @@ FilterLineSurfBzInters( const ILSBIVECTOR& vInfo, INTDBLVECTOR& vInters)
}
//----------------------------------------------------------------------------
// Intersezione di una linea con una superficie di Bezier
// Intersezione di una linea con una superficie di Bezier di grado 3x1 monopatch
//----------------------------------------------------------------------------
bool
IntersLineSurfBzCubicLinear( const Point3d& ptL, const Vector3d& vtL, double dLen, const ISurfBezier* pSurfBz,
ILSBIVECTOR& vInfo, bool bFinite)
{
int nDegU, nDegV, nSpanU, nSpanV ;
bool bRat, bTrimmed ;
pSurfBz->GetInfo( nDegU, nDegV, nSpanU, nSpanV, bRat, bTrimmed) ;
// funzione pensata per funzionare solo con una monopatch di grado 3x1
if ( nDegU != 3 || nDegV != 1 || nSpanU > 1 || nSpanV > 1 || bRat)
return false ;
int nInters = int( vInfo.size()) ;
Point3d r = ptL ;
Vector3d q = vtL ;
bool bNeedToRotX = AreSameVectorApprox( q, X_AX) ;
bool bNeedToRotY = AreSameVectorApprox( q, Y_AX) ;
bool bNeedToRot = bNeedToRotX || bNeedToRotY ;
Frame3d frRot ;
if ( bNeedToRotX)
frRot.Set( ORIG, X_AX) ;
if ( bNeedToRotY)
frRot.Set( ORIG, Y_AX) ;
if ( bNeedToRot) {
r.ToLoc( frRot) ;
q.ToLoc( frRot) ;
}
PNTVECTOR vPntCtrl = pSurfBz->GetAllControlPoints() ;
if ( bNeedToRot) {
for ( Point3d& pt: vPntCtrl)
pt.ToLoc( frRot) ;
}
Vector3d A = vPntCtrl[4] - vPntCtrl[0] ;
Vector3d B = vPntCtrl[5] - vPntCtrl[1] ;
Vector3d C = vPntCtrl[6] - vPntCtrl[2] ;
Vector3d D = vPntCtrl[7] - vPntCtrl[3] ;
Vector3d E = vPntCtrl[0] - ORIG ;
Vector3d F = vPntCtrl[1] - ORIG ;
Vector3d G = vPntCtrl[2] - ORIG ;
Vector3d H = vPntCtrl[3] - ORIG ;
Vector3d a3 = -A + 3 * B - 3 * C + D ;
Vector3d a2 = 3 * A - 6 * B + 3 * C ;
Vector3d a1 = -3 * A + 3 * B ;
Vector3d a0 = A ;
Vector3d b3 = -E + 3 * F - 3 * G + H ;
Vector3d b2 = 3 * E - 6 * F + 3 * G ;
Vector3d b1 = -3 * E + 3 * F ;
Vector3d b0 = E ;
DBLVECTOR vdCoeff, vdRoots ;
// coefficienti dal grado più basso al grado più alto
vdCoeff = { // c0
q.x*q.z*a0.y*b0.z - q.x*q.y*a0.z*b0.z // 3
- r.z*q.x*q.z*a0.y + r.z*q.x*q.y*a0.z + // 3
q.y*q.z*a0.z*b0.z - q.z*q.z*a0.y*b0.x // 4
- r.x*q.y*q.z*a0.z + r.x*q.z*q.z*a0.y + // 4
q.z*q.z*a0.x*b0.y - q.y*q.z*a0.x*b0.z - q.x*q.z*a0.z*b0.y + q.x*q.y*a0.z*b0.z // 5
- r.y*q.z*q.z*a0.x + r.z*q.y*q.z*a0.x + r.y*q.x*q.z*a0.z - r.z*q.x*q.y*a0.z, // 5
// c1
q.x*q.z*(a1.y*b0.z + a0.y*b1.z) - q.x*q.y*(a1.z*b0.z + a0.z*b1.z) // 3
- r.z*q.x*q.z*a1.y + r.z*q.x*q.y*a1.z + // 3
q.y*q.z*(a1.z*b0.x + a0.z*b1.x) - q.z*q.z*(a1.y*b0.x + a0.y*b1.x) // 4
- r.x*q.y*q.z*a1.z + r.x*q.z*q.z*a1.y + // 4
q.z*q.z*(a1.x*b0.y + a0.x*b1.y) - q.y*q.z*(a1.x*b0.z + a0.x*b1.z) // 5
- q.x*q.z*(a1.z*b0.y + a0.z*b1.y) + q.x*q.y*(a1.z*b0.z + a0.z*b1.z) // 5
- r.y*q.z*q.z*a1.x + r.z*q.y*q.z*a1.x + r.y*q.x*q.z*a1.z - r.z*q.x*q.y*a1.z, // 5
// c2
q.x*q.z*(a2.y*b0.z + a1.y*b1.z + a0.y*b2.z) - q.x*q.y*(a2.z*b0.z + a1.z*b1.z + a0.z*b2.z) // 3
- r.z*q.x*q.z*a2.y + r.z*q.x*q.y*a2.z + // 3
q.y*q.z*(a2.z*b0.x + a1.z*b1.x + a0.z*b2.x) - q.z*q.z*(a2.y*b0.x + a1.y*b1.x + a0.y*b2.x) // 4
- r.x*q.y*q.z*a2.z + r.x*q.z*q.z*a2.y + // 4
q.z*q.z*(a2.x*b0.y + a1.x*b1.y + a0.x*b2.y) - q.y*q.z*(a2.x*b0.z + a1.x*b1.z + a0.x*b2.z) // 5
- q.x*q.z*(a2.z*b0.y + a1.z*b1.y + a0.z*b2.y) + q.x*q.y*(a2.z*b0.z + a1.z*b1.z + a0.z*b2.z)// 5
- r.y*q.z*q.z*a2.x + r.z*q.y*q.z*a2.x + r.y*q.x*q.z*a2.z - r.z*q.x*q.y*a2.z, // 5
// c3
q.x*q.z*(a3.y*b0.z + a2.y*b1.z + a1.y*b2.z + a0.y*b3.z) - q.x*q.y*(a3.z*b0.z + a2.z*b1.z + a1.z*b2.z + a0.z*b3.z) // 3
- r.z*q.x*q.z*a3.y + r.z*q.x*q.y*a3.z + // 3
q.y*q.z*(a3.z*b0.x + a2.z*b1.x + a1.z*b2.x + a0.z*b3.x) - q.z*q.z*(a3.y*b0.x + a2.y*b1.x + a1.y*b2.x + a0.y*b3.x) // 4
- r.x*q.y*q.z*a3.z + r.x*q.z*q.z*a3.y + // 4
q.z*q.z*(a3.x*b0.y + a2.x*b1.y + a1.x*b2.y + a0.x*b3.y) - q.y*q.z*(a3.x*b0.z + a2.x*b1.z + a1.x*b2.z + a0.x*b3.z) // 5
- q.x*q.z*(a3.z*b0.y + a2.z*b1.y + a1.z*b2.y + a0.z*b3.y) + q.x*q.y*(a3.z*b0.z + a2.z*b1.z + a1.z*b2.z + a0.z*b3.z)// 5
- r.y*q.z*q.z*a3.x + r.z*q.y*q.z*a3.x + r.y*q.x*q.z*a3.z - r.z*q.x*q.y*a3.z, // 5
// c4
q.x*q.z*(a3.y*b1.z + a2.y*b2.z + a1.y*b3.z) - q.x*q.y*(a3.z*b1.z + a2.z*b2.z + a1.z*b3.z) + // 3
q.y*q.z*(a3.z*b1.x + a2.z*b2.x + a1.z*b3.x) - q.z*q.z*(a3.y*b1.x + a2.y*b2.x + a1.y*b3.x) + // 4
q.z*q.z*(a3.x*b1.y + a2.x*b2.y + a1.x*b3.y) - q.y*q.z*(a3.x*b1.z + a2.x*b2.z + a1.x*b3.z) // 5
- q.x*q.z*(a3.z*b1.y + a2.z*b2.y + a1.z*b3.y) + q.x*q.y*(a3.z*b1.z + a2.z*b2.z + a1.z*b3.z), // 5
// c5
q.x*q.z*(a3.y*b2.z + a2.y*b3.z) - q.x*q.y*(a3.z*b2.z + a2.z*b3.z) + // 3
q.y*q.z*(a3.z*b2.x + a2.z*b3.x) - q.z*q.z*(a3.y*b2.x + a2.y*b3.x) + // 4
q.z*q.z*(a3.x*b2.y + a2.x*b3.y) - q.y*q.z*(a3.x*b2.z + a2.x*b3.z) // 5
- q.x*q.z*(a3.z*b2.y + a2.z*b3.y) + q.x*q.y*(a3.z*b2.z + a2.z*b3.z), // 5
// c6
q.x*q.z*a3.y*b3.z - q.x*q.y*a3.z*b3.z + // 3
q.y*q.z*a3.z*b3.x - q.z*q.z*a3.y*b3.x + // 4
q.z*q.z*a3.x*b3.y - q.y*q.z*a3.x*b3.z - q.x*q.z*a3.z*b3.y + q.x*q.y*a3.z*b3.z} ; // 5
int nRoots = PolynomialRoots( 6, vdCoeff, vdRoots) ;
bool bFound = false ;
for ( int w = 0 ; w < nRoots ; ++w) {
double dU = 0, dV = 0 ;
if ( vdRoots[w] > 0 - EPS_ZERO && vdRoots[w] < 1 + EPS_ZERO) {
dU = vdRoots[w] ;
// verifico che non sia una soluzione con molteplicità > 1
bool bAlreadyFound = false ;
for ( int k = w - 1 ; k >= 0 && ! bAlreadyFound ; --k)
bAlreadyFound = ( abs( dU - vdRoots[k]) < EPS_PARAM) ;
if ( ! bAlreadyFound) {
Vector3d vAlpha = a3 * pow(dU, 3) + a2 * pow( dU, 2) + a1 * dU + a0 ;
Vector3d vBeta = b3 * pow(dU, 3) + b2 * pow( dU, 2) + b1 * dU + b0 ;
double dDen = ( vAlpha.x * q.z - vAlpha.z * q.x) ;
if ( abs( dDen) > EPS_ZERO)
dV = ( ( vBeta.z - r.z) * q.x - ( vBeta.x - r.x ) * q.z) / dDen ;
else {
// se la prima equazione risulta un x/0 allora uso la seconda equazione per trovare il secondo parametro
double dDen2 = ( vAlpha.y * q.z - vAlpha.z * q.y) ;
dV = ( ( vBeta.z - r.z) * q.y - ( vBeta.y - r.y ) * q.z) / dDen2 ;
}
if ( dV > - EPS_ZERO && dV < 1 + EPS_ZERO) {
Point3d ptIBez, ptIBez2 ;
Vector3d vtN ;
pSurfBz->GetPointNrmD1D2(dU, dV, ISurfBezier::Side::FROM_MINUS, ISurfBezier::Side::FROM_MINUS, ptIBez, vtN) ;
Point3d ptSP( dU, dV, 0), ptSP2 ;
double dCos = vtN * vtL, dCos2 = 0 ;
int nType = ILTA_NO_TRIA ;
UpdateInfoIntersLineSurfBz( ptL, vtL, nType, -1, ptSP, ptIBez, dCos, ptSP2, ptIBez2, dCos2, vInfo) ;
bFound = true ;
}
}
}
}
//// se tutti i coefficienti sono zero allora potrei avere una linea che giace sulla superficie
//// per trovare i punti di inizio e fine sovrapposizione trovo i punti a minima distanza tra la linea e gli edge della superficie
//if ( ! bFound && abs( vdCoeff[0]) < EPS_ZERO && abs( vdCoeff[1]) < EPS_ZERO && abs( vdCoeff[2]) < EPS_ZERO) {
// ICRVCOMPOPOVECTOR vCrvEdge( 4) ;
// vCrvEdge[0].Set(pSurfBz->GetCurveOnU( 0)) ;
// vCrvEdge[1].Set(pSurfBz->GetCurveOnV( 1)) ;
// vCrvEdge[2].Set(pSurfBz->GetCurveOnU( 1)) ;
// vCrvEdge[3].Set(pSurfBz->GetCurveOnV( 0)) ;
// double dAngTolDeg = 5 ;
// for ( int i = 0 ; i < 4 ; ++i) {
// PolyLine plApprox ; vCrvEdge[0]->ApproxWithLines( EPS_SMALL, dAngTolDeg, ICurve::ApprLineType::APL_STD, plApprox) ;
// //CurveComposite cCC ;
// //cCC.FromPolyLine( plApprox) ;
// int nClosestLine = -1 ;
// double dMinDist = INFINITO ;
// Point3d pt ; plApprox.GetFirstPoint( pt) ;
// Point3d ptClosest ;
// int c = 0 ;
// int nTot = plApprox.GetPointNbr() ;
// for ( int j = 0 ; j < nTot ; ++j) {
// DistPointLine dpl( pt, ptL, vtL, dLen, bFinite) ;
// double dDist = INFINITO ;
// dpl.GetDist( dDist) ;
// if ( dDist < dMinDist) {
// nClosestLine = c ;
// dMinDist = dDist ;
// }
// plApprox.GetNextPoint( pt) ;
// ++ c ;
// }
// Point3d ptInt1, ptInt2 ;
// if ( nClosestLine < nTot - 1 && nClosestLine > 0) {
// // tra i due tratti dell'approssimazione che arrivano al punto selezionato come più vicino, devo trovare quale si avvicina di più
// Point3d ptStart ; plApprox.GetFirstPoint( ptStart) ;
// Point3d ptEnd ;
// for ( int z = 1 ; z < nClosestLine - 1 ; ++z)
// plApprox.GetNextPoint( ptStart) ;
// plApprox.GetNextPoint( ptEnd) ;
// // linea precedente al punto
// Vector3d vtLinePre = ptEnd - ptStart ;
// double dLenPre = vtLinePre.Len() ;
// DistLineLine dllPre( ptStart, vtLinePre, dLenPre, ptL, vtL,dLen) ;
// double dDistPre = INFINITO ;
// dllPre.GetDist( dDistPre) ;
// // linea che inzia con quel punto
// ptStart = ptEnd ;
// plApprox.GetNextPoint( ptEnd) ;
// Vector3d vtLineCurr = ptEnd - ptStart ;
// double dLenCurr = vtLineCurr.Len() ;
// DistLineLine dllCurr( ptStart, vtLineCurr, dLenCurr, ptL, vtL,dLen) ;
// double dDistCurr = INFINITO ;
// dllCurr.GetDist( dDistCurr) ;
// if ( dDistPre < dDistCurr)
// dllPre.GetMinDistPoints( ptInt1, ptInt2) ;
// else
// dllCurr.GetMinDistPoints( ptInt1, ptInt2) ;
// }
// else if ( nClosestLine == 0) {
// // il punto più vicino è sulla prima linea
// Point3d ptStart ; plApprox.GetFirstPoint( ptStart) ;
// Point3d ptEnd ; plApprox.GetNextPoint( ptEnd) ;
// Vector3d vtLineCurr = ptEnd - ptStart ;
// double dLenCurr = vtLineCurr.Len() ;
// DistLineLine dllCurr( ptStart, vtLineCurr, dLenCurr, ptL, vtL,dLen) ;
// dllCurr.GetMinDistPoints( ptInt1, ptInt2) ;
// }
// else if ( nClosestLine == nTot- 1) {
// // il punto più vicino è sull'ultima linea
// Point3d ptStart ; plApprox.GetFirstPoint( ptStart) ;
// Point3d ptEnd ;
// for ( int z = 1 ; z < nClosestLine - 1 ; ++z)
// plApprox.GetNextPoint( ptStart) ;
// plApprox.GetNextPoint( ptEnd) ;
// Vector3d vtLinePre = ptEnd - ptStart ;
// double dLenPre = vtLinePre.Len() ;
// DistLineLine dllCurr( ptStart, vtLinePre, dLenPre, ptL, vtL,dLen) ;
// dllCurr.GetMinDistPoints( ptInt1, ptInt2) ;
// }
//
// double dU1 = 0, dV1 = 0, dU2 = 0, dV2 = 0 ;
// // se ho trovato due punti vuol dire che la linea coincide con un edge e ho trovato tutto quello che serve
// if ( ! AreSamePointExact( ptInt2, ORIG)) {
// if ( i == 0) {
// //dV1 = 0 ; dV2 = 0 ;
// vCrvEdge[0]->GetParamAtPoint( ptInt1, dU1) ;
// vCrvEdge[0]->GetParamAtPoint( ptInt2, dU2) ;
// }
// else if ( i == 1) {
// //dU1 = 1 ; dU2 = 1 ;
// vCrvEdge[1]->GetParamAtPoint( ptInt1, dV1) ;
// vCrvEdge[1]->GetParamAtPoint( ptInt2, dV2) ;
// }
// else if ( i == 2){
// //dV1 = 1 ; dV2 = 1 ;
// vCrvEdge[2]->GetParamAtPoint( ptInt1, dU1) ;
// vCrvEdge[2]->GetParamAtPoint( ptInt2, dU2) ;
// }
// else if ( i == 3){
// //dU1 = 0 ; dU2 = 0 ;
// vCrvEdge[3]->GetParamAtPoint( ptInt1, dV1) ;
// vCrvEdge[3]->GetParamAtPoint( ptInt2, dV2) ;
// }
// Point3d ptIBez1, ptIBez2 ;
// Vector3d vtN1, vtN2 ;
// pSurfBz->GetPointNrmD1D2(dU1, dV1, ISurfBezier::Side::FROM_MINUS, ISurfBezier::Side::FROM_MINUS, ptIBez1, vtN1) ;
// pSurfBz->GetPointNrmD1D2(dU2, dV2, ISurfBezier::Side::FROM_MINUS, ISurfBezier::Side::FROM_MINUS, ptIBez2, vtN2) ;
// Point3d ptSP1( dU1, dV1, 0) ;
// double dCos1 = vtN1 * vtL ;
// Point3d ptSP2( dU2, dV2, 0) ;
// double dCos2 = vtN2 * vtL ;
// // se avevo già trovato un punto singolo che coincide col primo punto di questa intersezione sovrapposta, allora cancello l'intersezione singola che
// // avevo salvato e aggiungo quella sovrapposto che ho trovato ora
// if ( bFound) {
// int nNewTot = int(vInfo.size()) ;
// int nNewInters = nNewTot - nInters ;
// bool bAlreadyFound = false ;
// for ( int i = 0 ; i < nNewInters ; ++i) {
// bAlreadyFound = AreSamePointApprox(vInfo[nNewTot - i].ptUV, ptSP1) || AreSamePointApprox(vInfo[nNewTot - i].ptUV, ptSP2) ;
// if ( bAlreadyFound) {
// vInfo.erase( vInfo.begin() + nNewTot - i) ;
// break ;
// }
// }
// }
// UpdateInfoIntersLineSurfBz( ptL, vtL, ILTA_NO_TRIA, -1, ptSP1, ptIBez1, dCos1, ptSP2, ptIBez2, dCos2, vInfo) ;
// bFound = true ;
// break ;
// }
// // se ho trovato un punto a distanza zero dalla linea allora ho trovato l'intersezione
// else if ( dMinDist < EPS_SMALL) {
// if ( i == 0) {
// //dV1 = 0 ;
// vCrvEdge[0]->GetParamAtPoint( ptInt1, dU1) ;
// }
// else if ( i == 1) {
// //dU1 = 1 ;
// vCrvEdge[1]->GetParamAtPoint( ptInt1, dV1) ;
// }
// else if ( i == 2) {
// //dV1 = 1 ;
// vCrvEdge[2]->GetParamAtPoint( ptInt1, dU1) ;
// }
// else if ( i == 3) {
// //dU1 = 0 ;
// vCrvEdge[3]->GetParamAtPoint( ptInt1, dV1) ;
// }
// Point3d ptSP1( dU1, dV1, 0), ptSP2 ;
// // se avevo trovato già altri punti controllo di non essere esattamente su una diagonale ( e quindi avere un'intersezione con ogni edge, ma due sono doppie)
// if ( bFound) {
// int nNewTot = int(vInfo.size()) ;
// int nNewInters = nNewTot - nInters ;
// bool bAlreadyFound = false ;
// for ( int i = 0 ; i < nNewInters ; ++i)
// bAlreadyFound = AreSamePointApprox(vInfo[nNewTot - i].ptUV, ptSP1) ;
// if ( bAlreadyFound)
// continue ;
// }
// Point3d ptIBez1, ptIBez2 ;
// Vector3d vtN1, vtN2 ;
// pSurfBz->GetPointNrmD1D2(dU1, dV1, ISurfBezier::Side::FROM_MINUS, ISurfBezier::Side::FROM_MINUS, ptIBez1, vtN1) ;
// double dCos1 = vtN1 * vtL, dCos2 = 0 ;
// UpdateInfoIntersLineSurfBz( ptL, vtL, ILTA_NO_TRIA, -1, ptSP1, ptIBez1, dCos1, ptSP2, ptIBez2, dCos2, vInfo) ;
// bFound = true ;
// }
// }
//}
// se la superficie è trimmed verifico che i punti trovati siano all'interno del parametrico trimmato
if ( bTrimmed && bFound) {
int nNewTot = int(vInfo.size()) ;
int nNewInters = nNewTot - nInters ;
const ISurfFlatRegion* pFRTrim = pSurfBz->GetTrimRegion() ;
for ( int i = 0 ; i < nNewInters ; ++i) {
Point3d ptTest = vInfo[nNewTot - i].ptUV * SBZ_TREG_COEFF ;
bool bInside = false ;
double dDist = INFINITO ;
IsPointInsideSurfFr( ptTest, pFRTrim, dDist, bInside) ;
if ( ! bInside)
vInfo.erase( vInfo.begin() + nNewTot - i) ;
}
}
return true ;
}
//----------------------------------------------------------------------------
// Intersezione di una linea con una superficie di Bezier bilineare monopatch
//----------------------------------------------------------------------------
bool
IntersLineSurfBzBilinear( const Point3d& ptL, const Vector3d& vtL, double dLen, const ISurfBezier* pSurfBz,