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Diffstat (limited to 'intern/elbeem/intern/mvmcoords.cpp')
-rw-r--r--intern/elbeem/intern/mvmcoords.cpp193
1 files changed, 193 insertions, 0 deletions
diff --git a/intern/elbeem/intern/mvmcoords.cpp b/intern/elbeem/intern/mvmcoords.cpp
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+/******************************************************************************
+ *
+// El'Beem - the visual lattice boltzmann freesurface simulator
+// All code distributed as part of El'Beem is covered by the version 2 of the
+// GNU General Public License. See the file COPYING for details.
+//
+// Copyright 2008 Nils Thuerey , Richard Keiser, Mark Pauly, Ulrich Ruede
+//
+ *
+ * Mean Value Mesh Coords class
+ *
+ *****************************************************************************/
+
+#include "mvmcoords.h"
+#include <algorithm>
+using std::vector;
+
+void MeanValueMeshCoords::clear()
+{
+ mVertices.resize(0);
+ mNumVerts = 0;
+}
+
+void MeanValueMeshCoords::calculateMVMCs(vector<ntlVec3Gfx> &reference_vertices, vector<ntlTriangle> &tris,
+ vector<ntlVec3Gfx> &points, gfxReal numweights)
+{
+ clear();
+ mvmTransferPoint tds;
+ int mem = 0;
+ int i = 0;
+
+ mNumVerts = (int)reference_vertices.size();
+
+ for (vector<ntlVec3Gfx>::iterator iter = points.begin(); iter != points.end(); ++iter, ++i) {
+ /*
+ if(i%(points.size()/10)==1) debMsgStd("MeanValueMeshCoords::calculateMVMCs",DM_MSG,"Computing weights, points: "<<i<<"/"<<points.size(),5 );
+ */
+ tds.lastpos = *iter;
+ tds.weights.resize(0); // clear
+ computeWeights(reference_vertices, tris, tds, numweights);
+ mem += (int)tds.weights.size();
+ mVertices.push_back(tds);
+ }
+ int mbmem = mem * sizeof(mvmFloat) / (1024*1024);
+ debMsgStd("MeanValueMeshCoords::calculateMVMCs",DM_MSG,"vertices:"<<mNumVerts<<" points:"<<points.size()<<" weights:"<<mem<<", wmem:"<<mbmem<<"MB ",7 );
+}
+
+// from: mean value coordinates for closed triangular meshes
+// attention: fails if a point is exactly (or very close) to a vertex
+void MeanValueMeshCoords::computeWeights(vector<ntlVec3Gfx> &reference_vertices, vector<ntlTriangle>& tris,
+ mvmTransferPoint& tds, gfxReal numweights)
+{
+ const bool mvmFullDebug=false;
+ //const ntlVec3Gfx cEPS = 1.0e-6;
+ const mvmFloat cEPS = 1.0e-14;
+
+ //mvmFloat d[3], s[3], phi[3],c[3];
+ ntlVec3d u[3],c,d,s,phi;
+ int indices[3];
+
+ for (int i = 0; i < (int)reference_vertices.size(); ++i) {
+ tds.weights.push_back(mvmIndexWeight(i, 0.0));
+ }
+
+ // for each triangle
+ //for (vector<ntlTriangle>::iterator iter = tris.begin(); iter != tris.end();) {
+ for(int t=0; t<(int)tris.size(); t++) {
+
+ for (int i = 0; i < 3; ++i) { //, ++iter) {
+ indices[i] = tris[t].getPoints()[i];
+ u[i] = vec2D(reference_vertices[ indices[i] ]-tds.lastpos);
+ d[i] = normalize(u[i]); //.normalize();
+ //assert(d[i] != 0.);
+ if(mvmFullDebug) errMsg("MeanValueMeshCoords::computeWeights","t"<<t<<" i"<<indices[i] //<<" lp"<<tds.lastpos
+ <<" v"<<reference_vertices[indices[i]]<<" u"<<u[i]<<" ");
+ // on vertex!
+ //? if(d[i]<=0.) continue;
+ }
+ //for (int i = 0; i < 3; ++i) { errMsg("III"," "<<i <<" i"<<indices[i]<<reference_vertices[ indices[i] ] ); }
+
+ // arcsin is not needed, see paper
+ phi[0] = 2.*asin( (mvmFloat)(0.5* norm(u[1]-u[2]) ) );
+ phi[1] = 2.*asin( (mvmFloat)(0.5* norm(u[0]-u[2]) ) );
+ phi[2] = 2.*asin( (mvmFloat)(0.5* norm(u[0]-u[1]) ) );
+ mvmFloat h = (phi[0] + phi[1] + phi[2])*0.5;
+ if (M_PI-h < cEPS) {
+ if(mvmFullDebug) errMsg("MeanValueMeshCoords::computeWeights","point on triangle");
+ tds.weights.resize(0);
+ tds.weights.push_back( mvmIndexWeight(indices[0], sin(phi[0])*d[1]*d[2]));
+ tds.weights.push_back( mvmIndexWeight(indices[1], sin(phi[1])*d[0]*d[2]));
+ tds.weights.push_back( mvmIndexWeight(indices[2], sin(phi[2])*d[1]*d[0]));
+ break;
+ }
+ mvmFloat sinh = 2.*sin(h);
+ c[0] = (sinh*sin(h-phi[0]))/(sin(phi[1])*sin(phi[2]))-1.;
+ c[1] = (sinh*sin(h-phi[1]))/(sin(phi[0])*sin(phi[2]))-1.;
+ c[2] = (sinh*sin(h-phi[2]))/(sin(phi[0])*sin(phi[1]))-1.;
+ if(mvmFullDebug) errMsg("MeanValueMeshCoords::computeWeights","c="<<c<<" phi="<<phi<<" d="<<d);
+ //if (c[0] > 1. || c[0] < 0. || c[1] > 1. || c[1] < 0. || c[2] > 1. || c[2] < 0.) continue;
+
+ s[0] = sqrtf((float)(1.-c[0]*c[0]));
+ s[1] = sqrtf((float)(1.-c[1]*c[1]));
+ s[2] = sqrtf((float)(1.-c[2]*c[2]));
+
+ if(mvmFullDebug) errMsg("MeanValueMeshCoords::computeWeights","s");
+ if (s[0] <= cEPS || s[1] <= cEPS || s[2] <= cEPS) {
+ //MSG("position lies outside the triangle on the same plane -> ignore it");
+ continue;
+ }
+ const mvmFloat u0x = u[0][0];
+ const mvmFloat u0y = u[0][1];
+ const mvmFloat u0z = u[0][2];
+ const mvmFloat u1x = u[1][0];
+ const mvmFloat u1y = u[1][1];
+ const mvmFloat u1z = u[1][2];
+ const mvmFloat u2x = u[2][0];
+ const mvmFloat u2y = u[2][1];
+ const mvmFloat u2z = u[2][2];
+ mvmFloat det = u0x*u1y*u2z - u0x*u1z*u2y + u0y*u1z*u2x - u0y*u1x*u2z + u0z*u1x*u2y - u0z*u1y*u2x;
+ //assert(det != 0.);
+ if (det < 0.) {
+ s[0] = -s[0];
+ s[1] = -s[1];
+ s[2] = -s[2];
+ }
+
+ tds.weights[indices[0]].weight += (phi[0]-c[1]*phi[2]-c[2]*phi[1])/(d[0]*sin(phi[1])*s[2]);
+ tds.weights[indices[1]].weight += (phi[1]-c[2]*phi[0]-c[0]*phi[2])/(d[1]*sin(phi[2])*s[0]);
+ tds.weights[indices[2]].weight += (phi[2]-c[0]*phi[1]-c[1]*phi[0])/(d[2]*sin(phi[0])*s[1]);
+ if(mvmFullDebug) { errMsg("MeanValueMeshCoords::computeWeights","i"<<indices[0]<<" o"<<tds.weights[indices[0]].weight);
+ errMsg("MeanValueMeshCoords::computeWeights","i"<<indices[1]<<" o"<<tds.weights[indices[1]].weight);
+ errMsg("MeanValueMeshCoords::computeWeights","i"<<indices[2]<<" o"<<tds.weights[indices[2]].weight);
+ errMsg("MeanValueMeshCoords::computeWeights","\n\n\n"); }
+ }
+
+ //sort weights
+ if((numweights>0.)&& (numweights<1.) ) {
+ //if( ((int)tds.weights.size() > maxNumWeights) && (maxNumWeights > 0) ) {
+ int maxNumWeights = (int)(tds.weights.size()*numweights);
+ if(maxNumWeights<=0) maxNumWeights = 1;
+ std::sort(tds.weights.begin(), tds.weights.end(), std::greater<mvmIndexWeight>());
+ // only use maxNumWeights-th largest weights
+ tds.weights.resize(maxNumWeights);
+ }
+
+ // normalize weights
+ mvmFloat totalWeight = 0.;
+ for (vector<mvmIndexWeight>::const_iterator witer = tds.weights.begin();
+ witer != tds.weights.end(); ++witer) {
+ totalWeight += witer->weight;
+ }
+ mvmFloat invTotalWeight;
+ if (totalWeight == 0.) {
+ if(mvmFullDebug) errMsg("MeanValueMeshCoords::computeWeights","totalWeight == 0");
+ invTotalWeight = 0.0;
+ } else {
+ invTotalWeight = 1.0/totalWeight;
+ }
+
+ for (vector<mvmIndexWeight>::iterator viter = tds.weights.begin();
+ viter != tds.weights.end(); ++viter) {
+ viter->weight *= invTotalWeight;
+ //assert(finite(viter->weight) != 0);
+ if(!finite(viter->weight)) viter->weight=0.;
+ }
+}
+
+void MeanValueMeshCoords::transfer(vector<ntlVec3Gfx> &vertices, vector<ntlVec3Gfx>& displacements)
+{
+ displacements.resize(0);
+
+ //debMsgStd("MeanValueMeshCoords::transfer",DM_MSG,"vertices:"<<mNumVerts<<" curr_verts:"<<vertices.size()<<" ",7 );
+ if((int)vertices.size() != mNumVerts) {
+ errMsg("MeanValueMeshCoords::transfer","Different no of verts: "<<vertices.size()<<" vs "<<mNumVerts);
+ return;
+ }
+
+ for (vector<mvmTransferPoint>::iterator titer = mVertices.begin(); titer != mVertices.end(); ++titer) {
+ mvmTransferPoint &tds = *titer;
+ ntlVec3Gfx newpos(0.0);
+
+ for (vector<mvmIndexWeight>::iterator witer = tds.weights.begin();
+ witer != tds.weights.end(); ++witer) {
+ newpos += vertices[witer->index] * witer->weight;
+ //errMsg("transfer","np"<<newpos<<" v"<<vertices[witer->index]<<" w"<< witer->weight);
+ }
+
+ displacements.push_back(newpos);
+ //displacements.push_back(newpos - tds.lastpos);
+ //tds.lastpos = newpos;
+ }
+}
+