forked from bartvdbraak/blender
1134 lines
37 KiB
C++
1134 lines
37 KiB
C++
/** \file elbeem/intern/isosurface.cpp
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* \ingroup elbeem
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*/
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/******************************************************************************
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*
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* El'Beem - Free Surface Fluid Simulation with the Lattice Boltzmann Method
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* Copyright 2003-2006 Nils Thuerey
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*
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* Marching Cubes surface mesh generation
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*
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*****************************************************************************/
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#include "isosurface.h"
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#include "mcubes_tables.h"
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#include "particletracer.h"
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#include <algorithm>
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#include <stdio.h>
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#ifdef sun
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#include "ieeefp.h"
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#endif
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// just use default rounding for platforms where its not available
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#ifndef round
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#define round(x) (x)
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#endif
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/******************************************************************************
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* Constructor
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*****************************************************************************/
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IsoSurface::IsoSurface(double iso) :
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ntlGeometryObject(),
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mSizex(-1), mSizey(-1), mSizez(-1),
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mpData(NULL),
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mIsoValue( iso ),
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mPoints(),
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mUseFullEdgeArrays(false),
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mpEdgeVerticesX(NULL), mpEdgeVerticesY(NULL), mpEdgeVerticesZ(NULL),
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mEdgeArSize(-1),
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mIndices(),
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mStart(0.0), mEnd(0.0), mDomainExtent(0.0),
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mInitDone(false),
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mSmoothSurface(0.0), mSmoothNormals(0.0),
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mAcrossEdge(), mAdjacentFaces(),
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mCutoff(-1), mCutArray(NULL), // off by default
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mpIsoParts(NULL), mPartSize(0.), mSubdivs(0),
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mFlagCnt(1),
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mSCrad1(0.), mSCrad2(0.), mSCcenter(0.)
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{
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}
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/******************************************************************************
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* The real init...
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*****************************************************************************/
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void IsoSurface::initializeIsosurface(int setx, int sety, int setz, ntlVec3Gfx extent)
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{
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// range 1-10 (max due to subd array in triangulate)
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if(mSubdivs<1) mSubdivs=1;
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if(mSubdivs>10) mSubdivs=10;
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// init solver and size
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mSizex = setx;
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mSizey = sety;
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if(setz == 1) {// 2D, create thin 2D surface
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setz = 5;
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}
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mSizez = setz;
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mDomainExtent = extent;
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/* check triangulation size (for raytraing) */
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if( ( mStart[0] >= mEnd[0] ) && ( mStart[1] >= mEnd[1] ) && ( mStart[2] >= mEnd[2] ) ){
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// extent was not set, use normalized one from parametrizer
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mStart = ntlVec3Gfx(0.0) - extent*0.5;
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mEnd = ntlVec3Gfx(0.0) + extent*0.5;
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}
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// init
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mIndices.clear();
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mPoints.clear();
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int nodes = mSizez*mSizey*mSizex;
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mpData = new float[nodes];
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for(int i=0;i<nodes;i++) { mpData[i] = 0.0; }
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// allocate edge arrays (last slices are never used...)
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int initsize = -1;
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if(mUseFullEdgeArrays) {
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mEdgeArSize = nodes;
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mpEdgeVerticesX = new int[nodes];
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mpEdgeVerticesY = new int[nodes];
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mpEdgeVerticesZ = new int[nodes];
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initsize = 3*nodes;
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} else {
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int sliceNodes = 2*mSizex*mSizey*mSubdivs*mSubdivs;
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mEdgeArSize = sliceNodes;
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mpEdgeVerticesX = new int[sliceNodes];
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mpEdgeVerticesY = new int[sliceNodes];
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mpEdgeVerticesZ = new int[sliceNodes];
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initsize = 3*sliceNodes;
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}
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for(int i=0;i<mEdgeArSize;i++) { mpEdgeVerticesX[i] = mpEdgeVerticesY[i] = mpEdgeVerticesZ[i] = -1; }
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// WARNING - make sure this is consistent with calculateMemreqEstimate
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// marching cubes are ready
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mInitDone = true;
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debMsgStd("IsoSurface::initializeIsosurface",DM_MSG,"Inited, edgenodes:"<<initsize<<" subdivs:"<<mSubdivs<<" fulledg:"<<mUseFullEdgeArrays , 10);
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}
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/*! Reset all values */
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void IsoSurface::resetAll(gfxReal val) {
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int nodes = mSizez*mSizey*mSizex;
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for(int i=0;i<nodes;i++) { mpData[i] = val; }
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}
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/******************************************************************************
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* Destructor
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*****************************************************************************/
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IsoSurface::~IsoSurface( void )
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{
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if(mpData) delete [] mpData;
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if(mpEdgeVerticesX) delete [] mpEdgeVerticesX;
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if(mpEdgeVerticesY) delete [] mpEdgeVerticesY;
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if(mpEdgeVerticesZ) delete [] mpEdgeVerticesZ;
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}
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/******************************************************************************
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* triangulate the scalar field given by pointer
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*****************************************************************************/
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void IsoSurface::triangulate( void )
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{
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double gsx,gsy,gsz; // grid spacing in x,y,z direction
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double px,py,pz; // current position in grid in x,y,z direction
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IsoLevelCube cubie; // struct for a small subcube
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myTime_t tritimestart = getTime();
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if(!mpData) {
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errFatal("IsoSurface::triangulate","no LBM object, and no scalar field...!",SIMWORLD_INITERROR);
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return;
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}
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// get grid spacing (-2 to have same spacing as sim)
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gsx = (mEnd[0]-mStart[0])/(double)(mSizex-2.0);
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gsy = (mEnd[1]-mStart[1])/(double)(mSizey-2.0);
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gsz = (mEnd[2]-mStart[2])/(double)(mSizez-2.0);
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// clean up previous frame
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mIndices.clear();
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mPoints.clear();
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// reset edge vertices
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for(int i=0;i<mEdgeArSize;i++) {
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mpEdgeVerticesX[i] = -1;
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mpEdgeVerticesY[i] = -1;
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mpEdgeVerticesZ[i] = -1;
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}
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ntlVec3Gfx pos[8];
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float value[8];
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int cubeIndex; // index entry of the cube
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int triIndices[12]; // vertex indices
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int *eVert[12];
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IsoLevelVertex ilv;
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// edges between which points?
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const int mcEdges[24] = {
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0,1, 1,2, 2,3, 3,0,
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4,5, 5,6, 6,7, 7,4,
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0,4, 1,5, 2,6, 3,7 };
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const int cubieOffsetX[8] = {
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0,1,1,0, 0,1,1,0 };
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const int cubieOffsetY[8] = {
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0,0,1,1, 0,0,1,1 };
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const int cubieOffsetZ[8] = {
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0,0,0,0, 1,1,1,1 };
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const int coAdd=2;
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// let the cubes march
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if(mSubdivs<=1) {
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pz = mStart[2]-gsz*0.5;
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for(int k=1;k<(mSizez-2);k++) {
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pz += gsz;
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py = mStart[1]-gsy*0.5;
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for(int j=1;j<(mSizey-2);j++) {
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py += gsy;
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px = mStart[0]-gsx*0.5;
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for(int i=1;i<(mSizex-2);i++) {
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px += gsx;
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value[0] = *getData(i ,j ,k );
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value[1] = *getData(i+1,j ,k );
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value[2] = *getData(i+1,j+1,k );
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value[3] = *getData(i ,j+1,k );
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value[4] = *getData(i ,j ,k+1);
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value[5] = *getData(i+1,j ,k+1);
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value[6] = *getData(i+1,j+1,k+1);
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value[7] = *getData(i ,j+1,k+1);
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// check intersections of isosurface with edges, and calculate cubie index
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cubeIndex = 0;
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if (value[0] < mIsoValue) cubeIndex |= 1;
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if (value[1] < mIsoValue) cubeIndex |= 2;
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if (value[2] < mIsoValue) cubeIndex |= 4;
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if (value[3] < mIsoValue) cubeIndex |= 8;
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if (value[4] < mIsoValue) cubeIndex |= 16;
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if (value[5] < mIsoValue) cubeIndex |= 32;
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if (value[6] < mIsoValue) cubeIndex |= 64;
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if (value[7] < mIsoValue) cubeIndex |= 128;
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// No triangles to generate?
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if (mcEdgeTable[cubeIndex] == 0) {
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continue;
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}
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// where to look up if this point already exists
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int edgek = 0;
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if(mUseFullEdgeArrays) edgek=k;
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const int baseIn = ISOLEVEL_INDEX( i+0, j+0, edgek+0);
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eVert[ 0] = &mpEdgeVerticesX[ baseIn ];
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eVert[ 1] = &mpEdgeVerticesY[ baseIn + 1 ];
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eVert[ 2] = &mpEdgeVerticesX[ ISOLEVEL_INDEX( i+0, j+1, edgek+0) ];
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eVert[ 3] = &mpEdgeVerticesY[ baseIn ];
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eVert[ 4] = &mpEdgeVerticesX[ ISOLEVEL_INDEX( i+0, j+0, edgek+1) ];
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eVert[ 5] = &mpEdgeVerticesY[ ISOLEVEL_INDEX( i+1, j+0, edgek+1) ];
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eVert[ 6] = &mpEdgeVerticesX[ ISOLEVEL_INDEX( i+0, j+1, edgek+1) ];
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eVert[ 7] = &mpEdgeVerticesY[ ISOLEVEL_INDEX( i+0, j+0, edgek+1) ];
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eVert[ 8] = &mpEdgeVerticesZ[ baseIn ];
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eVert[ 9] = &mpEdgeVerticesZ[ ISOLEVEL_INDEX( i+1, j+0, edgek+0) ];
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eVert[10] = &mpEdgeVerticesZ[ ISOLEVEL_INDEX( i+1, j+1, edgek+0) ];
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eVert[11] = &mpEdgeVerticesZ[ ISOLEVEL_INDEX( i+0, j+1, edgek+0) ];
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// grid positions
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pos[0] = ntlVec3Gfx(px ,py ,pz);
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pos[1] = ntlVec3Gfx(px+gsx,py ,pz);
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pos[2] = ntlVec3Gfx(px+gsx,py+gsy,pz);
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pos[3] = ntlVec3Gfx(px ,py+gsy,pz);
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pos[4] = ntlVec3Gfx(px ,py ,pz+gsz);
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pos[5] = ntlVec3Gfx(px+gsx,py ,pz+gsz);
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pos[6] = ntlVec3Gfx(px+gsx,py+gsy,pz+gsz);
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pos[7] = ntlVec3Gfx(px ,py+gsy,pz+gsz);
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// check all edges
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for(int e=0;e<12;e++) {
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if (mcEdgeTable[cubeIndex] & (1<<e)) {
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// is the vertex already calculated?
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if(*eVert[ e ] < 0) {
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// interpolate edge
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const int e1 = mcEdges[e*2 ];
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const int e2 = mcEdges[e*2+1];
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const ntlVec3Gfx p1 = pos[ e1 ]; // scalar field pos 1
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const ntlVec3Gfx p2 = pos[ e2 ]; // scalar field pos 2
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const float valp1 = value[ e1 ]; // scalar field val 1
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const float valp2 = value[ e2 ]; // scalar field val 2
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const float mu = (mIsoValue - valp1) / (valp2 - valp1);
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// init isolevel vertex
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ilv.v = p1 + (p2-p1)*mu;
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ilv.n = getNormal( i+cubieOffsetX[e1], j+cubieOffsetY[e1], k+cubieOffsetZ[e1]) * (1.0-mu) +
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getNormal( i+cubieOffsetX[e2], j+cubieOffsetY[e2], k+cubieOffsetZ[e2]) * ( mu) ;
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mPoints.push_back( ilv );
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triIndices[e] = (mPoints.size()-1);
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// store vertex
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*eVert[ e ] = triIndices[e];
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} else {
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// retrieve from vert array
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triIndices[e] = *eVert[ e ];
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}
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} // along all edges
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}
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if( (i<coAdd+mCutoff) || (j<coAdd+mCutoff) ||
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((mCutoff>0) && (k<coAdd)) ||// bottom layer
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(i>mSizex-2-coAdd-mCutoff) ||
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(j>mSizey-2-coAdd-mCutoff) ) {
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if(mCutArray) {
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if(k < mCutArray[j*this->mSizex+i]) continue;
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} else { continue; }
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}
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// Create the triangles...
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for(int e=0; mcTriTable[cubeIndex][e]!=-1; e+=3) {
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mIndices.push_back( triIndices[ mcTriTable[cubeIndex][e+0] ] );
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mIndices.push_back( triIndices[ mcTriTable[cubeIndex][e+1] ] );
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mIndices.push_back( triIndices[ mcTriTable[cubeIndex][e+2] ] );
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}
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}//i
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}// j
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// copy edge arrays
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if(!mUseFullEdgeArrays) {
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for(int j=0;j<(mSizey-0);j++)
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for(int i=0;i<(mSizex-0);i++) {
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//int edgek = 0;
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const int dst = ISOLEVEL_INDEX( i+0, j+0, 0);
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const int src = ISOLEVEL_INDEX( i+0, j+0, 1);
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mpEdgeVerticesX[ dst ] = mpEdgeVerticesX[ src ];
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mpEdgeVerticesY[ dst ] = mpEdgeVerticesY[ src ];
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mpEdgeVerticesZ[ dst ] = mpEdgeVerticesZ[ src ];
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mpEdgeVerticesX[ src ]=-1;
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mpEdgeVerticesY[ src ]=-1;
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mpEdgeVerticesZ[ src ]=-1;
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}
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} // */
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} // k
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// precalculate normals using an approximation of the scalar field gradient
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for(int ni=0;ni<(int)mPoints.size();ni++) { normalize( mPoints[ni].n ); }
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} else { // subdivs
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#define EDGEAR_INDEX(Ai,Aj,Ak, Bi,Bj) ((mSizex*mSizey*mSubdivs*mSubdivs*(Ak))+\
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(mSizex*mSubdivs*((Aj)*mSubdivs+(Bj)))+((Ai)*mSubdivs)+(Bi))
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#define ISOTRILININT(fi,fj,fk) ( \
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(1.-(fi))*(1.-(fj))*(1.-(fk))*orgval[0] + \
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( (fi))*(1.-(fj))*(1.-(fk))*orgval[1] + \
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( (fi))*( (fj))*(1.-(fk))*orgval[2] + \
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(1.-(fi))*( (fj))*(1.-(fk))*orgval[3] + \
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(1.-(fi))*(1.-(fj))*( (fk))*orgval[4] + \
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( (fi))*(1.-(fj))*( (fk))*orgval[5] + \
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( (fi))*( (fj))*( (fk))*orgval[6] + \
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(1.-(fi))*( (fj))*( (fk))*orgval[7] )
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// use subdivisions
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gfxReal subdfac = 1./(gfxReal)(mSubdivs);
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gfxReal orgGsx = gsx;
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gfxReal orgGsy = gsy;
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gfxReal orgGsz = gsz;
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gsx *= subdfac;
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gsy *= subdfac;
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gsz *= subdfac;
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if(mUseFullEdgeArrays) {
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errMsg("IsoSurface::triangulate","Disabling mUseFullEdgeArrays!");
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}
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// subdiv local arrays
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gfxReal orgval[8];
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gfxReal subdAr[2][11][11]; // max 10 subdivs!
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ParticleObject* *arppnt = new ParticleObject*[mSizez*mSizey*mSizex];
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// construct pointers
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// part test
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int pInUse = 0;
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int pUsedTest = 0;
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// reset particles
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// reset list array
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for(int k=0;k<(mSizez);k++)
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for(int j=0;j<(mSizey);j++)
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for(int i=0;i<(mSizex);i++) {
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arppnt[ISOLEVEL_INDEX(i,j,k)] = NULL;
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}
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if(mpIsoParts) {
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for(vector<ParticleObject>::iterator pit= mpIsoParts->getParticlesBegin();
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pit!= mpIsoParts->getParticlesEnd(); pit++) {
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if( (*pit).getActive()==false ) continue;
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if( (*pit).getType()!=PART_DROP) continue;
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(*pit).setNext(NULL);
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}
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// build per node lists
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for(vector<ParticleObject>::iterator pit= mpIsoParts->getParticlesBegin();
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pit!= mpIsoParts->getParticlesEnd(); pit++) {
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if( (*pit).getActive()==false ) continue;
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if( (*pit).getType()!=PART_DROP) continue;
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// check lifetime ignored here
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ParticleObject *p = &(*pit);
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const ntlVec3Gfx ppos = p->getPos();
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const int pi= (int)round(ppos[0])+0;
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const int pj= (int)round(ppos[1])+0;
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int pk= (int)round(ppos[2])+0;// no offset necessary
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// 2d should be handled by solver. if(LBMDIM==2) { pk = 0; }
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if(pi<0) continue;
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if(pj<0) continue;
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if(pk<0) continue;
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if(pi>mSizex-1) continue;
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if(pj>mSizey-1) continue;
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if(pk>mSizez-1) continue;
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ParticleObject* &pnt = arppnt[ISOLEVEL_INDEX(pi,pj,pk)];
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if(pnt) {
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// append
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ParticleObject* listpnt = pnt;
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while(listpnt) {
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if(!listpnt->getNext()) {
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listpnt->setNext(p); listpnt = NULL;
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} else {
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listpnt = listpnt->getNext();
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}
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}
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} else {
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// start new list
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pnt = p;
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}
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pInUse++;
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}
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} // mpIsoParts
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debMsgStd("IsoSurface::triangulate",DM_MSG,"Starting. Parts in use:"<<pInUse<<", Subdivs:"<<mSubdivs, 9);
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pz = mStart[2]-(double)(0.*gsz)-0.5*orgGsz;
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for(int ok=1;ok<(mSizez-2)*mSubdivs;ok++) {
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pz += gsz;
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const int k = ok/mSubdivs;
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if(k<=0) continue; // skip zero plane
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for(int j=1;j<(mSizey-2);j++) {
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for(int i=1;i<(mSizex-2);i++) {
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orgval[0] = *getData(i ,j ,k );
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orgval[1] = *getData(i+1,j ,k );
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orgval[2] = *getData(i+1,j+1,k ); // with subdivs
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orgval[3] = *getData(i ,j+1,k );
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orgval[4] = *getData(i ,j ,k+1);
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orgval[5] = *getData(i+1,j ,k+1);
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orgval[6] = *getData(i+1,j+1,k+1); // with subdivs
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orgval[7] = *getData(i ,j+1,k+1);
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// prebuild subsampled array slice
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const int sdkOffset = ok-k*mSubdivs;
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for(int sdk=0; sdk<2; sdk++)
|
|
for(int sdj=0; sdj<mSubdivs+1; sdj++)
|
|
for(int sdi=0; sdi<mSubdivs+1; sdi++) {
|
|
subdAr[sdk][sdj][sdi] = ISOTRILININT(sdi*subdfac, sdj*subdfac, (sdkOffset+sdk)*subdfac);
|
|
}
|
|
|
|
const int poDistOffset=2;
|
|
for(int pok=-poDistOffset; pok<1+poDistOffset; pok++) {
|
|
if(k+pok<0) continue;
|
|
if(k+pok>=mSizez-1) continue;
|
|
for(int poj=-poDistOffset; poj<1+poDistOffset; poj++) {
|
|
if(j+poj<0) continue;
|
|
if(j+poj>=mSizey-1) continue;
|
|
for(int poi=-poDistOffset; poi<1+poDistOffset; poi++) {
|
|
if(i+poi<0) continue;
|
|
if(i+poi>=mSizex-1) continue;
|
|
ParticleObject *p;
|
|
p = arppnt[ISOLEVEL_INDEX(i+poi,j+poj,k+pok)];
|
|
while(p) { // */
|
|
/*
|
|
for(vector<ParticleObject>::iterator pit= mpIsoParts->getParticlesBegin();
|
|
pit!= mpIsoParts->getParticlesEnd(); pit++) { { { {
|
|
// debug test! , full list slow!
|
|
if(( (*pit).getActive()==false ) || ( (*pit).getType()!=PART_DROP)) continue;
|
|
ParticleObject *p;
|
|
p = &(*pit); // */
|
|
|
|
pUsedTest++;
|
|
ntlVec3Gfx ppos = p->getPos();
|
|
const int spi= (int)round( (ppos[0]+1.-(gfxReal)i) *(gfxReal)mSubdivs-1.5);
|
|
const int spj= (int)round( (ppos[1]+1.-(gfxReal)j) *(gfxReal)mSubdivs-1.5);
|
|
const int spk= (int)round( (ppos[2]+1.-(gfxReal)k) *(gfxReal)mSubdivs-1.5)-sdkOffset; // why -2?
|
|
// 2d should be handled by solver. if(LBMDIM==2) { spk = 0; }
|
|
|
|
gfxReal pfLen = p->getSize()*1.5*mPartSize; // test, was 1.1
|
|
const gfxReal minPfLen = subdfac*0.8;
|
|
if(pfLen<minPfLen) pfLen = minPfLen;
|
|
//errMsg("ISOPPP"," at "<<PRINT_IJK<<" pp"<<ppos<<" sp"<<PRINT_VEC(spi,spj,spk)<<" pflen"<<pfLen );
|
|
//errMsg("ISOPPP"," subdfac="<<subdfac<<" size"<<p->getSize()<<" ps"<<mPartSize );
|
|
const int icellpsize = (int)(1.*pfLen*(gfxReal)mSubdivs)+1;
|
|
for(int swk=-icellpsize; swk<=icellpsize; swk++) {
|
|
if(spk+swk< 0) { continue; }
|
|
if(spk+swk> 1) { continue; } // */
|
|
for(int swj=-icellpsize; swj<=icellpsize; swj++) {
|
|
if(spj+swj< 0) { continue; }
|
|
if(spj+swj>mSubdivs+0) { continue; } // */
|
|
for(int swi=-icellpsize; swi<=icellpsize; swi++) {
|
|
if(spi+swi< 0) { continue; }
|
|
if(spi+swi>mSubdivs+0) { continue; } // */
|
|
ntlVec3Gfx cellp = ntlVec3Gfx(
|
|
(1.5+(gfxReal)(spi+swi)) *subdfac + (gfxReal)(i-1),
|
|
(1.5+(gfxReal)(spj+swj)) *subdfac + (gfxReal)(j-1),
|
|
(1.5+(gfxReal)(spk+swk)+sdkOffset) *subdfac + (gfxReal)(k-1)
|
|
);
|
|
//if(swi==0 && swj==0 && swk==0) subdAr[spk][spj][spi] = 1.; // DEBUG
|
|
// clip domain boundaries again
|
|
if(cellp[0]<1.) { continue; }
|
|
if(cellp[1]<1.) { continue; }
|
|
if(cellp[2]<1.) { continue; }
|
|
if(cellp[0]>(gfxReal)mSizex-3.) { continue; }
|
|
if(cellp[1]>(gfxReal)mSizey-3.) { continue; }
|
|
if(cellp[2]>(gfxReal)mSizez-3.) { continue; }
|
|
gfxReal len = norm(cellp-ppos);
|
|
gfxReal isoadd = 0.;
|
|
const gfxReal baseIsoVal = mIsoValue*1.1;
|
|
if(len<pfLen) {
|
|
isoadd = baseIsoVal*1.;
|
|
} else {
|
|
// falloff linear with pfLen (kernel size=2pfLen
|
|
isoadd = baseIsoVal*(1. - (len-pfLen)/(pfLen));
|
|
}
|
|
if(isoadd<0.) { continue; }
|
|
//errMsg("ISOPPP"," at "<<PRINT_IJK<<" sp"<<PRINT_VEC(spi+swi,spj+swj,spk+swk)<<" cellp"<<cellp<<" pp"<<ppos << " l"<< len<< " add"<< isoadd);
|
|
const gfxReal arval = subdAr[spk+swk][spj+swj][spi+swi];
|
|
if(arval>1.) { continue; }
|
|
subdAr[spk+swk][spj+swj][spi+swi] = arval + isoadd;
|
|
} } }
|
|
|
|
p = p->getNext();
|
|
}
|
|
} } } // poDist loops */
|
|
|
|
py = mStart[1]+(((double)j-0.5)*orgGsy)-gsy;
|
|
for(int sj=0;sj<mSubdivs;sj++) {
|
|
py += gsy;
|
|
px = mStart[0]+(((double)i-0.5)*orgGsx)-gsx;
|
|
for(int si=0;si<mSubdivs;si++) {
|
|
px += gsx;
|
|
value[0] = subdAr[0+0][sj+0][si+0];
|
|
value[1] = subdAr[0+0][sj+0][si+1];
|
|
value[2] = subdAr[0+0][sj+1][si+1];
|
|
value[3] = subdAr[0+0][sj+1][si+0];
|
|
value[4] = subdAr[0+1][sj+0][si+0];
|
|
value[5] = subdAr[0+1][sj+0][si+1];
|
|
value[6] = subdAr[0+1][sj+1][si+1];
|
|
value[7] = subdAr[0+1][sj+1][si+0];
|
|
|
|
// check intersections of isosurface with edges, and calculate cubie index
|
|
cubeIndex = 0;
|
|
if (value[0] < mIsoValue) cubeIndex |= 1;
|
|
if (value[1] < mIsoValue) cubeIndex |= 2; // with subdivs
|
|
if (value[2] < mIsoValue) cubeIndex |= 4;
|
|
if (value[3] < mIsoValue) cubeIndex |= 8;
|
|
if (value[4] < mIsoValue) cubeIndex |= 16;
|
|
if (value[5] < mIsoValue) cubeIndex |= 32; // with subdivs
|
|
if (value[6] < mIsoValue) cubeIndex |= 64;
|
|
if (value[7] < mIsoValue) cubeIndex |= 128;
|
|
|
|
if (mcEdgeTable[cubeIndex] > 0) {
|
|
|
|
// where to look up if this point already exists
|
|
const int edgek = 0;
|
|
const int baseIn = EDGEAR_INDEX( i+0, j+0, edgek+0, si,sj);
|
|
eVert[ 0] = &mpEdgeVerticesX[ baseIn ];
|
|
eVert[ 1] = &mpEdgeVerticesY[ baseIn + 1 ];
|
|
eVert[ 2] = &mpEdgeVerticesX[ EDGEAR_INDEX( i, j, edgek+0, si+0,sj+1) ];
|
|
eVert[ 3] = &mpEdgeVerticesY[ baseIn ];
|
|
|
|
eVert[ 4] = &mpEdgeVerticesX[ EDGEAR_INDEX( i, j, edgek+1, si+0,sj+0) ];
|
|
eVert[ 5] = &mpEdgeVerticesY[ EDGEAR_INDEX( i, j, edgek+1, si+1,sj+0) ]; // with subdivs
|
|
eVert[ 6] = &mpEdgeVerticesX[ EDGEAR_INDEX( i, j, edgek+1, si+0,sj+1) ];
|
|
eVert[ 7] = &mpEdgeVerticesY[ EDGEAR_INDEX( i, j, edgek+1, si+0,sj+0) ];
|
|
|
|
eVert[ 8] = &mpEdgeVerticesZ[ baseIn ];
|
|
eVert[ 9] = &mpEdgeVerticesZ[ EDGEAR_INDEX( i, j, edgek+0, si+1,sj+0) ]; // with subdivs
|
|
eVert[10] = &mpEdgeVerticesZ[ EDGEAR_INDEX( i, j, edgek+0, si+1,sj+1) ];
|
|
eVert[11] = &mpEdgeVerticesZ[ EDGEAR_INDEX( i, j, edgek+0, si+0,sj+1) ];
|
|
|
|
// grid positions
|
|
pos[0] = ntlVec3Gfx(px ,py ,pz);
|
|
pos[1] = ntlVec3Gfx(px+gsx,py ,pz);
|
|
pos[2] = ntlVec3Gfx(px+gsx,py+gsy,pz); // with subdivs
|
|
pos[3] = ntlVec3Gfx(px ,py+gsy,pz);
|
|
pos[4] = ntlVec3Gfx(px ,py ,pz+gsz);
|
|
pos[5] = ntlVec3Gfx(px+gsx,py ,pz+gsz);
|
|
pos[6] = ntlVec3Gfx(px+gsx,py+gsy,pz+gsz); // with subdivs
|
|
pos[7] = ntlVec3Gfx(px ,py+gsy,pz+gsz);
|
|
|
|
// check all edges
|
|
for(int e=0;e<12;e++) {
|
|
if (mcEdgeTable[cubeIndex] & (1<<e)) {
|
|
// is the vertex already calculated?
|
|
if(*eVert[ e ] < 0) {
|
|
// interpolate edge
|
|
const int e1 = mcEdges[e*2 ];
|
|
const int e2 = mcEdges[e*2+1];
|
|
const ntlVec3Gfx p1 = pos[ e1 ]; // scalar field pos 1
|
|
const ntlVec3Gfx p2 = pos[ e2 ]; // scalar field pos 2
|
|
const float valp1 = value[ e1 ]; // scalar field val 1
|
|
const float valp2 = value[ e2 ]; // scalar field val 2
|
|
const float mu = (mIsoValue - valp1) / (valp2 - valp1);
|
|
|
|
// init isolevel vertex
|
|
ilv.v = p1 + (p2-p1)*mu; // with subdivs
|
|
mPoints.push_back( ilv );
|
|
triIndices[e] = (mPoints.size()-1);
|
|
// store vertex
|
|
*eVert[ e ] = triIndices[e];
|
|
} else {
|
|
// retrieve from vert array
|
|
triIndices[e] = *eVert[ e ];
|
|
}
|
|
} // along all edges
|
|
}
|
|
// removed cutoff treatment...
|
|
|
|
// Create the triangles...
|
|
for(int e=0; mcTriTable[cubeIndex][e]!=-1; e+=3) {
|
|
mIndices.push_back( triIndices[ mcTriTable[cubeIndex][e+0] ] );
|
|
mIndices.push_back( triIndices[ mcTriTable[cubeIndex][e+1] ] ); // with subdivs
|
|
mIndices.push_back( triIndices[ mcTriTable[cubeIndex][e+2] ] );
|
|
//errMsg("TTT"," i1"<<mIndices[mIndices.size()-3]<<" "<< " i2"<<mIndices[mIndices.size()-2]<<" "<< " i3"<<mIndices[mIndices.size()-1]<<" "<< mIndices.size() );
|
|
}
|
|
|
|
} // triangles in edge table?
|
|
|
|
}//si
|
|
}// sj
|
|
|
|
}//i
|
|
}// j
|
|
|
|
// copy edge arrays
|
|
for(int j=0;j<(mSizey-0)*mSubdivs;j++)
|
|
for(int i=0;i<(mSizex-0)*mSubdivs;i++) {
|
|
//int edgek = 0;
|
|
const int dst = EDGEAR_INDEX( 0, 0, 0, i,j);
|
|
const int src = EDGEAR_INDEX( 0, 0, 1, i,j);
|
|
mpEdgeVerticesX[ dst ] = mpEdgeVerticesX[ src ];
|
|
mpEdgeVerticesY[ dst ] = mpEdgeVerticesY[ src ]; // with subdivs
|
|
mpEdgeVerticesZ[ dst ] = mpEdgeVerticesZ[ src ];
|
|
mpEdgeVerticesX[ src ]=-1;
|
|
mpEdgeVerticesY[ src ]=-1; // with subdivs
|
|
mpEdgeVerticesZ[ src ]=-1;
|
|
}
|
|
// */
|
|
|
|
} // ok, k subdiv loop
|
|
|
|
//delete [] subdAr;
|
|
delete [] arppnt;
|
|
computeNormals();
|
|
} // with subdivs
|
|
|
|
// perform smoothing
|
|
float smoSubdfac = 1.;
|
|
if(mSubdivs>0) {
|
|
//smoSubdfac = 1./(float)(mSubdivs);
|
|
smoSubdfac = pow(0.55,(double)mSubdivs); // slightly stronger
|
|
}
|
|
if(mSmoothSurface>0. || mSmoothNormals>0.) debMsgStd("IsoSurface::triangulate",DM_MSG,"Smoothing...",10);
|
|
if(mSmoothSurface>0.0) {
|
|
smoothSurface(mSmoothSurface*smoSubdfac, (mSmoothNormals<=0.0) );
|
|
}
|
|
if(mSmoothNormals>0.0) {
|
|
smoothNormals(mSmoothNormals*smoSubdfac);
|
|
}
|
|
|
|
myTime_t tritimeend = getTime();
|
|
debMsgStd("IsoSurface::triangulate",DM_MSG,"took "<< getTimeString(tritimeend-tritimestart)<<", S("<<mSmoothSurface<<","<<mSmoothNormals<<"),"<<
|
|
" verts:"<<mPoints.size()<<" tris:"<<(mIndices.size()/3)<<" subdivs:"<<mSubdivs
|
|
, 10 );
|
|
if(mpIsoParts) debMsgStd("IsoSurface::triangulate",DM_MSG,"parts:"<<mpIsoParts->getNumParticles(), 10);
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/******************************************************************************
|
|
* Get triangles for rendering
|
|
*****************************************************************************/
|
|
void IsoSurface::getTriangles(double t, vector<ntlTriangle> *triangles,
|
|
vector<ntlVec3Gfx> *vertices,
|
|
vector<ntlVec3Gfx> *normals, int objectId )
|
|
{
|
|
if(!mInitDone) {
|
|
debugOut("IsoSurface::getTriangles warning: Not initialized! ", 10);
|
|
return;
|
|
}
|
|
t = 0.;
|
|
//return; // DEBUG
|
|
|
|
/* triangulate field */
|
|
triangulate();
|
|
//errMsg("TRIS"," "<<mIndices.size() );
|
|
|
|
// new output with vertice reuse
|
|
int iniVertIndex = (*vertices).size();
|
|
int iniNormIndex = (*normals).size();
|
|
if(iniVertIndex != iniNormIndex) {
|
|
errFatal("getTriangles Error","For '"<<mName<<"': Vertices and normal array sizes to not match!!!",SIMWORLD_GENERICERROR);
|
|
return;
|
|
}
|
|
//errMsg("NM"," ivi"<<iniVertIndex<<" ini"<<iniNormIndex<<" vs"<<vertices->size()<<" ns"<<normals->size()<<" ts"<<triangles->size() );
|
|
//errMsg("NM"," ovs"<<mVertices.size()<<" ons"<<mVertNormals.size()<<" ots"<<mIndices.size() );
|
|
|
|
for(int i=0;i<(int)mPoints.size();i++) {
|
|
vertices->push_back( mPoints[i].v );
|
|
}
|
|
for(int i=0;i<(int)mPoints.size();i++) {
|
|
normals->push_back( mPoints[i].n );
|
|
}
|
|
|
|
//errMsg("N2"," ivi"<<iniVertIndex<<" ini"<<iniNormIndex<<" vs"<<vertices->size()<<" ns"<<normals->size()<<" ts"<<triangles->size() );
|
|
//errMsg("N2"," ovs"<<mVertices.size()<<" ons"<<mVertNormals.size()<<" ots"<<mIndices.size() );
|
|
|
|
for(int i=0;i<(int)mIndices.size();i+=3) {
|
|
const int smooth = 1;
|
|
int t1 = mIndices[i];
|
|
int t2 = mIndices[i+1];
|
|
int t3 = mIndices[i+2];
|
|
//errMsg("NM"," tri"<<t1<<" "<<t2<<" "<<t3 );
|
|
|
|
ntlTriangle tri;
|
|
|
|
tri.getPoints()[0] = t1+iniVertIndex;
|
|
tri.getPoints()[1] = t2+iniVertIndex;
|
|
tri.getPoints()[2] = t3+iniVertIndex;
|
|
|
|
/* init flags */
|
|
int flag = 0;
|
|
if(getVisible()){ flag |= TRI_GEOMETRY; }
|
|
if(getCastShadows() ) {
|
|
flag |= TRI_CASTSHADOWS; }
|
|
|
|
/* init geo init id */
|
|
int geoiId = getGeoInitId();
|
|
if(geoiId > 0) {
|
|
flag |= (1<< (geoiId+4));
|
|
flag |= mGeoInitType;
|
|
}
|
|
|
|
tri.setFlags( flag );
|
|
|
|
/* triangle normal missing */
|
|
tri.setNormal( ntlVec3Gfx(0.0) );
|
|
tri.setSmoothNormals( smooth );
|
|
tri.setObjectId( objectId );
|
|
triangles->push_back( tri );
|
|
}
|
|
//errMsg("N3"," ivi"<<iniVertIndex<<" ini"<<iniNormIndex<<" vs"<<vertices->size()<<" ns"<<normals->size()<<" ts"<<triangles->size() );
|
|
return;
|
|
}
|
|
|
|
|
|
|
|
inline ntlVec3Gfx IsoSurface::getNormal(int i, int j,int k) {
|
|
// WARNING - this requires a security boundary layer...
|
|
ntlVec3Gfx ret(0.0);
|
|
ret[0] = *getData(i-1,j ,k ) -
|
|
*getData(i+1,j ,k );
|
|
ret[1] = *getData(i ,j-1,k ) -
|
|
*getData(i ,j+1,k );
|
|
ret[2] = *getData(i ,j ,k-1 ) -
|
|
*getData(i ,j ,k+1 );
|
|
return ret;
|
|
}
|
|
|
|
|
|
|
|
|
|
/******************************************************************************
|
|
*
|
|
* Surface improvement, inspired by trimesh2 library
|
|
* (http://www.cs.princeton.edu/gfx/proj/trimesh2/)
|
|
*
|
|
*****************************************************************************/
|
|
|
|
void IsoSurface::setSmoothRad(float radi1, float radi2, ntlVec3Gfx mscc) {
|
|
mSCrad1 = radi1*radi1;
|
|
mSCrad2 = radi2*radi2;
|
|
mSCcenter = mscc;
|
|
}
|
|
|
|
// compute normals for all generated triangles
|
|
void IsoSurface::computeNormals() {
|
|
for(int i=0;i<(int)mPoints.size();i++) {
|
|
mPoints[i].n = ntlVec3Gfx(0.);
|
|
}
|
|
|
|
for(int i=0;i<(int)mIndices.size();i+=3) {
|
|
const int t1 = mIndices[i];
|
|
const int t2 = mIndices[i+1];
|
|
const int t3 = mIndices[i+2];
|
|
const ntlVec3Gfx p1 = mPoints[t1].v;
|
|
const ntlVec3Gfx p2 = mPoints[t2].v;
|
|
const ntlVec3Gfx p3 = mPoints[t3].v;
|
|
const ntlVec3Gfx n1=p1-p2;
|
|
const ntlVec3Gfx n2=p2-p3;
|
|
const ntlVec3Gfx n3=p3-p1;
|
|
const gfxReal len1 = normNoSqrt(n1);
|
|
const gfxReal len2 = normNoSqrt(n2);
|
|
const gfxReal len3 = normNoSqrt(n3);
|
|
const ntlVec3Gfx norm = cross(n1,n2);
|
|
mPoints[t1].n += norm * (1./(len1*len3));
|
|
mPoints[t2].n += norm * (1./(len1*len2));
|
|
mPoints[t3].n += norm * (1./(len2*len3));
|
|
}
|
|
|
|
for(int i=0;i<(int)mPoints.size();i++) {
|
|
normalize(mPoints[i].n);
|
|
}
|
|
}
|
|
|
|
// Diffuse a vector field at 1 vertex, weighted by
|
|
// a gaussian of width 1/sqrt(invsigma2)
|
|
bool IsoSurface::diffuseVertexField(ntlVec3Gfx *field, const int pointerScale, int src, float invsigma2, ntlVec3Gfx &target)
|
|
{
|
|
if((neighbors[src].size()<1) || (pointareas[src]<=0.0)) return 0;
|
|
const ntlVec3Gfx srcp = mPoints[src].v;
|
|
const ntlVec3Gfx srcn = mPoints[src].n;
|
|
if(mSCrad1>0.0 && mSCrad2>0.0) {
|
|
ntlVec3Gfx dp = mSCcenter-srcp; dp[2] = 0.0; // only xy-plane
|
|
float rd = normNoSqrt(dp);
|
|
if(rd > mSCrad2) {
|
|
return 0;
|
|
} else if(rd > mSCrad1) {
|
|
// optimize?
|
|
float org = 1.0/sqrt(invsigma2);
|
|
org *= (1.0- (rd-mSCrad1) / (mSCrad2-mSCrad1));
|
|
invsigma2 = 1.0/(org*org);
|
|
//errMsg("TRi","p"<<srcp<<" rd:"<<rd<<" r1:"<<mSCrad1<<" r2:"<<mSCrad2<<" org:"<<org<<" is:"<<invsigma2);
|
|
} else {
|
|
}
|
|
}
|
|
target = ntlVec3Gfx(0.0);
|
|
target += *(field+pointerScale*src) *pointareas[src];
|
|
float smstrSum = pointareas[src];
|
|
|
|
int flag = mFlagCnt;
|
|
mFlagCnt++;
|
|
flags[src] = flag;
|
|
mDboundary = neighbors[src];
|
|
while (!mDboundary.empty()) {
|
|
const int bbn = mDboundary.back();
|
|
mDboundary.pop_back();
|
|
if(flags[bbn]==flag) continue;
|
|
flags[bbn] = flag;
|
|
|
|
// normal check
|
|
const float nvdot = dot(srcn, mPoints[bbn].n); // faster than before d2 calc?
|
|
if(nvdot <= 0.0f) continue;
|
|
|
|
// gaussian weight of width 1/sqrt(invsigma2)
|
|
const float d2 = invsigma2 * normNoSqrt(mPoints[bbn].v - srcp);
|
|
if(d2 >= 9.0f) continue;
|
|
|
|
// aggressive smoothing factor
|
|
float smstr = nvdot * pointareas[bbn];
|
|
// Accumulate weight times field at neighbor
|
|
target += *(field+pointerScale*bbn)*smstr;
|
|
smstrSum += smstr;
|
|
|
|
for(int i = 0; i < (int)neighbors[bbn].size(); i++) {
|
|
const int nn = neighbors[bbn][i];
|
|
if (flags[nn] == flag) continue;
|
|
mDboundary.push_back(nn);
|
|
}
|
|
}
|
|
target /= smstrSum;
|
|
return 1;
|
|
}
|
|
|
|
|
|
// perform smoothing of the surface (and possible normals)
|
|
void IsoSurface::smoothSurface(float sigma, bool normSmooth)
|
|
{
|
|
int nv = mPoints.size();
|
|
if ((int)flags.size() != nv) flags.resize(nv);
|
|
int nf = mIndices.size()/3;
|
|
|
|
{ // need neighbors
|
|
vector<int> numneighbors(mPoints.size());
|
|
int i;
|
|
for (i = 0; i < (int)mIndices.size()/3; i++) {
|
|
numneighbors[mIndices[i*3+0]]++;
|
|
numneighbors[mIndices[i*3+1]]++;
|
|
numneighbors[mIndices[i*3+2]]++;
|
|
}
|
|
|
|
neighbors.clear();
|
|
neighbors.resize(mPoints.size());
|
|
for (i = 0; i < (int)mPoints.size(); i++) {
|
|
neighbors[i].clear();
|
|
neighbors[i].reserve(numneighbors[i]+2); // Slop for boundaries
|
|
}
|
|
|
|
for (i = 0; i < (int)mIndices.size()/3; i++) {
|
|
for (int j = 0; j < 3; j++) {
|
|
vector<int> &me = neighbors[ mIndices[i*3+j]];
|
|
int n1 = mIndices[i*3+((j+1)%3)];
|
|
int n2 = mIndices[i*3+((j+2)%3)];
|
|
if (std::find(me.begin(), me.end(), n1) == me.end())
|
|
me.push_back(n1);
|
|
if (std::find(me.begin(), me.end(), n2) == me.end())
|
|
me.push_back(n2);
|
|
}
|
|
}
|
|
} // need neighbor
|
|
|
|
{ // need pointarea
|
|
pointareas.clear();
|
|
pointareas.resize(nv);
|
|
cornerareas.clear();
|
|
cornerareas.resize(nf);
|
|
|
|
for (int i = 0; i < nf; i++) {
|
|
// Edges
|
|
ntlVec3Gfx e[3] = {
|
|
mPoints[mIndices[i*3+2]].v - mPoints[mIndices[i*3+1]].v,
|
|
mPoints[mIndices[i*3+0]].v - mPoints[mIndices[i*3+2]].v,
|
|
mPoints[mIndices[i*3+1]].v - mPoints[mIndices[i*3+0]].v };
|
|
|
|
// Compute corner weights
|
|
float area = 0.5f * norm( cross(e[0], e[1]));
|
|
float l2[3] = { normNoSqrt(e[0]), normNoSqrt(e[1]), normNoSqrt(e[2]) };
|
|
float ew[3] = { l2[0] * (l2[1] + l2[2] - l2[0]),
|
|
l2[1] * (l2[2] + l2[0] - l2[1]),
|
|
l2[2] * (l2[0] + l2[1] - l2[2]) };
|
|
if (ew[0] <= 0.0f) {
|
|
cornerareas[i][1] = -0.25f * l2[2] * area /
|
|
dot(e[0] , e[2]);
|
|
cornerareas[i][2] = -0.25f * l2[1] * area /
|
|
dot(e[0] , e[1]);
|
|
cornerareas[i][0] = area - cornerareas[i][1] -
|
|
cornerareas[i][2];
|
|
} else if (ew[1] <= 0.0f) {
|
|
cornerareas[i][2] = -0.25f * l2[0] * area /
|
|
dot(e[1] , e[0]);
|
|
cornerareas[i][0] = -0.25f * l2[2] * area /
|
|
dot(e[1] , e[2]);
|
|
cornerareas[i][1] = area - cornerareas[i][2] -
|
|
cornerareas[i][0];
|
|
} else if (ew[2] <= 0.0f) {
|
|
cornerareas[i][0] = -0.25f * l2[1] * area /
|
|
dot(e[2] , e[1]);
|
|
cornerareas[i][1] = -0.25f * l2[0] * area /
|
|
dot(e[2] , e[0]);
|
|
cornerareas[i][2] = area - cornerareas[i][0] -
|
|
cornerareas[i][1];
|
|
} else {
|
|
float ewscale = 0.5f * area / (ew[0] + ew[1] + ew[2]);
|
|
for (int j = 0; j < 3; j++)
|
|
cornerareas[i][j] = ewscale * (ew[(j+1)%3] +
|
|
ew[(j+2)%3]);
|
|
}
|
|
|
|
// NT important, check this...
|
|
#ifndef WIN32
|
|
if(! finite(cornerareas[i][0]) ) cornerareas[i][0]=1e-6;
|
|
if(! finite(cornerareas[i][1]) ) cornerareas[i][1]=1e-6;
|
|
if(! finite(cornerareas[i][2]) ) cornerareas[i][2]=1e-6;
|
|
#else // WIN32
|
|
// FIXME check as well...
|
|
if(! (cornerareas[i][0]>=0.0) ) cornerareas[i][0]=1e-6;
|
|
if(! (cornerareas[i][1]>=0.0) ) cornerareas[i][1]=1e-6;
|
|
if(! (cornerareas[i][2]>=0.0) ) cornerareas[i][2]=1e-6;
|
|
#endif // WIN32
|
|
|
|
pointareas[mIndices[i*3+0]] += cornerareas[i][0];
|
|
pointareas[mIndices[i*3+1]] += cornerareas[i][1];
|
|
pointareas[mIndices[i*3+2]] += cornerareas[i][2];
|
|
}
|
|
|
|
} // need pointarea
|
|
// */
|
|
|
|
float invsigma2 = 1.0f / (sigma*sigma);
|
|
|
|
vector<ntlVec3Gfx> dflt(nv);
|
|
for (int i = 0; i < nv; i++) {
|
|
if(diffuseVertexField( &mPoints[0].v, 2,
|
|
i, invsigma2, dflt[i])) {
|
|
// Just keep the displacement
|
|
dflt[i] -= mPoints[i].v;
|
|
} else { dflt[i] = 0.0; } //?mPoints[i].v; }
|
|
}
|
|
|
|
// Slightly better small-neighborhood approximation
|
|
for (int i = 0; i < nf; i++) {
|
|
ntlVec3Gfx c = mPoints[mIndices[i*3+0]].v +
|
|
mPoints[mIndices[i*3+1]].v +
|
|
mPoints[mIndices[i*3+2]].v;
|
|
c /= 3.0f;
|
|
for (int j = 0; j < 3; j++) {
|
|
int v = mIndices[i*3+j];
|
|
ntlVec3Gfx d =(c - mPoints[v].v) * 0.5f;
|
|
dflt[v] += d * (cornerareas[i][j] /
|
|
pointareas[mIndices[i*3+j]] *
|
|
exp(-0.5f * invsigma2 * normNoSqrt(d)) );
|
|
}
|
|
}
|
|
|
|
// Filter displacement field
|
|
vector<ntlVec3Gfx> dflt2(nv);
|
|
for (int i = 0; i < nv; i++) {
|
|
if(diffuseVertexField( &dflt[0], 1,
|
|
i, invsigma2, dflt2[i])) { }
|
|
else { /*mPoints[i].v=0.0;*/ dflt2[i] = 0.0; }//dflt2[i]; }
|
|
}
|
|
|
|
// Update vertex positions
|
|
for (int i = 0; i < nv; i++) {
|
|
mPoints[i].v += dflt[i] - dflt2[i]; // second Laplacian
|
|
}
|
|
|
|
// when normals smoothing off, this cleans up quite well
|
|
// costs ca. 50% additional time though
|
|
float nsFac = 1.5f;
|
|
if(normSmooth) { float ninvsigma2 = 1.0f / (nsFac*nsFac*sigma*sigma);
|
|
for (int i = 0; i < nv; i++) {
|
|
if( diffuseVertexField( &mPoints[0].n, 2, i, ninvsigma2, dflt[i]) ) {
|
|
normalize(dflt[i]);
|
|
} else {
|
|
dflt[i] = mPoints[i].n;
|
|
}
|
|
}
|
|
for (int i = 0; i < nv; i++) {
|
|
mPoints[i].n = dflt[i];
|
|
}
|
|
} // smoothNormals copy */
|
|
|
|
//errMsg("SMSURF","done v:"<<sigma); // DEBUG
|
|
}
|
|
|
|
// only smoothen the normals
|
|
void IsoSurface::smoothNormals(float sigma) {
|
|
// reuse from smoothSurface
|
|
if(neighbors.size() != mPoints.size()) {
|
|
// need neighbor
|
|
vector<int> numneighbors(mPoints.size());
|
|
int i;
|
|
for (i = 0; i < (int)mIndices.size()/3; i++) {
|
|
numneighbors[mIndices[i*3+0]]++;
|
|
numneighbors[mIndices[i*3+1]]++;
|
|
numneighbors[mIndices[i*3+2]]++;
|
|
}
|
|
|
|
neighbors.clear();
|
|
neighbors.resize(mPoints.size());
|
|
for (i = 0; i < (int)mPoints.size(); i++) {
|
|
neighbors[i].clear();
|
|
neighbors[i].reserve(numneighbors[i]+2); // Slop for boundaries
|
|
}
|
|
|
|
for (i = 0; i < (int)mIndices.size()/3; i++) {
|
|
for (int j = 0; j < 3; j++) {
|
|
vector<int> &me = neighbors[ mIndices[i*3+j]];
|
|
int n1 = mIndices[i*3+((j+1)%3)];
|
|
int n2 = mIndices[i*3+((j+2)%3)];
|
|
if (std::find(me.begin(), me.end(), n1) == me.end())
|
|
me.push_back(n1);
|
|
if (std::find(me.begin(), me.end(), n2) == me.end())
|
|
me.push_back(n2);
|
|
}
|
|
}
|
|
} // need neighbor
|
|
|
|
{ // need pointarea
|
|
int nf = mIndices.size()/3, nv = mPoints.size();
|
|
pointareas.clear();
|
|
pointareas.resize(nv);
|
|
cornerareas.clear();
|
|
cornerareas.resize(nf);
|
|
|
|
for (int i = 0; i < nf; i++) {
|
|
// Edges
|
|
ntlVec3Gfx e[3] = {
|
|
mPoints[mIndices[i*3+2]].v - mPoints[mIndices[i*3+1]].v,
|
|
mPoints[mIndices[i*3+0]].v - mPoints[mIndices[i*3+2]].v,
|
|
mPoints[mIndices[i*3+1]].v - mPoints[mIndices[i*3+0]].v };
|
|
|
|
// Compute corner weights
|
|
float area = 0.5f * norm( cross(e[0], e[1]));
|
|
float l2[3] = { normNoSqrt(e[0]), normNoSqrt(e[1]), normNoSqrt(e[2]) };
|
|
float ew[3] = { l2[0] * (l2[1] + l2[2] - l2[0]),
|
|
l2[1] * (l2[2] + l2[0] - l2[1]),
|
|
l2[2] * (l2[0] + l2[1] - l2[2]) };
|
|
if (ew[0] <= 0.0f) {
|
|
cornerareas[i][1] = -0.25f * l2[2] * area /
|
|
dot(e[0] , e[2]);
|
|
cornerareas[i][2] = -0.25f * l2[1] * area /
|
|
dot(e[0] , e[1]);
|
|
cornerareas[i][0] = area - cornerareas[i][1] -
|
|
cornerareas[i][2];
|
|
} else if (ew[1] <= 0.0f) {
|
|
cornerareas[i][2] = -0.25f * l2[0] * area /
|
|
dot(e[1] , e[0]);
|
|
cornerareas[i][0] = -0.25f * l2[2] * area /
|
|
dot(e[1] , e[2]);
|
|
cornerareas[i][1] = area - cornerareas[i][2] -
|
|
cornerareas[i][0];
|
|
} else if (ew[2] <= 0.0f) {
|
|
cornerareas[i][0] = -0.25f * l2[1] * area /
|
|
dot(e[2] , e[1]);
|
|
cornerareas[i][1] = -0.25f * l2[0] * area /
|
|
dot(e[2] , e[0]);
|
|
cornerareas[i][2] = area - cornerareas[i][0] -
|
|
cornerareas[i][1];
|
|
} else {
|
|
float ewscale = 0.5f * area / (ew[0] + ew[1] + ew[2]);
|
|
for (int j = 0; j < 3; j++)
|
|
cornerareas[i][j] = ewscale * (ew[(j+1)%3] +
|
|
ew[(j+2)%3]);
|
|
}
|
|
|
|
// NT important, check this...
|
|
#ifndef WIN32
|
|
if(! finite(cornerareas[i][0]) ) cornerareas[i][0]=1e-6;
|
|
if(! finite(cornerareas[i][1]) ) cornerareas[i][1]=1e-6;
|
|
if(! finite(cornerareas[i][2]) ) cornerareas[i][2]=1e-6;
|
|
#else // WIN32
|
|
// FIXME check as well...
|
|
if(! (cornerareas[i][0]>=0.0) ) cornerareas[i][0]=1e-6;
|
|
if(! (cornerareas[i][1]>=0.0) ) cornerareas[i][1]=1e-6;
|
|
if(! (cornerareas[i][2]>=0.0) ) cornerareas[i][2]=1e-6;
|
|
#endif // WIN32
|
|
|
|
pointareas[mIndices[i*3+0]] += cornerareas[i][0];
|
|
pointareas[mIndices[i*3+1]] += cornerareas[i][1];
|
|
pointareas[mIndices[i*3+2]] += cornerareas[i][2];
|
|
}
|
|
|
|
} // need pointarea
|
|
|
|
int nv = mPoints.size();
|
|
if ((int)flags.size() != nv) flags.resize(nv);
|
|
float invsigma2 = 1.0f / (sigma*sigma);
|
|
|
|
vector<ntlVec3Gfx> nflt(nv);
|
|
for (int i = 0; i < nv; i++) {
|
|
if(diffuseVertexField( &mPoints[0].n, 2, i, invsigma2, nflt[i])) {
|
|
normalize(nflt[i]);
|
|
} else { nflt[i]=mPoints[i].n; }
|
|
}
|
|
|
|
// copy results
|
|
for (int i = 0; i < nv; i++) { mPoints[i].n = nflt[i]; }
|
|
}
|
|
|
|
|