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# Human brain reconstruction using Marching cubes

Posted on 2009-04-25
Medium Priority
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Hi expert, i'm doing a project like title above.
I read through many articles and journal about marching cube and i got the idea of it.
I am using VC++ opengl to do my project.
I used a data set which is point coordinate ( x,y,z ) got after vectorization.
I tried to implement my data on marching cube example i found on internet, but the rendering speed is very slow and the model do not look nice (it just look like a round ball, it should be a human brain which have different shape).
Is this my computer performance problem or the algorithm problem?
But i think my computer can at least show out a better model and not just like this.
Please help me on that, or can i have another example of marching cube using C++ ?
Thanks so much

``````#include "stdio.h"
#include "math.h"
#include "gl/glut.h"
#include "iostream"
#include "conio.h"
#include <fstream>

using namespace std;
struct GLvector
{
GLfloat fX;
GLfloat fY;
GLfloat fZ;
};

//These tables are used so that everything can be done in little loops that you can look at all at once
// rather than in pages and pages of unrolled code.

//a2fVertexOffset lists the positions, relative to vertex0, of each of the 8 vertices of a cube
static const GLfloat a2fVertexOffset[8][3] =
{
{0.0, 0.0, 0.0},{1.0, 0.0, 0.0},{1.0, 1.0, 0.0},{0.0, 1.0, 0.0},
{0.0, 0.0, 1.0},{1.0, 0.0, 1.0},{1.0, 1.0, 1.0},{0.0, 1.0, 1.0}
};

//a2iEdgeConnection lists the index of the endpoint vertices for each of the 12 edges of the cube
static const GLint a2iEdgeConnection[12][2] =
{
{0,1}, {1,2}, {2,3}, {3,0},
{4,5}, {5,6}, {6,7}, {7,4},
{0,4}, {1,5}, {2,6}, {3,7}
};

//a2fEdgeDirection lists the direction vector (vertex1-vertex0) for each edge in the cube
static const GLfloat a2fEdgeDirection[12][3] =
{
{1.0, 0.0, 0.0},{0.0, 1.0, 0.0},{-1.0, 0.0, 0.0},{0.0, -1.0, 0.0},
{1.0, 0.0, 0.0},{0.0, 1.0, 0.0},{-1.0, 0.0, 0.0},{0.0, -1.0, 0.0},
{0.0, 0.0, 1.0},{0.0, 0.0, 1.0},{ 0.0, 0.0, 1.0},{0.0,  0.0, 1.0}
};

static const GLfloat afAmbientWhite [] = {0.25, 0.25, 0.25, 1.00};
static const GLfloat afAmbientRed   [] = {0.25, 0.00, 0.00, 1.00};
static const GLfloat afAmbientGreen [] = {0.00, 0.25, 0.00, 1.00};
static const GLfloat afAmbientBlue  [] = {0.00, 0.00, 0.25, 1.00};
static const GLfloat afDiffuseWhite [] = {0.75, 0.75, 0.75, 1.00};
static const GLfloat afDiffuseRed   [] = {0.75, 0.00, 0.00, 1.00};
static const GLfloat afDiffuseGreen [] = {0.00, 0.75, 0.00, 1.00};
static const GLfloat afDiffuseBlue  [] = {0.00, 0.00, 0.75, 1.00};
static const GLfloat afSpecularWhite[] = {1.00, 1.00, 1.00, 1.00};
static const GLfloat afSpecularRed  [] = {1.00, 0.25, 0.25, 1.00};
static const GLfloat afSpecularGreen[] = {0.25, 1.00, 0.25, 1.00};
static const GLfloat afSpecularBlue [] = {0.25, 0.25, 1.00, 1.00};

GLenum    ePolygonMode = GL_LINE;
GLint     iDataSetSize = 10;
GLfloat   fStepSize = 1.0/iDataSetSize;
GLfloat   fTargetValue = 122.0;
GLfloat   fTime = 0.0;
GLvector  sSourcePoint[10000];
GLboolean bSpin = true;
GLboolean bMove = false;
GLboolean bLight = false;

void vIdle();
void vDrawScene();
void vResize(GLsizei, GLsizei);
void vKeyboard(unsigned char cKey, int iX, int iY);
void vSpecial(int iKey, int iX, int iY);

GLvoid vPrintHelp();
GLvoid vSetTime(GLfloat fTime);
GLfloat fSample1(GLfloat fX, GLfloat fY, GLfloat fZ);
GLfloat fSample2(GLfloat fX, GLfloat fY, GLfloat fZ);
GLfloat fSample3(GLfloat fX, GLfloat fY, GLfloat fZ);
GLfloat (*fSample)(GLfloat fX, GLfloat fY, GLfloat fZ) = fSample1;

GLvoid vMarchingCubes();
GLvoid vMarchCube1(GLfloat fX, GLfloat fY, GLfloat fZ, GLfloat fScale);
GLvoid vMarchCube2(GLfloat fX, GLfloat fY, GLfloat fZ, GLfloat fScale);
GLvoid (*vMarchCube)(GLfloat fX, GLfloat fY, GLfloat fZ, GLfloat fScale) = vMarchCube1;

void main(int argc, char **argv)
{
GLfloat afPropertiesAmbient [] = {0.50, 0.50, 0.50, 1.00};
GLfloat afPropertiesDiffuse [] = {0.75, 0.75, 0.75, 1.00};
GLfloat afPropertiesSpecular[] = {1.00, 1.00, 1.00, 1.00};

GLsizei iWidth = 640.0;
GLsizei iHeight = 480.0;

glutInit(&argc, argv);
glutInitWindowPosition( 0, 0);
glutInitWindowSize(iWidth, iHeight);
glutInitDisplayMode( GLUT_RGB | GLUT_DEPTH | GLUT_DOUBLE );
glutCreateWindow( "Marching Cubes" );
glutDisplayFunc( vDrawScene );
glutIdleFunc( vIdle );
glutReshapeFunc( vResize );
glutKeyboardFunc( vKeyboard );
glutSpecialFunc( vSpecial );

glClearColor( 0.0, 0.0, 0.0, 1.0 );
glClearDepth( 1.0 );

glEnable(GL_DEPTH_TEST);
glEnable(GL_LIGHTING);
glPolygonMode(GL_FRONT_AND_BACK, ePolygonMode);

glLightfv( GL_LIGHT0, GL_AMBIENT,  afPropertiesAmbient);
glLightfv( GL_LIGHT0, GL_DIFFUSE,  afPropertiesDiffuse);
glLightfv( GL_LIGHT0, GL_SPECULAR, afPropertiesSpecular);
glLightModelf(GL_LIGHT_MODEL_TWO_SIDE, 1.0);

glEnable( GL_LIGHT0 );

glMaterialfv(GL_BACK,  GL_AMBIENT,   afAmbientGreen);
glMaterialfv(GL_BACK,  GL_DIFFUSE,   afDiffuseGreen);
glMaterialfv(GL_FRONT, GL_AMBIENT,   afAmbientBlue);
glMaterialfv(GL_FRONT, GL_DIFFUSE,   afDiffuseBlue);
glMaterialfv(GL_FRONT, GL_SPECULAR,  afSpecularWhite);
glMaterialf( GL_FRONT, GL_SHININESS, 25.0);

vResize(iWidth, iHeight);

vPrintHelp();
glutMainLoop();
}

GLvoid vPrintHelp()
{
printf("Marching Cubes Example by Cory Bloyd (dejaspaminacan@my-deja.com)\n\n");

printf("+/-  increase/decrease sample density\n");
printf("PageUp/PageDown  increase/decrease surface value\n");
printf("s  change sample function\n");
printf("c  toggle marching cubes / marching tetrahedrons\n");
printf("w  wireframe on/off\n");
printf("l  toggle lighting / color-by-normal\n");
printf("Home  spin scene on/off\n");
printf("End  source point animation on/off\n");
}

void vResize( GLsizei iWidth, GLsizei iHeight )
{
GLfloat fAspect, fHalfWorldSize = (1.4142135623730950488016887242097/2);

glViewport( 0, 0, iWidth, iHeight );
glMatrixMode (GL_PROJECTION);

if(iWidth <= iHeight)
{
fAspect = (GLfloat)iHeight / (GLfloat)iWidth;
glOrtho(-fHalfWorldSize, fHalfWorldSize, -fHalfWorldSize*fAspect,
fHalfWorldSize*fAspect, -10*fHalfWorldSize, 10*fHalfWorldSize);
}
else
{
fAspect = (GLfloat)iWidth / (GLfloat)iHeight;
glOrtho(-fHalfWorldSize*fAspect, fHalfWorldSize*fAspect, -fHalfWorldSize,
fHalfWorldSize, -10*fHalfWorldSize, 10*fHalfWorldSize);
}

glMatrixMode( GL_MODELVIEW );
}

void vKeyboard(unsigned char cKey, int iX, int iY)
{
switch(cKey)
{
case 'w' :
{
if(ePolygonMode == GL_LINE)
{
ePolygonMode = GL_FILL;
}
else
{
ePolygonMode = GL_LINE;
}
glPolygonMode(GL_FRONT_AND_BACK, ePolygonMode);
} break;
case '+' :
case '=' :
{
++iDataSetSize;
fStepSize = 1.0/iDataSetSize;
cout<<"\nfStepSize= "<<fStepSize;
} break;
case '-' :
{
if(iDataSetSize > 1)
{
--iDataSetSize;
fStepSize = 1.0/iDataSetSize;
cout<<"\nfStepSize= "<<fStepSize;
}
} break;
case 'l' :
{
if(bLight)
{
glDisable(GL_LIGHTING);//use vertex colors
}
else
{
glEnable(GL_LIGHTING);//use lit material color
}

bLight = !bLight;
};
}
}

void vSpecial(int iKey, int iX, int iY)
{
switch(iKey)
{
case GLUT_KEY_PAGE_UP :
{
if(fTargetValue < 2000.0)
{
fTargetValue *= 1.1;
cout<<"\nfTargetValue= "<<fTargetValue;
}
} break;
case GLUT_KEY_PAGE_DOWN :
{
if(fTargetValue > 1.0)
{
fTargetValue /= 1.1;
cout<<"\nfTargetValue= "<<fTargetValue;
}
} break;
case GLUT_KEY_HOME :
{
bSpin = !bSpin;
} break;
case GLUT_KEY_END :
{
bMove = !bMove;
} break;
}
}

void vIdle()
{
glutPostRedisplay();
}

void vDrawScene()
{

static GLfloat fPitch = 0.0;
static GLfloat fYaw   = 0.0;
static GLfloat fTime = 0.0;

glClear( GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT );

glPushMatrix();

if(bSpin)
{
fPitch += 0.5;
fYaw   += 0.25;
}
if(bMove)
{
fTime  += 0.015;
}

vSetTime(fTime);

glTranslatef(0.0, 0.0, -1.0);
glRotatef( -fPitch, 0.0, 1.0, 0.0);
glRotatef(     0.0, 0.0, 1.0, 0.0);
glRotatef(    fYaw, 0.0, 0.0, 1.0);

/*
glPushAttrib(GL_LIGHTING_BIT);
glDisable(GL_LIGHTING);
glColor3f(1.0, 1.0, 1.0);
glutWireCube(1.0);
glPopAttrib();
*/

glPushMatrix();
glTranslatef(-0.75, -0.55, -0.75);

/*
for(GLint iX = 0; iX < iDataSetSize; iX++)
for(GLint iY = 0; iY < iDataSetSize; iY++)
for(GLint iZ = 0; iZ < iDataSetSize; iZ++)
{
glPointSize(5.0);
glBegin(GL_POINTS);
glColor3f(1.0f,1.0f,1.0f);
glVertex3f(iX*fStepSize, iY*fStepSize, iZ*fStepSize);
glEnd();

}
for(GLint iSourceNum=0; iSourceNum<10357 ;  iSourceNum++)
{
glPointSize(10.0);
glBegin(GL_POINTS);
glColor3f(1.0f,1.0f,1.0f);
glVertex3f(((sSourcePoint[iSourceNum].fX-0.456)/1.68*0.6)+0.2,
((sSourcePoint[iSourceNum].fY-0.401)/1.73*0.6)+0.2,
((sSourcePoint[iSourceNum].fZ-0.01)/0.96*0.6)+0.2);
glEnd();
}*/
glBegin(GL_TRIANGLES);
vMarchingCubes();
glEnd();
glPopMatrix();

glPopMatrix();

glutSwapBuffers();
}

//fGetOffset finds the approximate point of intersection of the surface
// between two points with the values fValue1 and fValue2
GLfloat fGetOffset(GLfloat fValue1, GLfloat fValue2, GLfloat fValueDesired)
{

GLdouble fDelta = fValue2 - fValue1;

if(fDelta == 0.0)
{
return 0.5;
}
return (fValueDesired - fValue1)/fDelta;
}

//vGetColor generates a color from a given position and normal of a point
GLvoid vGetColor(GLvector &rfColor, GLvector &rfPosition, GLvector &rfNormal)
{

GLfloat fX = rfNormal.fX;
GLfloat fY = rfNormal.fY;
GLfloat fZ = rfNormal.fZ;
rfColor.fX = (fX > 0.0 ? fX : 0.0) + (fY < 0.0 ? -0.5*fY : 0.0) + (fZ < 0.0 ? -0.5*fZ : 0.0);
rfColor.fY = (fY > 0.0 ? fY : 0.0) + (fZ < 0.0 ? -0.5*fZ : 0.0) + (fX < 0.0 ? -0.5*fX : 0.0);
rfColor.fZ = (fZ > 0.0 ? fZ : 0.0) + (fX < 0.0 ? -0.5*fX : 0.0) + (fY < 0.0 ? -0.5*fY : 0.0);
}

GLvoid vNormalizeVector(GLvector &rfVectorResult, GLvector &rfVectorSource)
{

GLfloat fOldLength;
GLfloat fScale;

fOldLength = sqrtf( (rfVectorSource.fX * rfVectorSource.fX) +
(rfVectorSource.fY * rfVectorSource.fY) +
(rfVectorSource.fZ * rfVectorSource.fZ) );

if(fOldLength == 0.0)
{
rfVectorResult.fX = rfVectorSource.fX;
rfVectorResult.fY = rfVectorSource.fY;
rfVectorResult.fZ = rfVectorSource.fZ;
}
else
{
fScale = 1.0/fOldLength;
rfVectorResult.fX = rfVectorSource.fX*fScale;
rfVectorResult.fY = rfVectorSource.fY*fScale;
rfVectorResult.fZ = rfVectorSource.fZ*fScale;
}
}

//Generate a sample data set.  fSample1(), fSample2() and fSample3() define three scalar fields whose
// values vary by the X,Y and Z coordinates and by the fTime value set by vSetTime()
GLvoid vSetTime(GLfloat fNewTime)
{

GLfloat fOffset;
GLint iSourceNum=0;

ifstream myFile("brainData.txt");

for( iSourceNum=0; iSourceNum<5000;  iSourceNum++)
{
myFile>>sSourcePoint[iSourceNum].fX;
myFile>>sSourcePoint[iSourceNum].fY;
myFile>>sSourcePoint[iSourceNum].fZ;
sSourcePoint[iSourceNum].fX=((sSourcePoint[iSourceNum].fX-0.456)/1.68*0.6)+0.2;
sSourcePoint[iSourceNum].fY=((sSourcePoint[iSourceNum].fY-0.401)/1.73*0.6)+0.2;
sSourcePoint[iSourceNum].fZ=((sSourcePoint[iSourceNum].fZ-0.01)/0.96*0.6)+0.2;

//cout<<"\nsSourcePoint["<<iSourceNum<<"]= ("<<sSourcePoint[iSourceNum].fX<<" , "<<sSourcePoint[iSourceNum].fY<<" , "<<sSourcePoint[iSourceNum].fZ<<")";
//getch();
}

/*

for(iSourceNum = 0; iSourceNum < 5; iSourceNum++)
{

sSourcePoint[iSourceNum].fX = (GLfloat)iSourceNum/10+0.2;
sSourcePoint[iSourceNum].fY = (GLfloat)iSourceNum/10+0.2;
sSourcePoint[iSourceNum].fZ = (GLfloat)iSourceNum/10+0.2;

}*/

/*
fTime = fNewTime;
fOffset = 1.0 + sinf(fTime);
sSourcePoint[0].fX *= fOffset;
sSourcePoint[1].fY *= fOffset;
sSourcePoint[2].fZ *= fOffset;*/
}

//fSample1 finds the distance of (fX, fY, fZ) from three moving points
GLfloat fSample1(GLfloat fX, GLfloat fY, GLfloat fZ)
{

GLdouble fResult = 0.0;
GLdouble fDx, fDy, fDz;

for(GLint iSourceNum=0; iSourceNum<5000 ;  iSourceNum++)
{
fDx = fX - sSourcePoint[iSourceNum].fX;
fDy = fY - sSourcePoint[iSourceNum].fY;
fDz = fZ - sSourcePoint[iSourceNum].fZ;
fResult += 0.001/(fDx*fDx + fDy*fDy + fDz*fDz);
}

return fResult;
}

//vGetNormal() finds the gradient of the scalar field at a point
//This gradient can be used as a very accurate vertx normal for lighting calculations
GLvoid vGetNormal(GLvector &rfNormal, GLfloat fX, GLfloat fY, GLfloat fZ)
{
rfNormal.fX = fSample(fX-0.01, fY, fZ) - fSample(fX+0.01, fY, fZ);
rfNormal.fY = fSample(fX, fY-0.01, fZ) - fSample(fX, fY+0.01, fZ);
rfNormal.fZ = fSample(fX, fY, fZ-0.01) - fSample(fX, fY, fZ+0.01);
vNormalizeVector(rfNormal, rfNormal);
}

//vMarchCube1 performs the Marching Cubes algorithm on a single cube
GLvoid vMarchCube1(GLfloat fX, GLfloat fY, GLfloat fZ, GLfloat fScale)
{
extern GLint aiCubeEdgeFlags[256];
extern GLint a2iTriangleConnectionTable[256][16];

GLint iCorner, iVertex, iVertexTest, iEdge, iTriangle, iFlagIndex, iEdgeFlags;
GLfloat fOffset;
GLvector sColor;
GLfloat afCubeValue[8];
GLvector asEdgeVertex[12];
GLvector asEdgeNorm[12];

//Make a local copy of the values at the cube's corners
for(iVertex = 0; iVertex < 8; iVertex++)
{
afCubeValue[iVertex] = fSample(fX + a2fVertexOffset[iVertex][0]*fScale,
fY + a2fVertexOffset[iVertex][1]*fScale,
fZ + a2fVertexOffset[iVertex][2]*fScale);
}

//Find which vertices are inside of the surface and which are outside
iFlagIndex = 0;
for(iVertexTest = 0; iVertexTest < 8; iVertexTest++)
{
if(afCubeValue[iVertexTest] <= fTargetValue)
iFlagIndex |= 1<<iVertexTest;
}

//Find which edges are intersected by the surface
iEdgeFlags = aiCubeEdgeFlags[iFlagIndex];

//If the cube is entirely inside or outside of the surface, then there will be no intersections
if(iEdgeFlags == 0)
{
return;
}

//Find the point of intersection of the surface with each edge
//Then find the normal to the surface at those points
for(iEdge = 0; iEdge < 12; iEdge++)
{
//if there is an intersection on this edge
if(iEdgeFlags & (1<<iEdge))
{
fOffset = fGetOffset(afCubeValue[ a2iEdgeConnection[iEdge][0] ],
afCubeValue[ a2iEdgeConnection[iEdge][1] ], fTargetValue);

asEdgeVertex[iEdge].fX = fX + (a2fVertexOffset[ a2iEdgeConnection[iEdge][0] ][0]  +  fOffset * a2fEdgeDirection[iEdge][0]) * fScale;
asEdgeVertex[iEdge].fY = fY + (a2fVertexOffset[ a2iEdgeConnection[iEdge][0] ][1]  +  fOffset * a2fEdgeDirection[iEdge][1]) * fScale;
asEdgeVertex[iEdge].fZ = fZ + (a2fVertexOffset[ a2iEdgeConnection[iEdge][0] ][2]  +  fOffset * a2fEdgeDirection[iEdge][2]) * fScale;

vGetNormal(asEdgeNorm[iEdge], asEdgeVertex[iEdge].fX, asEdgeVertex[iEdge].fY, asEdgeVertex[iEdge].fZ);
}
}

//Draw the triangles that were found.  There can be up to five per cube
for(iTriangle = 0; iTriangle < 5; iTriangle++)
{
if(a2iTriangleConnectionTable[iFlagIndex][3*iTriangle] < 0)
break;

for(iCorner = 0; iCorner < 3; iCorner++)
{
iVertex = a2iTriangleConnectionTable[iFlagIndex][3*iTriangle+iCorner];

vGetColor(sColor, asEdgeVertex[iVertex], asEdgeNorm[iVertex]);
glColor3f(sColor.fX, sColor.fY, sColor.fZ);
glNormal3f(asEdgeNorm[iVertex].fX,   asEdgeNorm[iVertex].fY,   asEdgeNorm[iVertex].fZ);
glVertex3f(asEdgeVertex[iVertex].fX, asEdgeVertex[iVertex].fY, asEdgeVertex[iVertex].fZ);
}
}
}

//vMarchingCubes iterates over the entire dataset, calling vMarchCube on each cube
GLvoid vMarchingCubes()
{
GLint iX, iY, iZ;
for(iX = 0; iX < iDataSetSize; iX++)
for(iY = 0; iY < iDataSetSize; iY++)
for(iZ = 0; iZ < iDataSetSize; iZ++)
{
vMarchCube(iX*fStepSize, iY*fStepSize, iZ*fStepSize, fStepSize);
}
}

GLint aiCubeEdgeFlags[256]=
{
0x000, 0x109, 0x203, 0x30a, 0x406, 0x50f, 0x605, 0x70c, 0x80c, 0x905, 0xa0f, 0xb06, 0xc0a, 0xd03, 0xe09, 0xf00,
0x190, 0x099, 0x393, 0x29a, 0x596, 0x49f, 0x795, 0x69c, 0x99c, 0x895, 0xb9f, 0xa96, 0xd9a, 0xc93, 0xf99, 0xe90,
0x230, 0x339, 0x033, 0x13a, 0x636, 0x73f, 0x435, 0x53c, 0xa3c, 0xb35, 0x83f, 0x936, 0xe3a, 0xf33, 0xc39, 0xd30,
0x3a0, 0x2a9, 0x1a3, 0x0aa, 0x7a6, 0x6af, 0x5a5, 0x4ac, 0xbac, 0xaa5, 0x9af, 0x8a6, 0xfaa, 0xea3, 0xda9, 0xca0,
0x460, 0x569, 0x663, 0x76a, 0x066, 0x16f, 0x265, 0x36c, 0xc6c, 0xd65, 0xe6f, 0xf66, 0x86a, 0x963, 0xa69, 0xb60,
0x5f0, 0x4f9, 0x7f3, 0x6fa, 0x1f6, 0x0ff, 0x3f5, 0x2fc, 0xdfc, 0xcf5, 0xfff, 0xef6, 0x9fa, 0x8f3, 0xbf9, 0xaf0,
0x650, 0x759, 0x453, 0x55a, 0x256, 0x35f, 0x055, 0x15c, 0xe5c, 0xf55, 0xc5f, 0xd56, 0xa5a, 0xb53, 0x859, 0x950,
0x7c0, 0x6c9, 0x5c3, 0x4ca, 0x3c6, 0x2cf, 0x1c5, 0x0cc, 0xfcc, 0xec5, 0xdcf, 0xcc6, 0xbca, 0xac3, 0x9c9, 0x8c0,
0x8c0, 0x9c9, 0xac3, 0xbca, 0xcc6, 0xdcf, 0xec5, 0xfcc, 0x0cc, 0x1c5, 0x2cf, 0x3c6, 0x4ca, 0x5c3, 0x6c9, 0x7c0,
0x950, 0x859, 0xb53, 0xa5a, 0xd56, 0xc5f, 0xf55, 0xe5c, 0x15c, 0x055, 0x35f, 0x256, 0x55a, 0x453, 0x759, 0x650,
0xaf0, 0xbf9, 0x8f3, 0x9fa, 0xef6, 0xfff, 0xcf5, 0xdfc, 0x2fc, 0x3f5, 0x0ff, 0x1f6, 0x6fa, 0x7f3, 0x4f9, 0x5f0,
0xb60, 0xa69, 0x963, 0x86a, 0xf66, 0xe6f, 0xd65, 0xc6c, 0x36c, 0x265, 0x16f, 0x066, 0x76a, 0x663, 0x569, 0x460,
0xca0, 0xda9, 0xea3, 0xfaa, 0x8a6, 0x9af, 0xaa5, 0xbac, 0x4ac, 0x5a5, 0x6af, 0x7a6, 0x0aa, 0x1a3, 0x2a9, 0x3a0,
0xd30, 0xc39, 0xf33, 0xe3a, 0x936, 0x83f, 0xb35, 0xa3c, 0x53c, 0x435, 0x73f, 0x636, 0x13a, 0x033, 0x339, 0x230,
0xe90, 0xf99, 0xc93, 0xd9a, 0xa96, 0xb9f, 0x895, 0x99c, 0x69c, 0x795, 0x49f, 0x596, 0x29a, 0x393, 0x099, 0x190,
0xf00, 0xe09, 0xd03, 0xc0a, 0xb06, 0xa0f, 0x905, 0x80c, 0x70c, 0x605, 0x50f, 0x406, 0x30a, 0x203, 0x109, 0x000
};

GLint a2iTriangleConnectionTable[256][16] =
{
{-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{0, 1, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{1, 8, 3, 9, 8, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{0, 8, 3, 1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{9, 2, 10, 0, 2, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{2, 8, 3, 2, 10, 8, 10, 9, 8, -1, -1, -1, -1, -1, -1, -1},
{3, 11, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{0, 11, 2, 8, 11, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{1, 9, 0, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{1, 11, 2, 1, 9, 11, 9, 8, 11, -1, -1, -1, -1, -1, -1, -1},
{3, 10, 1, 11, 10, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{0, 10, 1, 0, 8, 10, 8, 11, 10, -1, -1, -1, -1, -1, -1, -1},
{3, 9, 0, 3, 11, 9, 11, 10, 9, -1, -1, -1, -1, -1, -1, -1},
{9, 8, 10, 10, 8, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{4, 7, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{4, 3, 0, 7, 3, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{0, 1, 9, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{4, 1, 9, 4, 7, 1, 7, 3, 1, -1, -1, -1, -1, -1, -1, -1},
{1, 2, 10, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{3, 4, 7, 3, 0, 4, 1, 2, 10, -1, -1, -1, -1, -1, -1, -1},
{9, 2, 10, 9, 0, 2, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1},
{2, 10, 9, 2, 9, 7, 2, 7, 3, 7, 9, 4, -1, -1, -1, -1},
{8, 4, 7, 3, 11, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{11, 4, 7, 11, 2, 4, 2, 0, 4, -1, -1, -1, -1, -1, -1, -1},
{9, 0, 1, 8, 4, 7, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1},
{4, 7, 11, 9, 4, 11, 9, 11, 2, 9, 2, 1, -1, -1, -1, -1},
{3, 10, 1, 3, 11, 10, 7, 8, 4, -1, -1, -1, -1, -1, -1, -1},
{1, 11, 10, 1, 4, 11, 1, 0, 4, 7, 11, 4, -1, -1, -1, -1},
{4, 7, 8, 9, 0, 11, 9, 11, 10, 11, 0, 3, -1, -1, -1, -1},
{4, 7, 11, 4, 11, 9, 9, 11, 10, -1, -1, -1, -1, -1, -1, -1},
{9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{9, 5, 4, 0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{0, 5, 4, 1, 5, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{8, 5, 4, 8, 3, 5, 3, 1, 5, -1, -1, -1, -1, -1, -1, -1},
{1, 2, 10, 9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{3, 0, 8, 1, 2, 10, 4, 9, 5, -1, -1, -1, -1, -1, -1, -1},
{5, 2, 10, 5, 4, 2, 4, 0, 2, -1, -1, -1, -1, -1, -1, -1},
{2, 10, 5, 3, 2, 5, 3, 5, 4, 3, 4, 8, -1, -1, -1, -1},
{9, 5, 4, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{0, 11, 2, 0, 8, 11, 4, 9, 5, -1, -1, -1, -1, -1, -1, -1},
{0, 5, 4, 0, 1, 5, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1},
{2, 1, 5, 2, 5, 8, 2, 8, 11, 4, 8, 5, -1, -1, -1, -1},
{10, 3, 11, 10, 1, 3, 9, 5, 4, -1, -1, -1, -1, -1, -1, -1},
{4, 9, 5, 0, 8, 1, 8, 10, 1, 8, 11, 10, -1, -1, -1, -1},
{5, 4, 0, 5, 0, 11, 5, 11, 10, 11, 0, 3, -1, -1, -1, -1},
{5, 4, 8, 5, 8, 10, 10, 8, 11, -1, -1, -1, -1, -1, -1, -1},
{9, 7, 8, 5, 7, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{9, 3, 0, 9, 5, 3, 5, 7, 3, -1, -1, -1, -1, -1, -1, -1},
{0, 7, 8, 0, 1, 7, 1, 5, 7, -1, -1, -1, -1, -1, -1, -1},
{1, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{9, 7, 8, 9, 5, 7, 10, 1, 2, -1, -1, -1, -1, -1, -1, -1},
{10, 1, 2, 9, 5, 0, 5, 3, 0, 5, 7, 3, -1, -1, -1, -1},
{8, 0, 2, 8, 2, 5, 8, 5, 7, 10, 5, 2, -1, -1, -1, -1},
{2, 10, 5, 2, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1},
{7, 9, 5, 7, 8, 9, 3, 11, 2, -1, -1, -1, -1, -1, -1, -1},
{9, 5, 7, 9, 7, 2, 9, 2, 0, 2, 7, 11, -1, -1, -1, -1},
{2, 3, 11, 0, 1, 8, 1, 7, 8, 1, 5, 7, -1, -1, -1, -1},
{11, 2, 1, 11, 1, 7, 7, 1, 5, -1, -1, -1, -1, -1, -1, -1},
{9, 5, 8, 8, 5, 7, 10, 1, 3, 10, 3, 11, -1, -1, -1, -1},
{5, 7, 0, 5, 0, 9, 7, 11, 0, 1, 0, 10, 11, 10, 0, -1},
{11, 10, 0, 11, 0, 3, 10, 5, 0, 8, 0, 7, 5, 7, 0, -1},
{11, 10, 5, 7, 11, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{10, 6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{0, 8, 3, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{9, 0, 1, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{1, 8, 3, 1, 9, 8, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1},
{1, 6, 5, 2, 6, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{1, 6, 5, 1, 2, 6, 3, 0, 8, -1, -1, -1, -1, -1, -1, -1},
{9, 6, 5, 9, 0, 6, 0, 2, 6, -1, -1, -1, -1, -1, -1, -1},
{5, 9, 8, 5, 8, 2, 5, 2, 6, 3, 2, 8, -1, -1, -1, -1},
{2, 3, 11, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{11, 0, 8, 11, 2, 0, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1},
{0, 1, 9, 2, 3, 11, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1},
{5, 10, 6, 1, 9, 2, 9, 11, 2, 9, 8, 11, -1, -1, -1, -1},
{6, 3, 11, 6, 5, 3, 5, 1, 3, -1, -1, -1, -1, -1, -1, -1},
{0, 8, 11, 0, 11, 5, 0, 5, 1, 5, 11, 6, -1, -1, -1, -1},
{3, 11, 6, 0, 3, 6, 0, 6, 5, 0, 5, 9, -1, -1, -1, -1},
{6, 5, 9, 6, 9, 11, 11, 9, 8, -1, -1, -1, -1, -1, -1, -1},
{5, 10, 6, 4, 7, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{4, 3, 0, 4, 7, 3, 6, 5, 10, -1, -1, -1, -1, -1, -1, -1},
{1, 9, 0, 5, 10, 6, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1},
{10, 6, 5, 1, 9, 7, 1, 7, 3, 7, 9, 4, -1, -1, -1, -1},
{6, 1, 2, 6, 5, 1, 4, 7, 8, -1, -1, -1, -1, -1, -1, -1},
{1, 2, 5, 5, 2, 6, 3, 0, 4, 3, 4, 7, -1, -1, -1, -1},
{8, 4, 7, 9, 0, 5, 0, 6, 5, 0, 2, 6, -1, -1, -1, -1},
{7, 3, 9, 7, 9, 4, 3, 2, 9, 5, 9, 6, 2, 6, 9, -1},
{3, 11, 2, 7, 8, 4, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1},
{5, 10, 6, 4, 7, 2, 4, 2, 0, 2, 7, 11, -1, -1, -1, -1},
{0, 1, 9, 4, 7, 8, 2, 3, 11, 5, 10, 6, -1, -1, -1, -1},
{9, 2, 1, 9, 11, 2, 9, 4, 11, 7, 11, 4, 5, 10, 6, -1},
{8, 4, 7, 3, 11, 5, 3, 5, 1, 5, 11, 6, -1, -1, -1, -1},
{5, 1, 11, 5, 11, 6, 1, 0, 11, 7, 11, 4, 0, 4, 11, -1},
{0, 5, 9, 0, 6, 5, 0, 3, 6, 11, 6, 3, 8, 4, 7, -1},
{6, 5, 9, 6, 9, 11, 4, 7, 9, 7, 11, 9, -1, -1, -1, -1},
{10, 4, 9, 6, 4, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{4, 10, 6, 4, 9, 10, 0, 8, 3, -1, -1, -1, -1, -1, -1, -1},
{10, 0, 1, 10, 6, 0, 6, 4, 0, -1, -1, -1, -1, -1, -1, -1},
{8, 3, 1, 8, 1, 6, 8, 6, 4, 6, 1, 10, -1, -1, -1, -1},
{1, 4, 9, 1, 2, 4, 2, 6, 4, -1, -1, -1, -1, -1, -1, -1},
{3, 0, 8, 1, 2, 9, 2, 4, 9, 2, 6, 4, -1, -1, -1, -1},
{0, 2, 4, 4, 2, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{8, 3, 2, 8, 2, 4, 4, 2, 6, -1, -1, -1, -1, -1, -1, -1},
{10, 4, 9, 10, 6, 4, 11, 2, 3, -1, -1, -1, -1, -1, -1, -1},
{0, 8, 2, 2, 8, 11, 4, 9, 10, 4, 10, 6, -1, -1, -1, -1},
{3, 11, 2, 0, 1, 6, 0, 6, 4, 6, 1, 10, -1, -1, -1, -1},
{6, 4, 1, 6, 1, 10, 4, 8, 1, 2, 1, 11, 8, 11, 1, -1},
{9, 6, 4, 9, 3, 6, 9, 1, 3, 11, 6, 3, -1, -1, -1, -1},
{8, 11, 1, 8, 1, 0, 11, 6, 1, 9, 1, 4, 6, 4, 1, -1},
{3, 11, 6, 3, 6, 0, 0, 6, 4, -1, -1, -1, -1, -1, -1, -1},
{6, 4, 8, 11, 6, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{7, 10, 6, 7, 8, 10, 8, 9, 10, -1, -1, -1, -1, -1, -1, -1},
{0, 7, 3, 0, 10, 7, 0, 9, 10, 6, 7, 10, -1, -1, -1, -1},
{10, 6, 7, 1, 10, 7, 1, 7, 8, 1, 8, 0, -1, -1, -1, -1},
{10, 6, 7, 10, 7, 1, 1, 7, 3, -1, -1, -1, -1, -1, -1, -1},
{1, 2, 6, 1, 6, 8, 1, 8, 9, 8, 6, 7, -1, -1, -1, -1},
{2, 6, 9, 2, 9, 1, 6, 7, 9, 0, 9, 3, 7, 3, 9, -1},
{7, 8, 0, 7, 0, 6, 6, 0, 2, -1, -1, -1, -1, -1, -1, -1},
{7, 3, 2, 6, 7, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{2, 3, 11, 10, 6, 8, 10, 8, 9, 8, 6, 7, -1, -1, -1, -1},
{2, 0, 7, 2, 7, 11, 0, 9, 7, 6, 7, 10, 9, 10, 7, -1},
{1, 8, 0, 1, 7, 8, 1, 10, 7, 6, 7, 10, 2, 3, 11, -1},
{11, 2, 1, 11, 1, 7, 10, 6, 1, 6, 7, 1, -1, -1, -1, -1},
{8, 9, 6, 8, 6, 7, 9, 1, 6, 11, 6, 3, 1, 3, 6, -1},
{0, 9, 1, 11, 6, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{7, 8, 0, 7, 0, 6, 3, 11, 0, 11, 6, 0, -1, -1, -1, -1},
{7, 11, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{7, 6, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{3, 0, 8, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{0, 1, 9, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{8, 1, 9, 8, 3, 1, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1},
{10, 1, 2, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{1, 2, 10, 3, 0, 8, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1},
{2, 9, 0, 2, 10, 9, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1},
{6, 11, 7, 2, 10, 3, 10, 8, 3, 10, 9, 8, -1, -1, -1, -1},
{7, 2, 3, 6, 2, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{7, 0, 8, 7, 6, 0, 6, 2, 0, -1, -1, -1, -1, -1, -1, -1},
{2, 7, 6, 2, 3, 7, 0, 1, 9, -1, -1, -1, -1, -1, -1, -1},
{1, 6, 2, 1, 8, 6, 1, 9, 8, 8, 7, 6, -1, -1, -1, -1},
{10, 7, 6, 10, 1, 7, 1, 3, 7, -1, -1, -1, -1, -1, -1, -1},
{10, 7, 6, 1, 7, 10, 1, 8, 7, 1, 0, 8, -1, -1, -1, -1},
{0, 3, 7, 0, 7, 10, 0, 10, 9, 6, 10, 7, -1, -1, -1, -1},
{7, 6, 10, 7, 10, 8, 8, 10, 9, -1, -1, -1, -1, -1, -1, -1},
{6, 8, 4, 11, 8, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{3, 6, 11, 3, 0, 6, 0, 4, 6, -1, -1, -1, -1, -1, -1, -1},
{8, 6, 11, 8, 4, 6, 9, 0, 1, -1, -1, -1, -1, -1, -1, -1},
{9, 4, 6, 9, 6, 3, 9, 3, 1, 11, 3, 6, -1, -1, -1, -1},
{6, 8, 4, 6, 11, 8, 2, 10, 1, -1, -1, -1, -1, -1, -1, -1},
{1, 2, 10, 3, 0, 11, 0, 6, 11, 0, 4, 6, -1, -1, -1, -1},
{4, 11, 8, 4, 6, 11, 0, 2, 9, 2, 10, 9, -1, -1, -1, -1},
{10, 9, 3, 10, 3, 2, 9, 4, 3, 11, 3, 6, 4, 6, 3, -1},
{8, 2, 3, 8, 4, 2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1},
{0, 4, 2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{1, 9, 0, 2, 3, 4, 2, 4, 6, 4, 3, 8, -1, -1, -1, -1},
{1, 9, 4, 1, 4, 2, 2, 4, 6, -1, -1, -1, -1, -1, -1, -1},
{8, 1, 3, 8, 6, 1, 8, 4, 6, 6, 10, 1, -1, -1, -1, -1},
{10, 1, 0, 10, 0, 6, 6, 0, 4, -1, -1, -1, -1, -1, -1, -1},
{4, 6, 3, 4, 3, 8, 6, 10, 3, 0, 3, 9, 10, 9, 3, -1},
{10, 9, 4, 6, 10, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{4, 9, 5, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{0, 8, 3, 4, 9, 5, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1},
{5, 0, 1, 5, 4, 0, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1},
{11, 7, 6, 8, 3, 4, 3, 5, 4, 3, 1, 5, -1, -1, -1, -1},
{9, 5, 4, 10, 1, 2, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1},
{6, 11, 7, 1, 2, 10, 0, 8, 3, 4, 9, 5, -1, -1, -1, -1},
{7, 6, 11, 5, 4, 10, 4, 2, 10, 4, 0, 2, -1, -1, -1, -1},
{3, 4, 8, 3, 5, 4, 3, 2, 5, 10, 5, 2, 11, 7, 6, -1},
{7, 2, 3, 7, 6, 2, 5, 4, 9, -1, -1, -1, -1, -1, -1, -1},
{9, 5, 4, 0, 8, 6, 0, 6, 2, 6, 8, 7, -1, -1, -1, -1},
{3, 6, 2, 3, 7, 6, 1, 5, 0, 5, 4, 0, -1, -1, -1, -1},
{6, 2, 8, 6, 8, 7, 2, 1, 8, 4, 8, 5, 1, 5, 8, -1},
{9, 5, 4, 10, 1, 6, 1, 7, 6, 1, 3, 7, -1, -1, -1, -1},
{1, 6, 10, 1, 7, 6, 1, 0, 7, 8, 7, 0, 9, 5, 4, -1},
{4, 0, 10, 4, 10, 5, 0, 3, 10, 6, 10, 7, 3, 7, 10, -1},
{7, 6, 10, 7, 10, 8, 5, 4, 10, 4, 8, 10, -1, -1, -1, -1},
{6, 9, 5, 6, 11, 9, 11, 8, 9, -1, -1, -1, -1, -1, -1, -1},
{3, 6, 11, 0, 6, 3, 0, 5, 6, 0, 9, 5, -1, -1, -1, -1},
{0, 11, 8, 0, 5, 11, 0, 1, 5, 5, 6, 11, -1, -1, -1, -1},
{6, 11, 3, 6, 3, 5, 5, 3, 1, -1, -1, -1, -1, -1, -1, -1},
{1, 2, 10, 9, 5, 11, 9, 11, 8, 11, 5, 6, -1, -1, -1, -1},
{0, 11, 3, 0, 6, 11, 0, 9, 6, 5, 6, 9, 1, 2, 10, -1},
{11, 8, 5, 11, 5, 6, 8, 0, 5, 10, 5, 2, 0, 2, 5, -1},
{6, 11, 3, 6, 3, 5, 2, 10, 3, 10, 5, 3, -1, -1, -1, -1},
{5, 8, 9, 5, 2, 8, 5, 6, 2, 3, 8, 2, -1, -1, -1, -1},
{9, 5, 6, 9, 6, 0, 0, 6, 2, -1, -1, -1, -1, -1, -1, -1},
{1, 5, 8, 1, 8, 0, 5, 6, 8, 3, 8, 2, 6, 2, 8, -1},
{1, 5, 6, 2, 1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{1, 3, 6, 1, 6, 10, 3, 8, 6, 5, 6, 9, 8, 9, 6, -1},
{10, 1, 0, 10, 0, 6, 9, 5, 0, 5, 6, 0, -1, -1, -1, -1},
{0, 3, 8, 5, 6, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{10, 5, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{11, 5, 10, 7, 5, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{11, 5, 10, 11, 7, 5, 8, 3, 0, -1, -1, -1, -1, -1, -1, -1},
{5, 11, 7, 5, 10, 11, 1, 9, 0, -1, -1, -1, -1, -1, -1, -1},
{10, 7, 5, 10, 11, 7, 9, 8, 1, 8, 3, 1, -1, -1, -1, -1},
{11, 1, 2, 11, 7, 1, 7, 5, 1, -1, -1, -1, -1, -1, -1, -1},
{0, 8, 3, 1, 2, 7, 1, 7, 5, 7, 2, 11, -1, -1, -1, -1},
{9, 7, 5, 9, 2, 7, 9, 0, 2, 2, 11, 7, -1, -1, -1, -1},
{7, 5, 2, 7, 2, 11, 5, 9, 2, 3, 2, 8, 9, 8, 2, -1},
{2, 5, 10, 2, 3, 5, 3, 7, 5, -1, -1, -1, -1, -1, -1, -1},
{8, 2, 0, 8, 5, 2, 8, 7, 5, 10, 2, 5, -1, -1, -1, -1},
{9, 0, 1, 5, 10, 3, 5, 3, 7, 3, 10, 2, -1, -1, -1, -1},
{9, 8, 2, 9, 2, 1, 8, 7, 2, 10, 2, 5, 7, 5, 2, -1},
{1, 3, 5, 3, 7, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{0, 8, 7, 0, 7, 1, 1, 7, 5, -1, -1, -1, -1, -1, -1, -1},
{9, 0, 3, 9, 3, 5, 5, 3, 7, -1, -1, -1, -1, -1, -1, -1},
{9, 8, 7, 5, 9, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{5, 8, 4, 5, 10, 8, 10, 11, 8, -1, -1, -1, -1, -1, -1, -1},
{5, 0, 4, 5, 11, 0, 5, 10, 11, 11, 3, 0, -1, -1, -1, -1},
{0, 1, 9, 8, 4, 10, 8, 10, 11, 10, 4, 5, -1, -1, -1, -1},
{10, 11, 4, 10, 4, 5, 11, 3, 4, 9, 4, 1, 3, 1, 4, -1},
{2, 5, 1, 2, 8, 5, 2, 11, 8, 4, 5, 8, -1, -1, -1, -1},
{0, 4, 11, 0, 11, 3, 4, 5, 11, 2, 11, 1, 5, 1, 11, -1},
{0, 2, 5, 0, 5, 9, 2, 11, 5, 4, 5, 8, 11, 8, 5, -1},
{9, 4, 5, 2, 11, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{2, 5, 10, 3, 5, 2, 3, 4, 5, 3, 8, 4, -1, -1, -1, -1},
{5, 10, 2, 5, 2, 4, 4, 2, 0, -1, -1, -1, -1, -1, -1, -1},
{3, 10, 2, 3, 5, 10, 3, 8, 5, 4, 5, 8, 0, 1, 9, -1},
{5, 10, 2, 5, 2, 4, 1, 9, 2, 9, 4, 2, -1, -1, -1, -1},
{8, 4, 5, 8, 5, 3, 3, 5, 1, -1, -1, -1, -1, -1, -1, -1},
{0, 4, 5, 1, 0, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{8, 4, 5, 8, 5, 3, 9, 0, 5, 0, 3, 5, -1, -1, -1, -1},
{9, 4, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{4, 11, 7, 4, 9, 11, 9, 10, 11, -1, -1, -1, -1, -1, -1, -1},
{0, 8, 3, 4, 9, 7, 9, 11, 7, 9, 10, 11, -1, -1, -1, -1},
{1, 10, 11, 1, 11, 4, 1, 4, 0, 7, 4, 11, -1, -1, -1, -1},
{3, 1, 4, 3, 4, 8, 1, 10, 4, 7, 4, 11, 10, 11, 4, -1},
{4, 11, 7, 9, 11, 4, 9, 2, 11, 9, 1, 2, -1, -1, -1, -1},
{9, 7, 4, 9, 11, 7, 9, 1, 11, 2, 11, 1, 0, 8, 3, -1},
{11, 7, 4, 11, 4, 2, 2, 4, 0, -1, -1, -1, -1, -1, -1, -1},
{11, 7, 4, 11, 4, 2, 8, 3, 4, 3, 2, 4, -1, -1, -1, -1},
{2, 9, 10, 2, 7, 9, 2, 3, 7, 7, 4, 9, -1, -1, -1, -1},
{9, 10, 7, 9, 7, 4, 10, 2, 7, 8, 7, 0, 2, 0, 7, -1},
{3, 7, 10, 3, 10, 2, 7, 4, 10, 1, 10, 0, 4, 0, 10, -1},
{1, 10, 2, 8, 7, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{4, 9, 1, 4, 1, 7, 7, 1, 3, -1, -1, -1, -1, -1, -1, -1},
{4, 9, 1, 4, 1, 7, 0, 8, 1, 8, 7, 1, -1, -1, -1, -1},
{4, 0, 3, 7, 4, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{4, 8, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{9, 10, 8, 10, 11, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{3, 0, 9, 3, 9, 11, 11, 9, 10, -1, -1, -1, -1, -1, -1, -1},
{0, 1, 10, 0, 10, 8, 8, 10, 11, -1, -1, -1, -1, -1, -1, -1},
{3, 1, 10, 11, 3, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{1, 2, 11, 1, 11, 9, 9, 11, 8, -1, -1, -1, -1, -1, -1, -1},
{3, 0, 9, 3, 9, 11, 1, 2, 9, 2, 11, 9, -1, -1, -1, -1},
{0, 2, 11, 8, 0, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{3, 2, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{2, 3, 8, 2, 8, 10, 10, 8, 9, -1, -1, -1, -1, -1, -1, -1},
{9, 10, 2, 0, 9, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{2, 3, 8, 2, 8, 10, 0, 1, 8, 1, 10, 8, -1, -1, -1, -1},
{1, 10, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{1, 3, 8, 9, 1, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{0, 9, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{0, 3, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}
};
``````
0
Question by:shasharul
• 9
• 6

LVL 20

Expert Comment

ID: 24235128
hey shasharul,

very interesting q.. :)  i found the original in the net here:

http://local.wasp.uwa.edu.au/~pbourke/geometry/polygonise/
http://local.wasp.uwa.edu.au/~pbourke/geometry/polygonise/marchingsource.cpp

>> Is this my computer performance problem or the algorithm problem?

the original runs smooth, the main difference i found in your app is, that you use way higher amount of source-points:

ori:         GLvector  sSourcePoint[3];
vours:    GLvector  sSourcePoint[10000];

so its most likely the much higher amount of input you use ..

ike

0

LVL 20

Expert Comment

ID: 24235142
btw, you should leave the references/copyright in the code of others when you use it, there is an email as well..
you can try to send an email to Cory Bloyd

//
// Marching Cubes Example Program
// by Cory Bloyd (corysama@yahoo.com)
//
// A simple, portable and complete implementation of the Marching Cubes
// and Marching Tetrahedrons algorithms in a single source file.
// There are many ways that this code could be made faster, but the
// intent is for the code to be easy to understand.
//
// For a description of the algorithm go to
// http://astronomy.swin.edu.au/pbourke/modelling/polygonise/
//
// This code is public domain.
//

0

LVL 20

Expert Comment

ID: 24235180
the original "vSetTime" function just sets 3 points in sSourcePoint to {0.5,0.5,0.5}

in the same function in your code, you open a file and read in 5000 points EACH frame and you're doing a calculation with them. open the file once at programm start and read in all the source-points ONCE and prepare them there with your calculation there, not EACH frame

0

LVL 20

Expert Comment

ID: 24235212
the same for fSample1, you loop over 5000 points there, the original just uses three and the original comment states:

//fSample1 finds the distance of (fX, fY, fZ) from three moving points

where you use 5000 points..

are you sure it is supposed to work that way?

original:

//fSample1 finds the distance of (fX, fY, fZ) from three moving points
GLfloat fSample1(GLfloat fX, GLfloat fY, GLfloat fZ)
{
GLdouble fResult = 0.0;
GLdouble fDx, fDy, fDz;
fDx = fX - sSourcePoint[0].fX;
fDy = fY - sSourcePoint[0].fY;
fDz = fZ - sSourcePoint[0].fZ;
fResult += 0.5/(fDx*fDx + fDy*fDy + fDz*fDz);

fDx = fX - sSourcePoint[1].fX;
fDy = fY - sSourcePoint[1].fY;
fDz = fZ - sSourcePoint[1].fZ;
fResult += 1.0/(fDx*fDx + fDy*fDy + fDz*fDz);

fDx = fX - sSourcePoint[2].fX;
fDy = fY - sSourcePoint[2].fY;
fDz = fZ - sSourcePoint[2].fZ;
fResult += 1.5/(fDx*fDx + fDy*fDy + fDz*fDz);

return fResult;
}

yours:

//fSample1 finds the distance of (fX, fY, fZ) from three moving points
GLfloat fSample1(GLfloat fX, GLfloat fY, GLfloat fZ)
{

GLdouble fResult = 0.0;
GLdouble fDx, fDy, fDz;

for(GLint iSourceNum=0; iSourceNum<5000 ;  iSourceNum++)
{
fDx = fX - sSourcePoint[iSourceNum].fX;
fDy = fY - sSourcePoint[iSourceNum].fY;
fDz = fZ - sSourcePoint[iSourceNum].fZ;
fResult += 0.001/(fDx*fDx + fDy*fDy + fDz*fDz);
}

return fResult;
}

0

LVL 20

Expert Comment

ID: 24235279
to summarise:

i think your main performance-issue is those 5000 points read in from a file each frame and the calculation in fSample1
0

Author Comment

ID: 24236121
thanks so so much for the comments.
let me try it ^^.
cause i have a brain data with 20k points.
i reduced it to 10k points.
i always thinking what happened to the algorithm and never think about the open file function. thanks for telling me about that ^^
0

Author Comment

ID: 24236140
actually i not sure is it the way i should make the model.
i want test it using data i collected, so i try to edit the example from internet.
i try to change the way i load the data first, thanks so much to you
0

Author Comment

ID: 24236157
erm...... in the fSample1 function, i want to render all the points for the data.
if i don't loop 5k times, then what can i do?
can teach me how to do it?
the points rendered is depends on how many loop in that function ( if i m not mistaken, i tried in that example).
how am i going to change it ? help me plz~~~~
0

LVL 20

Accepted Solution

ikework earned 375 total points
ID: 24236361
but at least you dont have to read those 5000 values from file each frame, do it once, when program starts
0

Author Comment

ID: 24236454
ya, i tried it, but still same T-T
0

LVL 20

Expert Comment

ID: 24236467
can you show the code?
0

Author Comment

ID: 24236495
i just move that " vSetTime(fTime);" to the main function (void main )
0

LVL 20

Expert Comment

ID: 24237457
then you dont see the movement anymore, its just one static model then ..
0

Author Comment

ID: 24241395
it still can move .... but the speed is same slow as before T-T
0

LVL 20

Expert Comment

ID: 25316251
I object, starting with  http:#24235180 some useful tips were given.
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