AnotherFoxGuy/polyvox
1
0
Fork 0
Code Issues Pull Requests Activity

Initial version of new experimental marching cubes algorithm. Currently about half as fast.

Browse Source
This commit is contained in:
David Williams 2008-06-03 19:14:27 +00:00
parent 72a4e9902c
commit e49859fc40
5 changed files with 454 additions and 12 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

3
include/BlockVolumeIterator.h
View File

@ -55,7 +55,8 @@ namespace PolyVox
void setVoxel(VoxelType tValue);
bool isValidForRegion(void) const;
void moveForwardInRegion(void);
void moveForwardInRegionFast(void);
bool moveForwardInRegionXYZ(void);
VoxelType peekVoxel1nx1ny1nz(void) const;
VoxelType peekVoxel1nx1ny0pz(void) const;

55
include/BlockVolumeIterator.inl
View File

@ -253,7 +253,7 @@ namespace PolyVox
}
template <typename VoxelType>
void BlockVolumeIterator<VoxelType>::moveForwardInRegion(void)
void BlockVolumeIterator<VoxelType>::moveForwardInRegionFast(void)
{
mXPosInBlock++;
mCurrentVoxel++;
@ -337,6 +337,59 @@ namespace PolyVox
}
}
}
template <typename VoxelType>
bool BlockVolumeIterator<VoxelType>::moveForwardInRegionXYZ(void)
{
if(mXPosInVolume < mXRegionLast)
{
++mXPosInVolume;
if(mXPosInVolume % mVolume.m_uBlockSideLength != 0)
{
//No need to compute new block.
++mVoxelIndexInBlock;
++mCurrentVoxel;
}
else
{
//A more complex situation. Just call setPosition().
setPosition(mXPosInVolume, mYPosInVolume, mZPosInVolume);
}
}
else
{
mXPosInVolume = mXRegionFirst;
if(mYPosInVolume < mYRegionLast)
{
++mYPosInVolume;
//In the case of 'X' we used a trick to avoid calling this evey time. It's hard to use the same
//trick here because the x position has been reset and so is likely to be in a different block.
setPosition(mXPosInVolume, mYPosInVolume, mZPosInVolume);
}
else
{
mYPosInVolume = mYRegionFirst;
if(mZPosInVolume < mZRegionLast)
{
++mZPosInVolume;
//In the case of 'X' we used a trick to avoid calling this evey time. It's hard to use the same
//trick here because the x position has been reset and so is likely to be in a different block.
setPosition(mXPosInVolume, mYPosInVolume, mZPosInVolume);
}
else
{
//We've hit the end of the region. Reset x and y positions to where they were.
mXPosInVolume = mXRegionLast;
mYPosInVolume = mYRegionLast;
//Return false to indicate we failed to move forward.
return false;
}
}
}
return true;
}
#pragma endregion
#pragma region Peekers

1
include/SurfaceExtractors.h
View File

@ -35,6 +35,7 @@ namespace PolyVox
{
POLYVOX_API std::list<RegionGeometry> getChangedRegionGeometry(VolumeChangeTracker& volume);
POLYVOX_API void generateExperimentalMeshDataForRegion(BlockVolume<boost::uint8_t>* volumeData, Region region, IndexedSurfacePatch* singleMaterialPatch);
POLYVOX_API void generateRoughMeshDataForRegion(BlockVolume<boost::uint8_t>* volumeData, Region region, IndexedSurfacePatch* singleMaterialPatch);
POLYVOX_API Vector3DFloat computeNormal(BlockVolume<boost::uint8_t>* volumeData, const Vector3DFloat& position, NormalGenerationMethod normalGenerationMethod);

395
source/SurfaceExtractors.cpp
View File

@ -26,7 +26,7 @@ namespace PolyVox
regionGeometry.m_patchSingleMaterial = new IndexedSurfacePatch(false);
regionGeometry.m_v3dRegionPosition = iterChangedRegions->getLowerCorner();
generateRoughMeshDataForRegion(volume.getVolumeData(), *iterChangedRegions, regionGeometry.m_patchSingleMaterial);
generateExperimentalMeshDataForRegion(volume.getVolumeData(), *iterChangedRegions, regionGeometry.m_patchSingleMaterial);
//genMultiFromSingle(regionGeometry.m_patchSingleMaterial, regionGeometry.m_patchMultiMaterial);
@ -39,7 +39,7 @@ namespace PolyVox
return listChangedRegionGeometry;
}
void generateRoughMeshDataForRegion(BlockVolume<uint8_t>* volumeData, Region region, IndexedSurfacePatch* singleMaterialPatch)
void generateExperimentalMeshDataForRegion(BlockVolume<uint8_t>* volumeData, Region region, IndexedSurfacePatch* singleMaterialPatch)
{
//When generating the mesh for a region we actually look one voxel outside it in the
// back, bottom, right direction. Protect against access violations by cropping region here
@ -47,6 +47,392 @@ namespace PolyVox
regVolume.setUpperCorner(regVolume.getUpperCorner() - Vector3DInt32(1,1,1));
region.cropTo(regVolume);
//Offset from region corner
const Vector3DFloat offset = static_cast<Vector3DFloat>(region.getLowerCorner());
Vector3DFloat vertlist[12];
uint8_t vertMaterials[12];
BlockVolumeIterator<boost::uint8_t> volIter(*volumeData);
//For edge indices
boost::int32_t vertexIndicesX[POLYVOX_REGION_SIDE_LENGTH+1][POLYVOX_REGION_SIDE_LENGTH+1][POLYVOX_REGION_SIDE_LENGTH+1];
boost::int32_t vertexIndicesY[POLYVOX_REGION_SIDE_LENGTH+1][POLYVOX_REGION_SIDE_LENGTH+1][POLYVOX_REGION_SIDE_LENGTH+1];
boost::int32_t vertexIndicesZ[POLYVOX_REGION_SIDE_LENGTH+1][POLYVOX_REGION_SIDE_LENGTH+1][POLYVOX_REGION_SIDE_LENGTH+1];
memset(vertexIndicesX,0xFF,sizeof(vertexIndicesX)); //0xFF is -1 as two's complement - this may not be portable...
memset(vertexIndicesY,0xFF,sizeof(vertexIndicesY));
memset(vertexIndicesZ,0xFF,sizeof(vertexIndicesZ));
std::vector<boost::uint32_t> vecTriangleIndices;
std::vector<SurfaceVertex> vecVertices;
//////////////////////////////////////////////////////////////////////////
//Get mesh data
//////////////////////////////////////////////////////////////////////////
//Iterate over each cell in the region
volIter.setPosition(region.getLowerCorner().getX(),region.getLowerCorner().getY(), region.getLowerCorner().getZ());
volIter.setValidRegion(region);
while(volIter.moveForwardInRegionXYZ())
{
//Current position
const uint16_t x = volIter.getPosX() - offset.getX();
const uint16_t y = volIter.getPosY() - offset.getY();
const uint16_t z = volIter.getPosZ() - offset.getZ();
//Voxels values
const uint8_t v000 = volIter.getVoxel();
const uint8_t v100 = volIter.peekVoxel1px0py0pz();
const uint8_t v010 = volIter.peekVoxel0px1py0pz();
const uint8_t v110 = volIter.peekVoxel1px1py0pz();
const uint8_t v001 = volIter.peekVoxel0px0py1pz();
const uint8_t v101 = volIter.peekVoxel1px0py1pz();
const uint8_t v011 = volIter.peekVoxel0px1py1pz();
const uint8_t v111 = volIter.peekVoxel1px1py1pz();
//Determine the index into the edge table which tells us which vertices are inside of the surface
uint8_t iCubeIndex = 0;
if (v000 == 0) iCubeIndex |= 1;
if (v100 == 0) iCubeIndex |= 2;
if (v110 == 0) iCubeIndex |= 4;
if (v010 == 0) iCubeIndex |= 8;
if (v001 == 0) iCubeIndex |= 16;
if (v101 == 0) iCubeIndex |= 32;
if (v111 == 0) iCubeIndex |= 64;
if (v011 == 0) iCubeIndex |= 128;
/* Cube is entirely in/out of the surface */
if (edgeTable[iCubeIndex] == 0)
{
continue;
}
/* Find the vertices where the surface intersects the cube */
if (edgeTable[iCubeIndex] & 1)
{
if((x + offset.getX()) != region.getUpperCorner().getX())
{
vertlist[0].setX(x + 0.5f);
vertlist[0].setY(y);
vertlist[0].setZ(z);
vertMaterials[0] = v000 | v100; //Because one of these is 0, the or operation takes the max.
SurfaceVertex surfaceVertex(vertlist[0],vertMaterials[0], 1.0);
vecVertices.push_back(surfaceVertex);
vertexIndicesX[x][y][z] = vecVertices.size()-1;
}
}
/*if (edgeTable[iCubeIndex] & 2)
{
vertlist[1].setX(x + 1.0f);
vertlist[1].setY(y + 0.5f);
vertlist[1].setZ(z);
vertMaterials[1] = v100 | v110;
}*/
/*if (edgeTable[iCubeIndex] & 4)
{
vertlist[2].setX(x + 0.5f);
vertlist[2].setY(y + 1.0f);
vertlist[2].setZ(z);
vertMaterials[2] = v010 | v110;
}*/
if (edgeTable[iCubeIndex] & 8)
{
if((y + offset.getY()) != region.getUpperCorner().getY())
{
vertlist[3].setX(x);
vertlist[3].setY(y + 0.5f);
vertlist[3].setZ(z);
vertMaterials[3] = v000 | v010;
SurfaceVertex surfaceVertex(vertlist[3],vertMaterials[3], 1.0);
vecVertices.push_back(surfaceVertex);
vertexIndicesY[x][y][z] = vecVertices.size()-1;
}
}
/*if (edgeTable[iCubeIndex] & 16)
{
vertlist[4].setX(x + 0.5f);
vertlist[4].setY(y);
vertlist[4].setZ(z + 1.0f);
vertMaterials[4] = v001 | v101;
}*/
/*if (edgeTable[iCubeIndex] & 32)
{
vertlist[5].setX(x + 1.0f);
vertlist[5].setY(y + 0.5f);
vertlist[5].setZ(z + 1.0f);
vertMaterials[5] = v101 | v111;
}*/
/*if (edgeTable[iCubeIndex] & 64)
{
vertlist[6].setX(x + 0.5f);
vertlist[6].setY(y + 1.0f);
vertlist[6].setZ(z + 1.0f);
vertMaterials[6] = v011 | v111;
}*/
/*if (edgeTable[iCubeIndex] & 128)
{
vertlist[7].setX(x);
vertlist[7].setY(y + 0.5f);
vertlist[7].setZ(z + 1.0f);
vertMaterials[7] = v001 | v011;
}*/
if (edgeTable[iCubeIndex] & 256)
{
if((z + offset.getZ()) != region.getUpperCorner().getZ())
{
vertlist[8].setX(x);
vertlist[8].setY(y);
vertlist[8].setZ(z + 0.5f);
vertMaterials[8] = v000 | v001;
SurfaceVertex surfaceVertex(vertlist[8],vertMaterials[8], 1.0);
vecVertices.push_back(surfaceVertex);
vertexIndicesZ[x][y][z] = vecVertices.size()-1;
}
}
/*if (edgeTable[iCubeIndex] & 512)
{
vertlist[9].setX(x + 1.0f);
vertlist[9].setY(y);
vertlist[9].setZ(z + 0.5f);
vertMaterials[9] = v100 | v101;
}*/
/*if (edgeTable[iCubeIndex] & 1024)
{
vertlist[10].setX(x + 1.0f);
vertlist[10].setY(y + 1.0f);
vertlist[10].setZ(z + 0.5f);
vertMaterials[10] = v110 | v111;
}*/
/*if (edgeTable[iCubeIndex] & 2048)
{
vertlist[11].setX(x);
vertlist[11].setY(y + 1.0f);
vertlist[11].setZ(z + 0.5f);
vertMaterials[11] = v010 | v011;
}*/
/*for (int i=0;triTable[iCubeIndex][i]!=-1;i+=3)
{
//The three vertices forming a triangle
const Vector3DFloat vertex0 = vertlist[triTable[iCubeIndex][i ]] - offset;
const Vector3DFloat vertex1 = vertlist[triTable[iCubeIndex][i+1]] - offset;
const Vector3DFloat vertex2 = vertlist[triTable[iCubeIndex][i+2]] - offset;
const uint8_t material0 = vertMaterials[triTable[iCubeIndex][i ]];
const uint8_t material1 = vertMaterials[triTable[iCubeIndex][i+1]];
const uint8_t material2 = vertMaterials[triTable[iCubeIndex][i+2]];
SurfaceVertex surfaceVertex0Alpha1(vertex0,material0 + 0.1f,1.0f);
SurfaceVertex surfaceVertex1Alpha1(vertex1,material1 + 0.1f,1.0f);
SurfaceVertex surfaceVertex2Alpha1(vertex2,material2 + 0.1f,1.0f);
singleMaterialPatch->addTriangle(surfaceVertex0Alpha1, surfaceVertex1Alpha1, surfaceVertex2Alpha1);
}*///For each triangle
}//For each cell
boost::uint32_t indlist[12];
//Iterate over each cell in the region
region.setUpperCorner(region.getUpperCorner() - Vector3DInt32(1,1,1));
volIter.setPosition(region.getLowerCorner().getX(),region.getLowerCorner().getY(), region.getLowerCorner().getZ());
volIter.setValidRegion(region);
while(volIter.moveForwardInRegionXYZ())
{
//Current position
const uint16_t x = volIter.getPosX() - offset.getX();
const uint16_t y = volIter.getPosY() - offset.getY();
const uint16_t z = volIter.getPosZ() - offset.getZ();
//Voxels values
const uint8_t v000 = volIter.getVoxel();
const uint8_t v100 = volIter.peekVoxel1px0py0pz();
const uint8_t v010 = volIter.peekVoxel0px1py0pz();
const uint8_t v110 = volIter.peekVoxel1px1py0pz();
const uint8_t v001 = volIter.peekVoxel0px0py1pz();
const uint8_t v101 = volIter.peekVoxel1px0py1pz();
const uint8_t v011 = volIter.peekVoxel0px1py1pz();
const uint8_t v111 = volIter.peekVoxel1px1py1pz();
//Determine the index into the edge table which tells us which vertices are inside of the surface
uint8_t iCubeIndex = 0;
if (v000 == 0) iCubeIndex |= 1;
if (v100 == 0) iCubeIndex |= 2;
if (v110 == 0) iCubeIndex |= 4;
if (v010 == 0) iCubeIndex |= 8;
if (v001 == 0) iCubeIndex |= 16;
if (v101 == 0) iCubeIndex |= 32;
if (v111 == 0) iCubeIndex |= 64;
if (v011 == 0) iCubeIndex |= 128;
/* Cube is entirely in/out of the surface */
if (edgeTable[iCubeIndex] == 0)
{
continue;
}
/* Find the vertices where the surface intersects the cube */
if (edgeTable[iCubeIndex] & 1)
{
indlist[0] = vertexIndicesX[x][y][z];
assert(indlist[0] != -1);
/*vertlist[0].setX(x + 0.5f);
vertlist[0].setY(y);
vertlist[0].setZ(z);
vertMaterials[0] = v000 | v100;*/ //Because one of these is 0, the or operation takes the max.
}
if (edgeTable[iCubeIndex] & 2)
{
indlist[1] = vertexIndicesY[x+1][y][z];
assert(indlist[1] != -1);
/*vertlist[1].setX(x + 1.0f);
vertlist[1].setY(y + 0.5f);
vertlist[1].setZ(z);
vertMaterials[1] = v100 | v110;*/
}
if (edgeTable[iCubeIndex] & 4)
{
indlist[2] = vertexIndicesX[x][y+1][z];
assert(indlist[2] != -1);
/*vertlist[2].setX(x + 0.5f);
vertlist[2].setY(y + 1.0f);
vertlist[2].setZ(z);
vertMaterials[2] = v010 | v110;*/
}
if (edgeTable[iCubeIndex] & 8)
{
indlist[3] = vertexIndicesY[x][y][z];
assert(indlist[3] != -1);
/*vertlist[3].setX(x);
vertlist[3].setY(y + 0.5f);
vertlist[3].setZ(z);
vertMaterials[3] = v000 | v010;*/
}
if (edgeTable[iCubeIndex] & 16)
{
indlist[4] = vertexIndicesX[x][y][z+1];
assert(indlist[4] != -1);
/*vertlist[4].setX(x + 0.5f);
vertlist[4].setY(y);
vertlist[4].setZ(z + 1.0f);
vertMaterials[4] = v001 | v101;*/
}
if (edgeTable[iCubeIndex] & 32)
{
indlist[5] = vertexIndicesY[x+1][y][z+1];
assert(indlist[5] != -1);
/*vertlist[5].setX(x + 1.0f);
vertlist[5].setY(y + 0.5f);
vertlist[5].setZ(z + 1.0f);
vertMaterials[5] = v101 | v111;*/
}
if (edgeTable[iCubeIndex] & 64)
{
indlist[6] = vertexIndicesX[x][y+1][z+1];
assert(indlist[6] != -1);
/*vertlist[6].setX(x + 0.5f);
vertlist[6].setY(y + 1.0f);
vertlist[6].setZ(z + 1.0f);
vertMaterials[6] = v011 | v111;*/
}
if (edgeTable[iCubeIndex] & 128)
{
indlist[7] = vertexIndicesY[x][y][z+1];
assert(indlist[7] != -1);
/*vertlist[7].setX(x);
vertlist[7].setY(y + 0.5f);
vertlist[7].setZ(z + 1.0f);
vertMaterials[7] = v001 | v011;*/
}
if (edgeTable[iCubeIndex] & 256)
{
indlist[8] = vertexIndicesZ[x][y][z];
assert(indlist[8] != -1);
/*vertlist[8].setX(x);
vertlist[8].setY(y);
vertlist[8].setZ(z + 0.5f);
vertMaterials[8] = v000 | v001;*/
}
if (edgeTable[iCubeIndex] & 512)
{
indlist[9] = vertexIndicesZ[x+1][y][z];
assert(indlist[9] != -1);
/*vertlist[9].setX(x + 1.0f);
vertlist[9].setY(y);
vertlist[9].setZ(z + 0.5f);
vertMaterials[9] = v100 | v101;*/
}
if (edgeTable[iCubeIndex] & 1024)
{
indlist[10] = vertexIndicesZ[x+1][y+1][z];
assert(indlist[10] != -1);
/*vertlist[10].setX(x + 1.0f);
vertlist[10].setY(y + 1.0f);
vertlist[10].setZ(z + 0.5f);
vertMaterials[10] = v110 | v111;*/
}
if (edgeTable[iCubeIndex] & 2048)
{
indlist[11] = vertexIndicesZ[x][y+1][z];
assert(indlist[11] != -1);
/*vertlist[11].setX(x);
vertlist[11].setY(y + 1.0f);
vertlist[11].setZ(z + 0.5f);
vertMaterials[11] = v010 | v011;*/
}
for (int i=0;triTable[iCubeIndex][i]!=-1;i+=3)
{
boost::uint32_t ind0 = indlist[triTable[iCubeIndex][i ]];
boost::uint32_t ind1 = indlist[triTable[iCubeIndex][i+1]];
boost::uint32_t ind2 = indlist[triTable[iCubeIndex][i+2]];
vecTriangleIndices.push_back(ind0);
vecTriangleIndices.push_back(ind1);
vecTriangleIndices.push_back(ind2);
//The three vertices forming a triangle
/*const Vector3DFloat vertex0 = vertlist[triTable[iCubeIndex][i ]] - offset;
const Vector3DFloat vertex1 = vertlist[triTable[iCubeIndex][i+1]] - offset;
const Vector3DFloat vertex2 = vertlist[triTable[iCubeIndex][i+2]] - offset;
const uint8_t material0 = vertMaterials[triTable[iCubeIndex][i ]];
const uint8_t material1 = vertMaterials[triTable[iCubeIndex][i+1]];
const uint8_t material2 = vertMaterials[triTable[iCubeIndex][i+2]];
SurfaceVertex surfaceVertex0Alpha1(vertex0,material0 + 0.1f,1.0f);
SurfaceVertex surfaceVertex1Alpha1(vertex1,material1 + 0.1f,1.0f);
SurfaceVertex surfaceVertex2Alpha1(vertex2,material2 + 0.1f,1.0f);
singleMaterialPatch->addTriangle(surfaceVertex0Alpha1, surfaceVertex1Alpha1, surfaceVertex2Alpha1);*/
}//For each triangle
}//For each cell
//FIXME - can it happen that we have no vertices or triangles? Should exit early?
singleMaterialPatch->m_vecVertices = vecVertices;
singleMaterialPatch->m_vecTriangleIndices = vecTriangleIndices;
//for(std::map<uint8_t, IndexedSurfacePatch*>::iterator iterPatch = surfacePatchMapResult.begin(); iterPatch != surfacePatchMapResult.end(); ++iterPatch)
{
std::vector<SurfaceVertex>::iterator iterSurfaceVertex = singleMaterialPatch->getVertices().begin();
while(iterSurfaceVertex != singleMaterialPatch->getVertices().end())
{
Vector3DFloat tempNormal = computeNormal(volumeData, static_cast<Vector3DFloat>(iterSurfaceVertex->getPosition() + offset), CENTRAL_DIFFERENCE);
const_cast<SurfaceVertex&>(*iterSurfaceVertex).setNormal(tempNormal);
++iterSurfaceVertex;
}
}
}
void generateRoughMeshDataForRegion(BlockVolume<uint8_t>* volumeData, Region region, IndexedSurfacePatch* singleMaterialPatch)
{
//When generating the mesh for a region we actually look one voxel outside it in the
// back, bottom, right direction. Protect against access violations by cropping region here
Region regVolume = volumeData->getEnclosingRegion();
//regVolume.setUpperCorner(regVolume.getUpperCorner() - Vector3DInt32(1,1,1));
region.cropTo(regVolume);
region.setUpperCorner(region.getUpperCorner() - Vector3DInt32(1,1,1));
//Offset from lower block corner
const Vector3DFloat offset = static_cast<Vector3DFloat>(region.getLowerCorner());
@ -60,7 +446,8 @@ namespace PolyVox
//////////////////////////////////////////////////////////////////////////
//Iterate over each cell in the region
for(volIter.setPosition(region.getLowerCorner().getX(),region.getLowerCorner().getY(), region.getLowerCorner().getZ());volIter.isValidForRegion();volIter.moveForwardInRegion())
volIter.setPosition(region.getLowerCorner().getX(),region.getLowerCorner().getY(), region.getLowerCorner().getZ());
while(volIter.moveForwardInRegionXYZ())
{
//Current position
const uint16_t x = volIter.getPosX();
@ -339,7 +726,7 @@ namespace PolyVox
//////////////////////////////////////////////////////////////////////////
//Iterate over each cell in the region
for(volIter.setPosition(region.getLowerCorner().getX(),region.getLowerCorner().getY(), region.getLowerCorner().getZ());volIter.isValidForRegion();volIter.moveForwardInRegion())
for(volIter.setPosition(region.getLowerCorner().getX(),region.getLowerCorner().getY(), region.getLowerCorner().getZ());volIter.isValidForRegion();volIter.moveForwardInRegionXYZ())
{
//Current position
const uint16_t x = volIter.getPosX();

12
source/VolumeChangeTracker.cpp
View File

@ -65,22 +65,22 @@ namespace PolyVox
//Regenerate meshes.
for(uint16_t regionZ = 0; regionZ < POLYVOX_VOLUME_SIDE_LENGTH_IN_REGIONS; ++regionZ)
//for(uint16_t regionZ = 6; regionZ < 7; ++regionZ)
//for(uint16_t regionZ = 0; regionZ < 1; ++regionZ)
{
for(uint16_t regionY = 0; regionY < POLYVOX_VOLUME_SIDE_LENGTH_IN_REGIONS; ++regionY)
//for(uint16_t regionY = 6; regionY < 7; ++regionY)
//for(uint16_t regionY = 0; regionY < 2; ++regionY)
{
for(uint16_t regionX = 0; regionX < POLYVOX_VOLUME_SIDE_LENGTH_IN_REGIONS; ++regionX)
//for(uint16_t regionX = 3; regionX < 4; ++regionX)
//for(uint16_t regionX = 0; regionX < 2; ++regionX)
{
if(volRegionUpToDate->getVoxelAt(regionX, regionY, regionZ) == false)
{
const uint16_t firstX = regionX * POLYVOX_REGION_SIDE_LENGTH;
const uint16_t firstY = regionY * POLYVOX_REGION_SIDE_LENGTH;
const uint16_t firstZ = regionZ * POLYVOX_REGION_SIDE_LENGTH;
const uint16_t lastX = firstX + POLYVOX_REGION_SIDE_LENGTH-1;
const uint16_t lastY = firstY + POLYVOX_REGION_SIDE_LENGTH-1;
const uint16_t lastZ = firstZ + POLYVOX_REGION_SIDE_LENGTH-1;
const uint16_t lastX = firstX + POLYVOX_REGION_SIDE_LENGTH;
const uint16_t lastY = firstY + POLYVOX_REGION_SIDE_LENGTH;
const uint16_t lastZ = firstZ + POLYVOX_REGION_SIDE_LENGTH;
listToFill.push_back(Region(Vector3DInt32(firstX, firstY, firstZ), Vector3DInt32(lastX, lastY, lastZ)));
}