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/*******************************************************************************
Copyright (c) 2005-2009 David Williams
This software is provided 'as-is', without any express or implied
warranty. In no event will the authors be held liable for any damages
arising from the use of this software.
Permission is granted to anyone to use this software for any purpose,
including commercial applications, and to alter it and redistribute it
freely, subject to the following restrictions:
1. The origin of this software must not be misrepresented; you must not
claim that you wrote the original software. If you use this software
in a product, an acknowledgment in the product documentation would be
appreciated but is not required.
2. Altered source versions must be plainly marked as such, and must not be
misrepresented as being the original software.
3. This notice may not be removed or altered from any source
distribution.
*******************************************************************************/
#ifndef __PolyVox_SurfaceExtractor_H__
#define __PolyVox_SurfaceExtractor_H__
#include "PolyVoxImpl/MarchingCubesTables.h"
#include "PolyVoxImpl/TypeDef.h"
#include "PolyVoxCore/Array.h"
#include "PolyVoxCore/SurfaceMesh.h"
#include "PolyVoxCore/MarchingCubesController.h"
namespace PolyVox
{
template< typename VolumeType, typename Controller = MarchingCubesController<typename VolumeType::VoxelType> >
class MarchingCubesSurfaceExtractor
{
public:
MarchingCubesSurfaceExtractor(VolumeType* volData, Region region, SurfaceMesh<PositionMaterialNormal>* result, Controller controller = Controller());
void execute();
private:
//Compute the cell bitmask for a particular slice in z.
template<bool isPrevZAvail>
uint32_t computeBitmaskForSlice(const Array2DUint8& pPreviousBitmask, Array2DUint8& pCurrentBitmask);
//Compute the cell bitmask for a given cell.
template<bool isPrevXAvail, bool isPrevYAvail, bool isPrevZAvail>
void computeBitmaskForCell(const Array2DUint8& pPreviousBitmask, Array2DUint8& pCurrentBitmask);
//Use the cell bitmasks to generate all the vertices needed for that slice
void generateVerticesForSlice(const Array2DUint8& pCurrentBitmask,
Array2DInt32& m_pCurrentVertexIndicesX,
Array2DInt32& m_pCurrentVertexIndicesY,
Array2DInt32& m_pCurrentVertexIndicesZ);
////////////////////////////////////////////////////////////////////////////////
// NOTE: These two functions are in the .h file rather than the .inl due to an apparent bug in VC2010.
//See http://stackoverflow.com/questions/1484885/strange-vc-compile-error-c2244 for details.
////////////////////////////////////////////////////////////////////////////////
Vector3DFloat computeCentralDifferenceGradient(const typename VolumeType::Sampler& volIter)
{
//FIXME - Should actually use DensityType here, both in principle and because the maths may be
//faster (and to reduce casts). So it would be good to add a way to get DensityType from a voxel.
//But watch out for when the DensityType is unsigned and the difference could be negative.
float voxel1nx = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1nx0py0pz()));
float voxel1px = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1px0py0pz()));
float voxel1ny = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel0px1ny0pz()));
float voxel1py = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel0px1py0pz()));
float voxel1nz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel0px0py1nz()));
float voxel1pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel0px0py1pz()));
return Vector3DFloat
(
voxel1nx - voxel1px,
voxel1ny - voxel1py,
voxel1nz - voxel1pz
);
}
Vector3DFloat computeSobelGradient(const typename VolumeType::Sampler& volIter)
{
static const int weights[3][3][3] = { { {2,3,2}, {3,6,3}, {2,3,2} }, {
{3,6,3}, {6,0,6}, {3,6,3} }, { {2,3,2}, {3,6,3}, {2,3,2} } };
//FIXME - Should actually use DensityType here, both in principle and because the maths may be
//faster (and to reduce casts). So it would be good to add a way to get DensityType from a voxel.
//But watch out for when the DensityType is unsigned and the difference could be negative.
const float pVoxel1nx1ny1nz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1nx1ny1nz()));
const float pVoxel1nx1ny0pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1nx1ny0pz()));
const float pVoxel1nx1ny1pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1nx1ny1pz()));
const float pVoxel1nx0py1nz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1nx0py1nz()));
const float pVoxel1nx0py0pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1nx0py0pz()));
const float pVoxel1nx0py1pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1nx0py1pz()));
const float pVoxel1nx1py1nz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1nx1py1nz()));
const float pVoxel1nx1py0pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1nx1py0pz()));
const float pVoxel1nx1py1pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1nx1py1pz()));
const float pVoxel0px1ny1nz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel0px1ny1nz()));
const float pVoxel0px1ny0pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel0px1ny0pz()));
const float pVoxel0px1ny1pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel0px1ny1pz()));
const float pVoxel0px0py1nz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel0px0py1nz()));
//const float pVoxel0px0py0pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel0px0py0pz()));
const float pVoxel0px0py1pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel0px0py1pz()));
const float pVoxel0px1py1nz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel0px1py1nz()));
const float pVoxel0px1py0pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel0px1py0pz()));
const float pVoxel0px1py1pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel0px1py1pz()));
const float pVoxel1px1ny1nz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1px1ny1nz()));
const float pVoxel1px1ny0pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1px1ny0pz()));
const float pVoxel1px1ny1pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1px1ny1pz()));
const float pVoxel1px0py1nz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1px0py1nz()));
const float pVoxel1px0py0pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1px0py0pz()));
const float pVoxel1px0py1pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1px0py1pz()));
const float pVoxel1px1py1nz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1px1py1nz()));
const float pVoxel1px1py0pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1px1py0pz()));
const float pVoxel1px1py1pz = static_cast<float>(m_controller.convertToDensity(volIter.peekVoxel1px1py1pz()));
const float xGrad(- weights[0][0][0] * pVoxel1nx1ny1nz -
weights[1][0][0] * pVoxel1nx1ny0pz - weights[2][0][0] *
pVoxel1nx1ny1pz - weights[0][1][0] * pVoxel1nx0py1nz -
weights[1][1][0] * pVoxel1nx0py0pz - weights[2][1][0] *
pVoxel1nx0py1pz - weights[0][2][0] * pVoxel1nx1py1nz -
weights[1][2][0] * pVoxel1nx1py0pz - weights[2][2][0] *
pVoxel1nx1py1pz + weights[0][0][2] * pVoxel1px1ny1nz +
weights[1][0][2] * pVoxel1px1ny0pz + weights[2][0][2] *
pVoxel1px1ny1pz + weights[0][1][2] * pVoxel1px0py1nz +
weights[1][1][2] * pVoxel1px0py0pz + weights[2][1][2] *
pVoxel1px0py1pz + weights[0][2][2] * pVoxel1px1py1nz +
weights[1][2][2] * pVoxel1px1py0pz + weights[2][2][2] *
pVoxel1px1py1pz);
const float yGrad(- weights[0][0][0] * pVoxel1nx1ny1nz -
weights[1][0][0] * pVoxel1nx1ny0pz - weights[2][0][0] *
pVoxel1nx1ny1pz + weights[0][2][0] * pVoxel1nx1py1nz +
weights[1][2][0] * pVoxel1nx1py0pz + weights[2][2][0] *
pVoxel1nx1py1pz - weights[0][0][1] * pVoxel0px1ny1nz -
weights[1][0][1] * pVoxel0px1ny0pz - weights[2][0][1] *
pVoxel0px1ny1pz + weights[0][2][1] * pVoxel0px1py1nz +
weights[1][2][1] * pVoxel0px1py0pz + weights[2][2][1] *
pVoxel0px1py1pz - weights[0][0][2] * pVoxel1px1ny1nz -
weights[1][0][2] * pVoxel1px1ny0pz - weights[2][0][2] *
pVoxel1px1ny1pz + weights[0][2][2] * pVoxel1px1py1nz +
weights[1][2][2] * pVoxel1px1py0pz + weights[2][2][2] *
pVoxel1px1py1pz);
const float zGrad(- weights[0][0][0] * pVoxel1nx1ny1nz +
weights[2][0][0] * pVoxel1nx1ny1pz - weights[0][1][0] *
pVoxel1nx0py1nz + weights[2][1][0] * pVoxel1nx0py1pz -
weights[0][2][0] * pVoxel1nx1py1nz + weights[2][2][0] *
pVoxel1nx1py1pz - weights[0][0][1] * pVoxel0px1ny1nz +
weights[2][0][1] * pVoxel0px1ny1pz - weights[0][1][1] *
pVoxel0px0py1nz + weights[2][1][1] * pVoxel0px0py1pz -
weights[0][2][1] * pVoxel0px1py1nz + weights[2][2][1] *
pVoxel0px1py1pz - weights[0][0][2] * pVoxel1px1ny1nz +
weights[2][0][2] * pVoxel1px1ny1pz - weights[0][1][2] *
pVoxel1px0py1nz + weights[2][1][2] * pVoxel1px0py1pz -
weights[0][2][2] * pVoxel1px1py1nz + weights[2][2][2] *
pVoxel1px1py1pz);
//Note: The above actually give gradients going from low density to high density.
//For our normals we want the the other way around, so we switch the components as we return them.
return Vector3DFloat(-xGrad,-yGrad,-zGrad);
}
////////////////////////////////////////////////////////////////////////////////
// End of compiler bug workaroumd.
////////////////////////////////////////////////////////////////////////////////
//Use the cell bitmasks to generate all the indices needed for that slice
void generateIndicesForSlice(const Array2DUint8& pPreviousBitmask,
const Array2DInt32& m_pPreviousVertexIndicesX,
const Array2DInt32& m_pPreviousVertexIndicesY,
const Array2DInt32& m_pPreviousVertexIndicesZ,
const Array2DInt32& m_pCurrentVertexIndicesX,
const Array2DInt32& m_pCurrentVertexIndicesY);
//The volume data and a sampler to access it.
VolumeType* m_volData;
typename VolumeType::Sampler m_sampVolume;
//Holds a position in volume space.
int32_t iXVolSpace;
int32_t iYVolSpace;
int32_t iZVolSpace;
//Holds a position in region space.
uint32_t uXRegSpace;
uint32_t uYRegSpace;
uint32_t uZRegSpace;
//Used to return the number of cells in a slice which contain triangles.
uint32_t m_uNoOfOccupiedCells;
//The surface patch we are currently filling.
SurfaceMesh<PositionMaterialNormal>* m_meshCurrent;
//Information about the region we are currently processing
Region m_regSizeInVoxels;
Region m_regSizeInCells;
/*Region m_regSizeInVoxelsCropped;
Region m_regSizeInVoxelsUncropped;
Region m_regVolumeCropped;*/
Region m_regSlicePrevious;
Region m_regSliceCurrent;
//Our threshold value
//typename VoxelTypeTraits<typename VolumeType::VoxelType>::DensityType m_tThreshold;
typename MarchingCubesController<typename VolumeType::VoxelType>::DensityType m_tThreshold;
//Used to convert arbitrary voxel types in densities and materials.
//MarchingCubesController<typename VolumeType::VoxelType> m_controller;
Controller m_controller;
};
}
#include "PolyVoxCore/MarchingCubesSurfaceExtractor.inl"
#endif

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/*******************************************************************************
Copyright (c) 2005-2009 David Williams
This software is provided 'as-is', without any express or implied
warranty. In no event will the authors be held liable for any damages
arising from the use of this software.
Permission is granted to anyone to use this software for any purpose,
including commercial applications, and to alter it and redistribute it
freely, subject to the following restrictions:
1. The origin of this software must not be misrepresented; you must not
claim that you wrote the original software. If you use this software
in a product, an acknowledgment in the product documentation would be
appreciated but is not required.
2. Altered source versions must be plainly marked as such, and must not be
misrepresented as being the original software.
3. This notice may not be removed or altered from any source
distribution.
*******************************************************************************/
namespace PolyVox
{
template<typename VolumeType, typename Controller>
MarchingCubesSurfaceExtractor<VolumeType, Controller>::MarchingCubesSurfaceExtractor(VolumeType* volData, Region region, SurfaceMesh<PositionMaterialNormal>* result, Controller controller)
:m_volData(volData)
,m_sampVolume(volData)
,m_meshCurrent(result)
,m_regSizeInVoxels(region)
{
//m_regSizeInVoxels.cropTo(m_volData->getEnclosingRegion());
m_regSizeInCells = m_regSizeInVoxels;
m_regSizeInCells.setUpperCorner(m_regSizeInCells.getUpperCorner() - Vector3DInt32(1,1,1));
m_controller = controller;
m_tThreshold = m_controller.getThreshold();
}
template<typename VolumeType, typename Controller>
void MarchingCubesSurfaceExtractor<VolumeType, Controller>::execute()
{
m_meshCurrent->clear();
uint32_t uArrayWidth = m_regSizeInVoxels.getUpperCorner().getX() - m_regSizeInVoxels.getLowerCorner().getX() + 1;
uint32_t uArrayHeight = m_regSizeInVoxels.getUpperCorner().getY() - m_regSizeInVoxels.getLowerCorner().getY() + 1;
uint32_t arraySizes[2]= {uArrayWidth, uArrayHeight}; // Array dimensions
//For edge indices
Array2DInt32 m_pPreviousVertexIndicesX(arraySizes);
Array2DInt32 m_pPreviousVertexIndicesY(arraySizes);
Array2DInt32 m_pPreviousVertexIndicesZ(arraySizes);
Array2DInt32 m_pCurrentVertexIndicesX(arraySizes);
Array2DInt32 m_pCurrentVertexIndicesY(arraySizes);
Array2DInt32 m_pCurrentVertexIndicesZ(arraySizes);
Array2DUint8 pPreviousBitmask(arraySizes);
Array2DUint8 pCurrentBitmask(arraySizes);
//Create a region corresponding to the first slice
m_regSlicePrevious = m_regSizeInVoxels;
Vector3DInt32 v3dUpperCorner = m_regSlicePrevious.getUpperCorner();
v3dUpperCorner.setZ(m_regSlicePrevious.getLowerCorner().getZ()); //Set the upper z to the lower z to make it one slice thick.
m_regSlicePrevious.setUpperCorner(v3dUpperCorner);
m_regSliceCurrent = m_regSlicePrevious;
uint32_t uNoOfNonEmptyCellsForSlice0 = 0;
uint32_t uNoOfNonEmptyCellsForSlice1 = 0;
//Process the first slice (previous slice not available)
computeBitmaskForSlice<false>(pPreviousBitmask, pCurrentBitmask);
uNoOfNonEmptyCellsForSlice1 = m_uNoOfOccupiedCells;
if(uNoOfNonEmptyCellsForSlice1 != 0)
{
memset(m_pCurrentVertexIndicesX.getRawData(), 0xff, m_pCurrentVertexIndicesX.getNoOfElements() * 4);
memset(m_pCurrentVertexIndicesY.getRawData(), 0xff, m_pCurrentVertexIndicesY.getNoOfElements() * 4);
memset(m_pCurrentVertexIndicesZ.getRawData(), 0xff, m_pCurrentVertexIndicesZ.getNoOfElements() * 4);
generateVerticesForSlice(pCurrentBitmask, m_pCurrentVertexIndicesX, m_pCurrentVertexIndicesY, m_pCurrentVertexIndicesZ);
}
std::swap(uNoOfNonEmptyCellsForSlice0, uNoOfNonEmptyCellsForSlice1);
pPreviousBitmask.swap(pCurrentBitmask);
m_pPreviousVertexIndicesX.swap(m_pCurrentVertexIndicesX);
m_pPreviousVertexIndicesY.swap(m_pCurrentVertexIndicesY);
m_pPreviousVertexIndicesZ.swap(m_pCurrentVertexIndicesZ);
m_regSlicePrevious = m_regSliceCurrent;
m_regSliceCurrent.shift(Vector3DInt32(0,0,1));
//Process the other slices (previous slice is available)
for(int32_t uSlice = 1; uSlice <= m_regSizeInVoxels.getUpperCorner().getZ() - m_regSizeInVoxels.getLowerCorner().getZ(); uSlice++)
{
computeBitmaskForSlice<true>(pPreviousBitmask, pCurrentBitmask);
uNoOfNonEmptyCellsForSlice1 = m_uNoOfOccupiedCells;
if(uNoOfNonEmptyCellsForSlice1 != 0)
{
memset(m_pCurrentVertexIndicesX.getRawData(), 0xff, m_pCurrentVertexIndicesX.getNoOfElements() * 4);
memset(m_pCurrentVertexIndicesY.getRawData(), 0xff, m_pCurrentVertexIndicesY.getNoOfElements() * 4);
memset(m_pCurrentVertexIndicesZ.getRawData(), 0xff, m_pCurrentVertexIndicesZ.getNoOfElements() * 4);
generateVerticesForSlice(pCurrentBitmask, m_pCurrentVertexIndicesX, m_pCurrentVertexIndicesY, m_pCurrentVertexIndicesZ);
}
if((uNoOfNonEmptyCellsForSlice0 != 0) || (uNoOfNonEmptyCellsForSlice1 != 0))
{
generateIndicesForSlice(pPreviousBitmask, m_pPreviousVertexIndicesX, m_pPreviousVertexIndicesY, m_pPreviousVertexIndicesZ, m_pCurrentVertexIndicesX, m_pCurrentVertexIndicesY);
}
std::swap(uNoOfNonEmptyCellsForSlice0, uNoOfNonEmptyCellsForSlice1);
pPreviousBitmask.swap(pCurrentBitmask);
m_pPreviousVertexIndicesX.swap(m_pCurrentVertexIndicesX);
m_pPreviousVertexIndicesY.swap(m_pCurrentVertexIndicesY);
m_pPreviousVertexIndicesZ.swap(m_pCurrentVertexIndicesZ);
m_regSlicePrevious = m_regSliceCurrent;
m_regSliceCurrent.shift(Vector3DInt32(0,0,1));
}
m_meshCurrent->m_Region = m_regSizeInVoxels;
m_meshCurrent->m_vecLodRecords.clear();
LodRecord lodRecord;
lodRecord.beginIndex = 0;
lodRecord.endIndex = m_meshCurrent->getNoOfIndices();
m_meshCurrent->m_vecLodRecords.push_back(lodRecord);
}
template<typename VolumeType, typename Controller>
template<bool isPrevZAvail>
uint32_t MarchingCubesSurfaceExtractor<VolumeType, Controller>::computeBitmaskForSlice(const Array2DUint8& pPreviousBitmask, Array2DUint8& pCurrentBitmask)
{
m_uNoOfOccupiedCells = 0;
const int32_t iMaxXVolSpace = m_regSliceCurrent.getUpperCorner().getX();
const int32_t iMaxYVolSpace = m_regSliceCurrent.getUpperCorner().getY();
iZVolSpace = m_regSliceCurrent.getLowerCorner().getZ();
uZRegSpace = iZVolSpace - m_regSizeInVoxels.getLowerCorner().getZ();
//Process the lower left corner
iYVolSpace = m_regSliceCurrent.getLowerCorner().getY();
iXVolSpace = m_regSliceCurrent.getLowerCorner().getX();
uXRegSpace = iXVolSpace - m_regSizeInVoxels.getLowerCorner().getX();
uYRegSpace = iYVolSpace - m_regSizeInVoxels.getLowerCorner().getY();
m_sampVolume.setPosition(iXVolSpace,iYVolSpace,iZVolSpace);
computeBitmaskForCell<false, false, isPrevZAvail>(pPreviousBitmask, pCurrentBitmask);
//Process the edge where x is minimal.
iXVolSpace = m_regSliceCurrent.getLowerCorner().getX();
m_sampVolume.setPosition(iXVolSpace, m_regSliceCurrent.getLowerCorner().getY(), iZVolSpace);
for(iYVolSpace = m_regSliceCurrent.getLowerCorner().getY() + 1; iYVolSpace <= iMaxYVolSpace; iYVolSpace++)
{
uXRegSpace = iXVolSpace - m_regSizeInVoxels.getLowerCorner().getX();
uYRegSpace = iYVolSpace - m_regSizeInVoxels.getLowerCorner().getY();
m_sampVolume.movePositiveY();
computeBitmaskForCell<false, true, isPrevZAvail>(pPreviousBitmask, pCurrentBitmask);
}
//Process the edge where y is minimal.
iYVolSpace = m_regSliceCurrent.getLowerCorner().getY();
m_sampVolume.setPosition(m_regSliceCurrent.getLowerCorner().getX(), iYVolSpace, iZVolSpace);
for(iXVolSpace = m_regSliceCurrent.getLowerCorner().getX() + 1; iXVolSpace <= iMaxXVolSpace; iXVolSpace++)
{
uXRegSpace = iXVolSpace - m_regSizeInVoxels.getLowerCorner().getX();
uYRegSpace = iYVolSpace - m_regSizeInVoxels.getLowerCorner().getY();
m_sampVolume.movePositiveX();
computeBitmaskForCell<true, false, isPrevZAvail>(pPreviousBitmask, pCurrentBitmask);
}
//Process all remaining elemnents of the slice. In this case, previous x and y values are always available
for(iYVolSpace = m_regSliceCurrent.getLowerCorner().getY() + 1; iYVolSpace <= iMaxYVolSpace; iYVolSpace++)
{
m_sampVolume.setPosition(m_regSliceCurrent.getLowerCorner().getX(), iYVolSpace, iZVolSpace);
for(iXVolSpace = m_regSliceCurrent.getLowerCorner().getX() + 1; iXVolSpace <= iMaxXVolSpace; iXVolSpace++)
{
uXRegSpace = iXVolSpace - m_regSizeInVoxels.getLowerCorner().getX();
uYRegSpace = iYVolSpace - m_regSizeInVoxels.getLowerCorner().getY();
m_sampVolume.movePositiveX();
computeBitmaskForCell<true, true, isPrevZAvail>(pPreviousBitmask, pCurrentBitmask);
}
}
return m_uNoOfOccupiedCells;
}
template<typename VolumeType, typename Controller>
template<bool isPrevXAvail, bool isPrevYAvail, bool isPrevZAvail>
void MarchingCubesSurfaceExtractor<VolumeType, Controller>::computeBitmaskForCell(const Array2DUint8& pPreviousBitmask, Array2DUint8& pCurrentBitmask)
{
uint8_t iCubeIndex = 0;
typename VolumeType::VoxelType v000;
typename VolumeType::VoxelType v100;
typename VolumeType::VoxelType v010;
typename VolumeType::VoxelType v110;
typename VolumeType::VoxelType v001;
typename VolumeType::VoxelType v101;
typename VolumeType::VoxelType v011;
typename VolumeType::VoxelType v111;
if(isPrevZAvail)
{
if(isPrevYAvail)
{
if(isPrevXAvail)
{
v111 = m_sampVolume.peekVoxel1px1py1pz();
//z
uint8_t iPreviousCubeIndexZ = pPreviousBitmask[uXRegSpace][uYRegSpace];
iPreviousCubeIndexZ >>= 4;
//y
uint8_t iPreviousCubeIndexY = pCurrentBitmask[uXRegSpace][uYRegSpace-1];
iPreviousCubeIndexY &= 192; //192 = 128 + 64
iPreviousCubeIndexY >>= 2;
//x
uint8_t iPreviousCubeIndexX = pCurrentBitmask[uXRegSpace-1][uYRegSpace];
iPreviousCubeIndexX &= 128;
iPreviousCubeIndexX >>= 1;
iCubeIndex = iPreviousCubeIndexX | iPreviousCubeIndexY | iPreviousCubeIndexZ;
if (m_controller.convertToDensity(v111) < m_tThreshold) iCubeIndex |= 128;
}
else //previous X not available
{
v011 = m_sampVolume.peekVoxel0px1py1pz();
v111 = m_sampVolume.peekVoxel1px1py1pz();
//z
uint8_t iPreviousCubeIndexZ = pPreviousBitmask[uXRegSpace][uYRegSpace];
iPreviousCubeIndexZ >>= 4;
//y
uint8_t iPreviousCubeIndexY = pCurrentBitmask[uXRegSpace][uYRegSpace-1];
iPreviousCubeIndexY &= 192; //192 = 128 + 64
iPreviousCubeIndexY >>= 2;
iCubeIndex = iPreviousCubeIndexY | iPreviousCubeIndexZ;
if (m_controller.convertToDensity(v011) < m_tThreshold) iCubeIndex |= 64;
if (m_controller.convertToDensity(v111) < m_tThreshold) iCubeIndex |= 128;
}
}
else //previous Y not available
{
if(isPrevXAvail)
{
v101 = m_sampVolume.peekVoxel1px0py1pz();
v111 = m_sampVolume.peekVoxel1px1py1pz();
//z
uint8_t iPreviousCubeIndexZ = pPreviousBitmask[uXRegSpace][uYRegSpace];
iPreviousCubeIndexZ >>= 4;
//x
uint8_t iPreviousCubeIndexX = pCurrentBitmask[uXRegSpace-1][uYRegSpace];
iPreviousCubeIndexX &= 160; //160 = 128+32
iPreviousCubeIndexX >>= 1;
iCubeIndex = iPreviousCubeIndexX | iPreviousCubeIndexZ;
if (m_controller.convertToDensity(v101) < m_tThreshold) iCubeIndex |= 32;
if (m_controller.convertToDensity(v111) < m_tThreshold) iCubeIndex |= 128;
}
else //previous X not available
{
v001 = m_sampVolume.peekVoxel0px0py1pz();
v101 = m_sampVolume.peekVoxel1px0py1pz();
v011 = m_sampVolume.peekVoxel0px1py1pz();
v111 = m_sampVolume.peekVoxel1px1py1pz();
//z
uint8_t iPreviousCubeIndexZ = pPreviousBitmask[uXRegSpace][uYRegSpace];
iCubeIndex = iPreviousCubeIndexZ >> 4;
if (m_controller.convertToDensity(v001) < m_tThreshold) iCubeIndex |= 16;
if (m_controller.convertToDensity(v101) < m_tThreshold) iCubeIndex |= 32;
if (m_controller.convertToDensity(v011) < m_tThreshold) iCubeIndex |= 64;
if (m_controller.convertToDensity(v111) < m_tThreshold) iCubeIndex |= 128;
}
}
}
else //previous Z not available
{
if(isPrevYAvail)
{
if(isPrevXAvail)
{
v110 = m_sampVolume.peekVoxel1px1py0pz();
v111 = m_sampVolume.peekVoxel1px1py1pz();
//y
uint8_t iPreviousCubeIndexY = pCurrentBitmask[uXRegSpace][uYRegSpace-1];
iPreviousCubeIndexY &= 204; //204 = 128+64+8+4
iPreviousCubeIndexY >>= 2;
//x
uint8_t iPreviousCubeIndexX = pCurrentBitmask[uXRegSpace-1][uYRegSpace];
iPreviousCubeIndexX &= 170; //170 = 128+32+8+2
iPreviousCubeIndexX >>= 1;
iCubeIndex = iPreviousCubeIndexX | iPreviousCubeIndexY;
if (m_controller.convertToDensity(v110) < m_tThreshold) iCubeIndex |= 8;
if (m_controller.convertToDensity(v111) < m_tThreshold) iCubeIndex |= 128;
}
else //previous X not available
{
v010 = m_sampVolume.peekVoxel0px1py0pz();
v110 = m_sampVolume.peekVoxel1px1py0pz();
v011 = m_sampVolume.peekVoxel0px1py1pz();
v111 = m_sampVolume.peekVoxel1px1py1pz();
//y
uint8_t iPreviousCubeIndexY = pCurrentBitmask[uXRegSpace][uYRegSpace-1];
iPreviousCubeIndexY &= 204; //204 = 128+64+8+4
iPreviousCubeIndexY >>= 2;
iCubeIndex = iPreviousCubeIndexY;
if (m_controller.convertToDensity(v010) < m_tThreshold) iCubeIndex |= 4;
if (m_controller.convertToDensity(v110) < m_tThreshold) iCubeIndex |= 8;
if (m_controller.convertToDensity(v011) < m_tThreshold) iCubeIndex |= 64;
if (m_controller.convertToDensity(v111) < m_tThreshold) iCubeIndex |= 128;
}
}
else //previous Y not available
{
if(isPrevXAvail)
{
v100 = m_sampVolume.peekVoxel1px0py0pz();
v110 = m_sampVolume.peekVoxel1px1py0pz();
v101 = m_sampVolume.peekVoxel1px0py1pz();
v111 = m_sampVolume.peekVoxel1px1py1pz();
//x
uint8_t iPreviousCubeIndexX = pCurrentBitmask[uXRegSpace-1][uYRegSpace];
iPreviousCubeIndexX &= 170; //170 = 128+32+8+2
iPreviousCubeIndexX >>= 1;
iCubeIndex = iPreviousCubeIndexX;
if (m_controller.convertToDensity(v100) < m_tThreshold) iCubeIndex |= 2;
if (m_controller.convertToDensity(v110) < m_tThreshold) iCubeIndex |= 8;
if (m_controller.convertToDensity(v101) < m_tThreshold) iCubeIndex |= 32;
if (m_controller.convertToDensity(v111) < m_tThreshold) iCubeIndex |= 128;
}
else //previous X not available
{
v000 = m_sampVolume.getVoxel();
v100 = m_sampVolume.peekVoxel1px0py0pz();
v010 = m_sampVolume.peekVoxel0px1py0pz();
v110 = m_sampVolume.peekVoxel1px1py0pz();
v001 = m_sampVolume.peekVoxel0px0py1pz();
v101 = m_sampVolume.peekVoxel1px0py1pz();
v011 = m_sampVolume.peekVoxel0px1py1pz();
v111 = m_sampVolume.peekVoxel1px1py1pz();
if (m_controller.convertToDensity(v000) < m_tThreshold) iCubeIndex |= 1;
if (m_controller.convertToDensity(v100) < m_tThreshold) iCubeIndex |= 2;
if (m_controller.convertToDensity(v010) < m_tThreshold) iCubeIndex |= 4;
if (m_controller.convertToDensity(v110) < m_tThreshold) iCubeIndex |= 8;
if (m_controller.convertToDensity(v001) < m_tThreshold) iCubeIndex |= 16;
if (m_controller.convertToDensity(v101) < m_tThreshold) iCubeIndex |= 32;
if (m_controller.convertToDensity(v011) < m_tThreshold) iCubeIndex |= 64;
if (m_controller.convertToDensity(v111) < m_tThreshold) iCubeIndex |= 128;
}
}
}
//Save the bitmask
pCurrentBitmask[uXRegSpace][iYVolSpace- m_regSizeInVoxels.getLowerCorner().getY()] = iCubeIndex;
if(edgeTable[iCubeIndex] != 0)
{
++m_uNoOfOccupiedCells;
}
}
template<typename VolumeType, typename Controller>
void MarchingCubesSurfaceExtractor<VolumeType, Controller>::generateVerticesForSlice(const Array2DUint8& pCurrentBitmask,
Array2DInt32& m_pCurrentVertexIndicesX,
Array2DInt32& m_pCurrentVertexIndicesY,
Array2DInt32& m_pCurrentVertexIndicesZ)
{
int32_t iZVolSpace = m_regSliceCurrent.getLowerCorner().getZ();
const uint32_t uZRegSpace = iZVolSpace - m_regSizeInVoxels.getLowerCorner().getZ();
//Iterate over each cell in the region
for(int32_t iYVolSpace = m_regSliceCurrent.getLowerCorner().getY(); iYVolSpace <= m_regSliceCurrent.getUpperCorner().getY(); iYVolSpace++)
{
const uint32_t uYRegSpace = iYVolSpace - m_regSizeInVoxels.getLowerCorner().getY();
for(int32_t iXVolSpace = m_regSliceCurrent.getLowerCorner().getX(); iXVolSpace <= m_regSliceCurrent.getUpperCorner().getX(); iXVolSpace++)
{
//Current position
const uint32_t uXRegSpace = iXVolSpace - m_regSizeInVoxels.getLowerCorner().getX();
//Determine the index into the edge table which tells us which vertices are inside of the surface
uint8_t iCubeIndex = pCurrentBitmask[uXRegSpace][uYRegSpace];
/* Cube is entirely in/out of the surface */
if (edgeTable[iCubeIndex] == 0)
{
continue;
}
//Check whether the generated vertex will lie on the edge of the region
m_sampVolume.setPosition(iXVolSpace,iYVolSpace,iZVolSpace);
const typename VolumeType::VoxelType v000 = m_sampVolume.getVoxel();
const Vector3DFloat n000 = computeCentralDifferenceGradient(m_sampVolume);
/* Find the vertices where the surface intersects the cube */
if (edgeTable[iCubeIndex] & 1)
{
m_sampVolume.movePositiveX();
const typename VolumeType::VoxelType v100 = m_sampVolume.getVoxel();
const Vector3DFloat n100 = computeCentralDifferenceGradient(m_sampVolume);
float fInterp = static_cast<float>(m_tThreshold - m_controller.convertToDensity(v000)) / static_cast<float>(m_controller.convertToDensity(v100) - m_controller.convertToDensity(v000));
const Vector3DFloat v3dPosition(static_cast<float>(iXVolSpace - m_regSizeInVoxels.getLowerCorner().getX()) + fInterp, static_cast<float>(iYVolSpace - m_regSizeInVoxels.getLowerCorner().getY()), static_cast<float>(iZVolSpace - m_regSizeInCells.getLowerCorner().getZ()));
Vector3DFloat v3dNormal = (n100*fInterp) + (n000*(1-fInterp));
v3dNormal.normalise();
//Choose one of the two materials to use for the vertex (we don't interpolate as interpolation of
//material IDs does not make sense). We take the largest, so that if we are working on a material-only
//volume we get the one which is non-zero. Both materials can be non-zero if our volume has a density component.
typename MarchingCubesController<typename VolumeType::VoxelType>::MaterialType uMaterial000 = m_controller.convertToMaterial(v000);
typename MarchingCubesController<typename VolumeType::VoxelType>::MaterialType uMaterial100 = m_controller.convertToMaterial(v100);
typename MarchingCubesController<typename VolumeType::VoxelType>::MaterialType uMaterial = (std::max)(uMaterial000, uMaterial100);
PositionMaterialNormal surfaceVertex(v3dPosition, v3dNormal, static_cast<float>(uMaterial));
uint32_t uLastVertexIndex = m_meshCurrent->addVertex(surfaceVertex);
m_pCurrentVertexIndicesX[iXVolSpace - m_regSizeInVoxels.getLowerCorner().getX()][iYVolSpace - m_regSizeInVoxels.getLowerCorner().getY()] = uLastVertexIndex;
m_sampVolume.moveNegativeX();
}
if (edgeTable[iCubeIndex] & 8)
{
m_sampVolume.movePositiveY();
const typename VolumeType::VoxelType v010 = m_sampVolume.getVoxel();
const Vector3DFloat n010 = computeCentralDifferenceGradient(m_sampVolume);
float fInterp = static_cast<float>(m_tThreshold - m_controller.convertToDensity(v000)) / static_cast<float>(m_controller.convertToDensity(v010) - m_controller.convertToDensity(v000));
const Vector3DFloat v3dPosition(static_cast<float>(iXVolSpace - m_regSizeInVoxels.getLowerCorner().getX()), static_cast<float>(iYVolSpace - m_regSizeInVoxels.getLowerCorner().getY()) + fInterp, static_cast<float>(iZVolSpace - m_regSizeInVoxels.getLowerCorner().getZ()));
Vector3DFloat v3dNormal = (n010*fInterp) + (n000*(1-fInterp));
v3dNormal.normalise();
//Choose one of the two materials to use for the vertex (we don't interpolate as interpolation of
//material IDs does not make sense). We take the largest, so that if we are working on a material-only
//volume we get the one which is non-zero. Both materials can be non-zero if our volume has a density component.
typename MarchingCubesController<typename VolumeType::VoxelType>::MaterialType uMaterial000 = m_controller.convertToMaterial(v000);
typename MarchingCubesController<typename VolumeType::VoxelType>::MaterialType uMaterial010 = m_controller.convertToMaterial(v010);
typename MarchingCubesController<typename VolumeType::VoxelType>::MaterialType uMaterial = (std::max)(uMaterial000, uMaterial010);
PositionMaterialNormal surfaceVertex(v3dPosition, v3dNormal, static_cast<float>(uMaterial));
uint32_t uLastVertexIndex = m_meshCurrent->addVertex(surfaceVertex);
m_pCurrentVertexIndicesY[iXVolSpace - m_regSizeInVoxels.getLowerCorner().getX()][iYVolSpace - m_regSizeInVoxels.getLowerCorner().getY()] = uLastVertexIndex;
m_sampVolume.moveNegativeY();
}
if (edgeTable[iCubeIndex] & 256)
{
m_sampVolume.movePositiveZ();
const typename VolumeType::VoxelType v001 = m_sampVolume.getVoxel();
const Vector3DFloat n001 = computeCentralDifferenceGradient(m_sampVolume);
float fInterp = static_cast<float>(m_tThreshold - m_controller.convertToDensity(v000)) / static_cast<float>(m_controller.convertToDensity(v001) - m_controller.convertToDensity(v000));
const Vector3DFloat v3dPosition(static_cast<float>(iXVolSpace - m_regSizeInVoxels.getLowerCorner().getX()), static_cast<float>(iYVolSpace - m_regSizeInVoxels.getLowerCorner().getY()), static_cast<float>(iZVolSpace - m_regSizeInVoxels.getLowerCorner().getZ()) + fInterp);
Vector3DFloat v3dNormal = (n001*fInterp) + (n000*(1-fInterp));
v3dNormal.normalise();
//Choose one of the two materials to use for the vertex (we don't interpolate as interpolation of
//material IDs does not make sense). We take the largest, so that if we are working on a material-only
//volume we get the one which is non-zero. Both materials can be non-zero if our volume has a density component.
typename MarchingCubesController<typename VolumeType::VoxelType>::MaterialType uMaterial000 = m_controller.convertToMaterial(v000);
typename MarchingCubesController<typename VolumeType::VoxelType>::MaterialType uMaterial001 = m_controller.convertToMaterial(v001);
typename MarchingCubesController<typename VolumeType::VoxelType>::MaterialType uMaterial = (std::max)(uMaterial000, uMaterial001);
PositionMaterialNormal surfaceVertex(v3dPosition, v3dNormal, static_cast<float>(uMaterial));
uint32_t uLastVertexIndex = m_meshCurrent->addVertex(surfaceVertex);
m_pCurrentVertexIndicesZ[iXVolSpace - m_regSizeInVoxels.getLowerCorner().getX()][iYVolSpace - m_regSizeInVoxels.getLowerCorner().getY()] = uLastVertexIndex;
m_sampVolume.moveNegativeZ();
}
}//For each cell
}
}
template<typename VolumeType, typename Controller>
void MarchingCubesSurfaceExtractor<VolumeType, Controller>::generateIndicesForSlice(const Array2DUint8& pPreviousBitmask,
const Array2DInt32& m_pPreviousVertexIndicesX,
const Array2DInt32& m_pPreviousVertexIndicesY,
const Array2DInt32& m_pPreviousVertexIndicesZ,
const Array2DInt32& m_pCurrentVertexIndicesX,
const Array2DInt32& m_pCurrentVertexIndicesY)
{
int32_t indlist[12];
for(int i = 0; i < 12; i++)
{
indlist[i] = -1;
}
for(int32_t iYVolSpace = m_regSlicePrevious.getLowerCorner().getY(); iYVolSpace <= m_regSizeInCells.getUpperCorner().getY(); iYVolSpace++)
{
for(int32_t iXVolSpace = m_regSlicePrevious.getLowerCorner().getX(); iXVolSpace <= m_regSizeInCells.getUpperCorner().getX(); iXVolSpace++)
{
int32_t iZVolSpace = m_regSlicePrevious.getLowerCorner().getZ();
m_sampVolume.setPosition(iXVolSpace,iYVolSpace,iZVolSpace);
//Current position
const uint32_t uXRegSpace = m_sampVolume.getPosition().getX() - m_regSizeInVoxels.getLowerCorner().getX();
const uint32_t uYRegSpace = m_sampVolume.getPosition().getY() - m_regSizeInVoxels.getLowerCorner().getY();
//Determine the index into the edge table which tells us which vertices are inside of the surface
uint8_t iCubeIndex = pPreviousBitmask[uXRegSpace][uYRegSpace];
/* 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] = m_pPreviousVertexIndicesX[uXRegSpace][uYRegSpace];
//assert(indlist[0] != -1);
}
if (edgeTable[iCubeIndex] & 2)
{
indlist[1] = m_pPreviousVertexIndicesY[uXRegSpace+1][uYRegSpace];
//assert(indlist[1] != -1);
}
if (edgeTable[iCubeIndex] & 4)
{
indlist[2] = m_pPreviousVertexIndicesX[uXRegSpace][uYRegSpace+1];
//assert(indlist[2] != -1);
}
if (edgeTable[iCubeIndex] & 8)
{
indlist[3] = m_pPreviousVertexIndicesY[uXRegSpace][uYRegSpace];
//assert(indlist[3] != -1);
}
if (edgeTable[iCubeIndex] & 16)
{
indlist[4] = m_pCurrentVertexIndicesX[uXRegSpace][uYRegSpace];
//assert(indlist[4] != -1);
}
if (edgeTable[iCubeIndex] & 32)
{
indlist[5] = m_pCurrentVertexIndicesY[uXRegSpace+1][uYRegSpace];
//assert(indlist[5] != -1);
}
if (edgeTable[iCubeIndex] & 64)
{
indlist[6] = m_pCurrentVertexIndicesX[uXRegSpace][uYRegSpace+1];
//assert(indlist[6] != -1);
}
if (edgeTable[iCubeIndex] & 128)
{
indlist[7] = m_pCurrentVertexIndicesY[uXRegSpace][uYRegSpace];
//assert(indlist[7] != -1);
}
if (edgeTable[iCubeIndex] & 256)
{
indlist[8] = m_pPreviousVertexIndicesZ[uXRegSpace][uYRegSpace];
//assert(indlist[8] != -1);
}
if (edgeTable[iCubeIndex] & 512)
{
indlist[9] = m_pPreviousVertexIndicesZ[uXRegSpace+1][uYRegSpace];
//assert(indlist[9] != -1);
}
if (edgeTable[iCubeIndex] & 1024)
{
indlist[10] = m_pPreviousVertexIndicesZ[uXRegSpace+1][uYRegSpace+1];
//assert(indlist[10] != -1);
}
if (edgeTable[iCubeIndex] & 2048)
{
indlist[11] = m_pPreviousVertexIndicesZ[uXRegSpace][uYRegSpace+1];
//assert(indlist[11] != -1);
}
for (int i=0;triTable[iCubeIndex][i]!=-1;i+=3)
{
int32_t ind0 = indlist[triTable[iCubeIndex][i ]];
int32_t ind1 = indlist[triTable[iCubeIndex][i+1]];
int32_t ind2 = indlist[triTable[iCubeIndex][i+2]];
if((ind0 != -1) && (ind1 != -1) && (ind2 != -1))
{
m_meshCurrent->addTriangle(ind0, ind1, ind2);
}
}//For each triangle
}//For each cell
}
}
}