ImplicitCalculations.h
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#include <itkImage.h>
#include <itkImageFileWriter.h>
#include <rtsLinearAlgebra.h>
//#include "DrawingFunctions.h"
#include "rtsFiberNetwork.h"
#include <octree\octree.h>
#include <rts_itkVolume.h>
#include <rtsDTGrid3D.h>
#include <rtsDTGridFastSweeping.h>
#include <algorithm>
/***************************************************
New Stuff
***************************************************/
//networks for analysis
rtsFiberNetwork* goldNetwork;
rtsFiberNetwork* testNetwork;
rtsFiberNetwork* focusNetwork;
//Implicit network representations
rtsDTGrid3D<float>* goldGrid;
rtsDTGrid3D<float>* testGrid;
rtsDTGrid3D<float>* focusGrid;
//lexicographic lists, contains LexIDs for each sampled point as well as identifiers to the associated fiber
struct LexID
{
unsigned long ID;
unsigned int fiber;
bool operator<(LexID &rhs)
{
if(ID < rhs.ID)
return true;
return false;
}
bool operator==(LexID &rhs)
{
if(ID == rhs.ID)
return true;
return false;
}
};
list<LexID> goldLexList;
list<LexID> testLexList;
//standard deviation of the implicit envelope
float STD;
//Size of each grid voxel. This value is defined in Network Space.
float VOXEL_SIZE;
//Theoretical size of the grid. Used to compute the lexicographic identifiers.
vector3D<int> GRID_DIM;
//Transformation matrix that converts Network Space coordinates into Grid Space coordinates.
matrix4x4<float> toGRID;
//Dilation parameter describes the radius of the envelope around the network (in voxels)
int DILATION;
void ComputeGridProperties()
{
/*Computes the following grid properties:
VOXEL_SIZE = the size (along one side) of each voxel "bin"
GRID_DIM = the theoretical dimensions of the grid used to represent the network
toGRID = transformation used to convert a point on the network into "grid space"
*/
//pick a voxel size based on the standard daviation of the envelope that captures the shape of the Gaussian
//lets say that a voxel is 1 standard-deviation wide
VOXEL_SIZE = STD*1.0;
//dilate the DT Grid to 3 standard deviations
DILATION = (3.0*STD)/VOXEL_SIZE;
//find the minimum and maximum points in both networks to get the theoretical grid size
//find the bounding box for both networks
point3D<float> net_min;
net_min.x = min(goldNetwork->min_pos.x, testNetwork->min_pos.x);
net_min.y = min(goldNetwork->min_pos.y, testNetwork->min_pos.y);
net_min.z = min(goldNetwork->min_pos.z, testNetwork->min_pos.z);
point3D<float> net_max;
net_max.x = max(goldNetwork->max_pos.x, testNetwork->max_pos.x);
net_max.y = max(goldNetwork->max_pos.y, testNetwork->max_pos.y);
net_max.z = max(goldNetwork->max_pos.z, testNetwork->max_pos.z);
//compute the spatial size of the network
vector3D<float> net_size = net_max - net_min;
//compute the theoretical size of the grid
GRID_DIM.x = ceil(net_size.x / VOXEL_SIZE);
GRID_DIM.y = ceil(net_size.y / VOXEL_SIZE);
GRID_DIM.z = ceil(net_size.z / VOXEL_SIZE);
//compute the transformation from Network Space to Grid Space
matrix4x4<float> scale;
scale. SetIdentity();
scale.SetScale(1.0/VOXEL_SIZE, 1.0/VOXEL_SIZE, 1.0/VOXEL_SIZE);
matrix4x4<float> trans;
trans.SetIdentity();
trans.SetTranslation(-net_min.x, -net_min.y, -net_min.z);
toGRID.SetIdentity();
toGRID = scale*trans;
cout<<"Voxel Size: "<<VOXEL_SIZE<<endl;
cout<<"Grid Dimensions: "<<GRID_DIM.x<<","<<GRID_DIM.y<<","<<GRID_DIM.z<<endl;
}
void RasterizeSegmentLex(int f, point3D<float> p0, point3D<float> p1, list<LexID>* destList)
{
/*Resamples a segment and stores the resulting points as
lexicographic values in LexicographicList.
*/
//transform the Network Space coordinates to Grid Space
point3D<float> grid_p0 = toGRID*p0;
point3D<float> grid_p1 = toGRID*p1;
//find the direction of travel
vector3D<float> v = grid_p1 - grid_p0;
//set the step size to the voxel size
int length = (int)v.Length();
v.Normalize();
//start at p0, continue until p1
point3D<float> p = grid_p0;
int l;
LexID lex;
for(l=0; l<=length; l++)
{
lex.ID = (unsigned long)p.x*GRID_DIM.y*GRID_DIM.z + (unsigned long)p.y*GRID_DIM.z + (unsigned long)p.z;
lex.fiber = f;
destList->push_back(lex);
p = p + v;
}
}
void RasterizeFiberLex(rtsFiberNetwork* sourceNet, int f, list<LexID>* destList)
{
/*resamples a fiber f and stores the resulting points as
lexicographic values in LexicographicList.
*/
int num_points = sourceNet->FiberList[f].pointList.size();
int p;
point3D<float> pos = sourceNet->getNodeCoord(f, 0);
point3D<float> coord;
for(p=0; p<num_points; p++)
{
coord = sourceNet->getFiberPoint(f, p);
RasterizeSegmentLex(f, pos, coord, destList);
pos = coord;
}
RasterizeSegmentLex(f, pos, sourceNet->getNodeCoord(f, 1), destList);
}
list<LexID> RasterizeNetworkLex(rtsFiberNetwork* sourceNet, rtsDTGrid3D<float>* destGrid)
{
/*This function creates a list of points on the focus network
and stores them in a list as a lexicographic point:
lp = z*sx*sy + y*sx + x
*/
//create a list that stores Lexicographic identifiers
list<LexID> LexicographicList;
int num_fibers = sourceNet->FiberList.size();
int f;
for(f=0; f<num_fibers; f++)
RasterizeFiberLex(sourceNet, f, &LexicographicList);
LexicographicList.sort();
LexicographicList.unique();
//LexicographicList.reverse();
//nonLexVolume.SaveVOL("nonlexico.vol");
//save the points in the focus field
point3D<unsigned long> p;
list<LexID>::iterator i;
unsigned long lexID;
for(i=LexicographicList.begin(); i!=LexicographicList.end(); i++)
{
lexID = (*i).ID;
p.x = (lexID)/(GRID_DIM.y*GRID_DIM.z);
p.y = (lexID - p.x*GRID_DIM.y*GRID_DIM.z)/GRID_DIM.z;
p.z = (lexID - p.x*GRID_DIM.y*GRID_DIM.z - p.y*GRID_DIM.z);
//cout<<"Pushing ";
//p.print();
//focusField->set(p.x, p.y, p.z, 255);
destGrid->push(p.x, p.y, p.z, 255);
//p.print();
}
return LexicographicList;
}
void EvaluateDistanceField(rtsDTGrid3D<float>* initialField)
{
initialField->background = 255;
(*initialField) = 0;
FastSweeping3D(initialField, DILATION, VOXEL_SIZE);
}
float Gaussian(float x, float std)
{
float prefix = 1.0/sqrt(2.0*3.14159*std*std);
float suffix = exp(-(x*x)/(2.0*std*std));
return prefix*suffix;
}
void EvaluateGaussianEnvelope(rtsDTGrid3D<float>* distanceField)
{
rtsDTGrid3D<float>::iterator i;
float G;
float zero_value = Gaussian(0.0, STD);
for(i=distanceField->begin(); i!=distanceField->after(); i++)
{
G = Gaussian(i.Value(), STD);
//normalize the gaussian
G /= zero_value;
//cout<<G<<endl;
i.SetValue(G);
}
distanceField->background = 0.0;
}
rtsDTGrid3D<float> CalculateDifference(rtsDTGrid3D<float>* grid0, rtsDTGrid3D<float>* grid1)
{
rtsDTGrid3D<float> result;
result = (*grid0) - (*grid1);
rts_itkVolume<float> testVolume;
testVolume.InsertDTGrid(&result);
testVolume.SaveVOL("rasterized.vol");
cout<<"Size: "<<testVolume.DimX()<<","<<testVolume.DimY()<<","<<testVolume.DimZ()<<endl;
cout<<"Raw Size: "<<testVolume.DimX()*testVolume.DimY()*testVolume.DimZ()<<endl;
return result;
}
float ComparePoints(float gold_val, float test_val, float std_1)
{
/*if(gold_val > std_1)
test_val = 0.0;
if(test_val > std_1)
gold_val = 0.0;
*/
if(test_val > std_1 && gold_val > std_1)
return 0.0;
return gold_val - test_val;
}
rtsDTGrid3D<float> CompareGrids(rtsDTGrid3D<float>* goldGrid, rtsDTGrid3D<float>* testGrid)
{
rtsDTGrid3D<float> result;
//create an iterator for each DT Grid
rtsDTGrid3D<float>::iterator gold_i = goldGrid->begin();
rtsDTGrid3D<float>::iterator test_i = testGrid->begin();
//compute the value at one standard deviation
float std_1 = Gaussian(STD, STD);
cout<<"Value at 1 STD: "<<std_1<<endl;
//create a variable to store the result value
float result_value;
//iterate both until one iterator has hit after()
while(gold_i != goldGrid->after() && test_i != testGrid->after())
{
//if the iterators are at the same coordinate
if(gold_i.Coord() == test_i.Coord())
{
//insert result of the comparison into the new grid
result_value = ComparePoints(gold_i.Value(), test_i.Value(), std_1);
result.push(gold_i.X1(), gold_i.X2(), gold_i.X3(), result_value);
//increment both
gold_i++; test_i++;
}
//add the lowest (lexicographically) value to the background, insert the result, and increment
else if( (gold_i.Coord() < test_i.Coord()) )
{
result_value = ComparePoints(gold_i.Value(), testGrid->background, std_1);
result.push(gold_i.X1(), gold_i.X2(), gold_i.X3(), result_value);
gold_i++;
}
else if( (test_i.Coord() < gold_i.Coord()) )
{
result_value = ComparePoints(goldGrid->background, test_i.Value(), std_1);
result.push(test_i.X1(), test_i.X2(), test_i.X3(), result_value);
test_i++;
}
}
cout<<"here"<<endl;
//if the left iterator hasn't finished, iterate to finish it off
while(gold_i != goldGrid->after())
{
result_value = ComparePoints(gold_i.Value(), testGrid->background, std_1);
result.push(gold_i.X1(), gold_i.X2(), gold_i.X3(), result_value);
gold_i++;
}
while(test_i != testGrid->after())
{
result_value = ComparePoints(goldGrid->background, test_i.Value(), std_1);
result.push(test_i.X1(), test_i.X2(), test_i.X3(), result_value);
test_i++;
}
return result;
rts_itkVolume<float> testVolume;
testVolume.InsertDTGrid(&result);
testVolume.SaveVOL("rasterized.vol");
cout<<"Size: "<<testVolume.DimX()<<","<<testVolume.DimY()<<","<<testVolume.DimZ()<<endl;
cout<<"Raw Size: "<<testVolume.DimX()*testVolume.DimY()*testVolume.DimZ()<<endl;
return result;
}
void IntegrateResult(rtsDTGrid3D<float>* inputGrid, float &total_positive, float &total_negative)
{
total_positive = total_negative = 0.0;
rtsDTGrid3D<float>::iterator i;
float value;
for(i = inputGrid->begin(); i != inputGrid->after(); i++)
{
value = i.Value();
if(value > 0.0)
total_positive += value;
if(value < 0.0)
total_negative += -value;
}
}
float SumGrid(rtsDTGrid3D<float>* inputGrid)
{
rtsDTGrid3D<float>::iterator i;
float result = 0.0;
for(i = inputGrid->begin(); i != inputGrid->after(); i++)
{
result += i.Value();
}
return result;
}
void StoreInFiber(rtsFiberNetwork* network, int fiber, float value)
{
if(network->FiberList[fiber].FiberData == NULL)
{
network->FiberList[fiber].FiberData = (void*)(new float[2]);
((float*)network->FiberList[fiber].FiberData)[0] = 0.0;
((float*)network->FiberList[fiber].FiberData)[1] = 0.0;
}
((float*)network->FiberList[fiber].FiberData)[0] += value;
((float*)network->FiberList[fiber].FiberData)[1] += 1.0;
}
void MapToExplicit(int radius, rtsDTGrid3D<float>* inGrid, list<LexID>* inLexList, rtsFiberNetwork* inNetwork)
{
//create a template iterator to move over the input grid
rtsMultiDirectionStencil3D<float> i;
//create an iterator to move through the lexicographic list
list<LexID>::iterator L = inLexList->begin();
//set the stencil positions
int x, y, z;
for(x=-radius; x<=radius; x++)
for(y=-radius; y<=radius; y++)
for(z=-radius; z<=radius; z++)
{
i.addPosition(x, y, z);
}
i.Initialize(inGrid);
unsigned long lex_id;
float positives;
int f;
int p;
for(i.StartPPP(); L != inLexList->end(); i.PPP())
{
//convert the iterator position to a Lexicographic ID
lex_id = (unsigned long)i.X1()*GRID_DIM.y*GRID_DIM.z + (unsigned long)i.X2()*GRID_DIM.z + (unsigned long)i.X3();
if(lex_id == (*L).ID)
{
//get the fiber ID associated with the point
f = (*L).fiber;
//get the positive value
positives = 0.0;
for(p = 0; p<i.numValues(); p++)
{
if(i.getValue(p) > 0)
positives += i.getValue(p);
}
//if(positives > 0)
// cout<<positives<<endl;
//store the value in the network
StoreInFiber(inNetwork, f, positives);
L++;
}
}
}