network.h
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#ifndef STIM_NETWORK_H
#define STIM_NETWORK_H
#include <stdlib.h>
#include <assert.h>
#include <sstream>
#include <fstream>
#include <algorithm>
#include <string.h>
#include <math.h>
#include <stim/math/vec3.h>
#include <stim/visualization/obj.h>
#include <stim/visualization/cylinder.h>
#include <stim/structures/kdtree.cuh>
#include <stim/cuda/cudatools/timer.h>
namespace stim{
/** This is the a class that interfaces with gl_spider in order to store the currently
* segmented network. The following data is stored and can be extracted:
* 1)Network geometry and centerline.
* 2)Network connectivity (a graph of nodes and edges), reconstructed using ANN library.
*/
template<typename T>
class network{
///Each edge is a fiber with two nodes.
///Each node is an in index to the endpoint of the fiber in the nodes array.
class edge : public cylinder<T>
{
public:
unsigned v[2]; //unique id's designating the starting and ending
// default constructor
edge() : cylinder<T>() {
v[1] = (unsigned)(-1); v[0] = (unsigned)(-1);
}
/// Constructor - creates an edge from a list of points by calling the stim::fiber constructor
///@param p is an array of positions in space
edge(centerline p) : cylinder<T>(p){}
/// Copy constructor creates an edge from a cylinder
edge(stim::cylinder<T> f) : cylinder<T>(f) {}
/// Resamples an edge by calling the fiber resampling function
edge resample(T spacing){
edge e(cylinder<T>::resample(spacing)); //call the fiber->edge constructor
e.v[0] = v[0]; //copy the vertex data
e.v[1] = v[1];
return e; //return the new edge
}
/// Output the edge information as a string
std::string str(){
std::stringstream ss;
ss<<"("<<cylinder<T>::size()<<")\tl = "<<this->length()<<"\t"<<v[0]<<"----"<<v[1];
return ss.str();
}
};
///Node class that stores the physical position of the node as well as the edges it is connected to (edges that connect to it), As well as any additional data necessary.
class vertex : public stim::vec3<T>
{
public:
//std::vector<unsigned int> edges; //indices of edges connected to this node.
std::vector<unsigned int> e[2]; //indices of edges going out (e[0]) and coming in (e[1])
//stim::vec3<T> p; //position of this node in physical space.
//constructor takes a stim::vec
vertex(stim::vec3<T> p) : stim::vec3<T>(p){}
/// Output the vertex information as a string
std::string str(){
std::stringstream ss;
ss<<"\t(x, y, z) = "<<stim::vec3<T>::str();
if(e[0].size() > 0){
ss<<"\t> ";
for(unsigned int o = 0; o < e[0].size(); o++)
ss<<e[0][o]<<" ";
}
if(e[1].size() > 0){
ss<<"\t< ";
for(unsigned int i = 0; i < e[1].size(); i++)
ss<<e[1][i]<<" ";
}
return ss.str();
}
};
protected:
std::vector<edge> E; //list of edges
std::vector<vertex> V; //list of vertices.
public:
///default constructor
network()
{
}
///constructor with a file to load.
network(std::string fileLocation)
{
load_obj(fileLocation);
}
///Returns the number of edges in the network.
unsigned int edges(){
return E.size();
}
///Returns the number of nodes in the network.
unsigned int vertices(){
return V.size();
}
//scale the network by some constant value
// I don't think these work??????
/*std::vector<vertex> operator*(T s){
for (unsigned i=0; i< vertices; i ++ ){
V[i] = V[i] * s;
}
return V;
}
std::vector<vertex> operator*(vec<T> s){
for (unsigned i=0; i< vertices; i ++ ){
for (unsigned dim = 0 ; dim< 3; dim ++){
V[i][dim] = V[i][dim] * s[dim];
}
}
return V;
}*/
// Returns an average of branching index in the network
double BranchingIndex(){
double B=0;
for(unsigned v=0; v < V.size(); v ++){
B += ((V[v].e[0].size()) + (V[v].e[1].size()));
}
B = B / V.size();
return B;
}
// Returns number of branch points in thenetwork
unsigned int BranchP(){
unsigned int B=0;
unsigned int c;
for(unsigned v=0; v < V.size(); v ++){
c = ((V[v].e[0].size()) + (V[v].e[1].size()));
if (c > 2){
B += 1;}
}
return B;
}
// Returns number of end points (tips) in thenetwork
unsigned int EndP(){
unsigned int B=0;
unsigned int c;
for(unsigned v=0; v < V.size(); v ++){
c = ((V[v].e[0].size()) + (V[v].e[1].size()));
if (c == 1){
B += 1;}
}
return B;
}
//// Returns a dictionary with the key as the vertex
//std::map<std::vector<vertex>,unsigned int> DegreeDict(){
// std::map<std::vector<vertex>,unsigned int> dd;
// unsigned int c = 0;
// for(unsigned v=0; v < V.size(); v ++){
// c = ((V[v].e[0].size()) + (V[v].e[1].size()));
// dd[V[v]] = c;
// }
// return dd;
//}
//// Return number of branching stems
//unsigned int Stems(){
// unsigned int s = 0;
// std::map<std::vector<vertex>,unsigned int> dd;
// dd = DegreeDict();
// //for(unsigned v=0; v < V.size(); v ++){
// // V[v].e[0].
// return s;
//}
//Calculate Metrics---------------------------------------------------
// Returns an average of fiber/edge lengths in the network
double Lengths(){
stim::vec<T> L;
double sumLength = 0;
for(unsigned e = 0; e < E.size(); e++){ //for each edge in the network
L.push_back(E[e].length()); //append the edge length
sumLength = sumLength + E[e].length();
}
double avg = sumLength / E.size();
return avg;
}
// Returns an average of tortuosities in the network
double Tortuosities(){
stim::vec<T> t;
stim::vec<T> id1, id2; // starting and ending vertices of the edge
double distance;double tortuosity;double sumTortuosity = 0;
for(unsigned e = 0; e < E.size(); e++){ //for each edge in the network
id1 = E[e][0]; //get the edge starting point
id2 = E[e][E[e].size() - 1]; //get the edge ending point
distance = (id1 - id2).len(); //displacement between the starting and ending points
if(distance > 0){
tortuosity = E[e].length()/ distance ; // tortuoisty = edge length / edge displacement
}
else{
tortuosity = 0;}
t.push_back(tortuosity);
sumTortuosity += tortuosity;
}
double avg = sumTortuosity / E.size();
return avg;
}
// Returns average contraction of the network
double Contractions(){
stim::vec<T> t;
stim::vec<T> id1, id2; // starting and ending vertices of the edge
double distance;double contraction;double sumContraction = 0;
for(unsigned e = 0; e < E.size(); e++){ //for each edge in the network
id1 = E[e][0]; //get the edge starting point
id2 = E[e][E[e].size() - 1]; //get the edge ending point
distance = (id1 - id2).len(); //displacement between the starting and ending points
contraction = distance / E[e].length(); // tortuoisty = edge length / edge displacement
t.push_back(contraction);
sumContraction += contraction;
}
double avg = sumContraction / E.size();
return avg;
}
// returns average fractal dimension of the branches of the network
double FractalDimensions(){
stim::vec<T> t;
stim::vec<T> id1, id2; // starting and ending vertices of the edge
double distance;double fract;double sumFractDim = 0;
for(unsigned e = 0; e < E.size(); e++){ //for each edge in the network
id1 = E[e][0]; //get the edge starting point
id2 = E[e][E[e].size() - 1]; //get the edge ending point
distance = (id1 - id2).len(); //displacement between the starting and ending points
fract = std::log(distance) / std::log(E[e].length()); // tortuoisty = edge length / edge displacement
t.push_back(sumFractDim);
sumFractDim += fract;
}
double avg = sumFractDim / E.size();
return avg;
}
//returns a cylinder represented a given fiber (based on edge index)
stim::cylinder<T> get_cylinder(unsigned e){
return E[e]; //return the specified edge (casting it to a fiber)
}
//load a network from an OBJ file
void load_obj(std::string filename){
stim::obj<T> O; //create an OBJ object
O.load(filename); //load the OBJ file as an object
std::vector<unsigned> id2vert; //this list stores the OBJ vertex ID associated with each network vertex
unsigned i[2]; //temporary, IDs associated with the first and last points in an OBJ line
//for each line in the OBJ object
for(unsigned int l = 1; l <= O.numL(); l++){
std::vector< stim::vec<T> > c; //allocate an array of points for the vessel centerline
O.getLine(l, c); //get the fiber centerline
stim::centerline<T> c3(c.size());
for(size_t j = 0; j < c.size(); j++)
c3[j] = c[j];
// edge new_edge = c3; ///This is dangerous.
edge new_edge(c3);
//create an edge from the given centerline
unsigned int I = new_edge.size(); //calculate the number of points on the centerline
//get the first and last vertex IDs for the line
std::vector< unsigned > id; //create an array to store the centerline point IDs
O.getLinei(l, id); //get the list of point IDs for the line
i[0] = id.front(); //get the OBJ ID for the first element of the line
i[1] = id.back(); //get the OBJ ID for the last element of the line
std::vector<unsigned>::iterator it; //create an iterator for searching the id2vert array
unsigned it_idx; //create an integer for the id2vert entry index
//find out if the nodes for this fiber have already been created
it = find(id2vert.begin(), id2vert.end(), i[0]); //look for the first node
if(it == id2vert.end()){ //if i[0] hasn't already been used
vertex new_vertex = new_edge[0]; //create a new vertex, assign it a position
new_vertex.e[0].push_back(E.size()); //add the current edge as outgoing
new_edge.v[0] = V.size(); //add the new edge to the edge
V.push_back(new_vertex); //add the new vertex to the vertex list
id2vert.push_back(i[0]); //add the ID to the ID->vertex conversion list
}
else{ //if the vertex already exists
it_idx = std::distance(id2vert.begin(), it);
V[it_idx].e[0].push_back(E.size()); //add the current edge as outgoing
new_edge.v[0] = it_idx;
}
it = find(id2vert.begin(), id2vert.end(), i[1]); //look for the second ID
if(it == id2vert.end()){ //if i[1] hasn't already been used
vertex new_vertex = new_edge[I-1]; //create a new vertex, assign it a position
new_vertex.e[1].push_back(E.size()); //add the current edge as incoming
new_edge.v[1] = V.size(); //add the new vertex to the edge
V.push_back(new_vertex); //add the new vertex to the vertex list
id2vert.push_back(i[1]); //add the ID to the ID->vertex conversion list
}
else{ //if the vertex already exists
it_idx = std::distance(id2vert.begin(), it);
V[it_idx].e[1].push_back(E.size()); //add the current edge as incoming
new_edge.v[1] = it_idx;
}
E.push_back(new_edge); //push the edge to the list
}
}
/// Output the network as a string
std::string str(){
std::stringstream ss;
ss<<"Nodes ("<<V.size()<<")--------"<<std::endl;
for(unsigned int v = 0; v < V.size(); v++){
ss<<"\t"<<v<<V[v].str()<<std::endl;
}
ss<<"Edges ("<<E.size()<<")--------"<<std::endl;
for(unsigned e = 0; e < E.size(); e++){
ss<<"\t"<<e<<E[e].str()<<std::endl;
}
return ss.str();
}
/// This function resamples all fibers in a network given a desired minimum spacing
/// @param spacing is the minimum distance between two points on the network
stim::network<T> resample(T spacing){
stim::network<T> n; //create a new network that will be an exact copy, with resampled fibers
n.V = V; //copy all vertices
n.E.resize(edges()); //allocate space for the edge list
//copy all fibers, resampling them in the process
for(unsigned e = 0; e < edges(); e++){ //for each edge in the edge list
n.E[e] = E[e].resample(spacing); //resample the edge and copy it to the new network
}
return n; //return the resampled network
}
/// Calculate the total number of points on all edges.
unsigned total_points(){
unsigned n = 0;
for(unsigned e = 0; e < E.size(); e++)
n += E[e].size();
return n;
}
//Copy the point cloud representing the centerline for the network into an array
void centerline_cloud(T* dst) {
size_t p; //stores the current edge point
size_t P; //stores the number of points in an edge
size_t i = 0; //index into the output array of points
for (size_t e = 0; e < E.size(); e++) { //for each edge in the network
P = E[e].size(); //get the number of points in this edge
for (p = 0; p < P; p++) {
dst[i * 3 + 0] = E[e][p][0];
dst[i * 3 + 1] = E[e][p][1];
dst[i * 3 + 2] = E[e][p][2];
i++;
}
}
}
// gaussian function
float gaussianFunction(float x, float std=25){ return exp(-x/(2*std*std));} // by default std = 25
// convert vec3 to array
void stim2array(float *a, stim::vec3<T> b){
a[0] = b[0];
a[1] = b[1];
a[2] = b[2];
}
/// Calculate the average magnitude across the entire network.
/// @param m is the magnitude value to use. The default is 0 (usually radius).
T average(unsigned m = 0){
T M, L; //allocate space for the total magnitude and length
M = L = 0; //initialize both the initial magnitude and length to zero
for(unsigned e = 0; e < E.size(); e++){ //for each edge in the network
M += E[e].integrate(m); //get the integrated magnitude
L += E[e].length(); //get the edge length
}
return M / L; //return the average magnitude
}
/// This function compares two networks and returns the percentage of the current network that is missing from A.
/// @param A is the network to compare to - the field is generated for A
/// @param sigma is the user-defined tolerance value - smaller values provide a stricter comparison
stim::network<T> compare(stim::network<T> A, float sigma, int device = -1){
stim::network<T> R; //generate a network storing the result of the comparison
R = (*this); //initialize the result with the current network
T *c; // centerline (array of double pointers) - points on kdtree must be double
size_t n_data = A.total_points(); // set the number of points
c = (T*) malloc(sizeof(T) * n_data * 3); //allocate an array to store all points in the data set
unsigned t = 0;
for(unsigned e = 0; e < A.E.size(); e++){ //for each edge in the network
for(unsigned p = 0; p < A.E[e].size(); p++){ //for each point in the edge
for(unsigned d = 0; d < 3; d++){ //for each coordinate
c[t * 3 + d] = A.E[e][p][d]; //copy the point into the array c
}
t++;
}
}
//generate a KD-tree for network A
//float metric = 0.0; // initialize metric to be returned after comparing the network
size_t MaxTreeLevels = 3; // max tree level
#ifdef __CUDACC__
cudaSetDevice(device);
stim::cuda_kdtree<T, 3> kdt; // initialize a pointer to a kd tree
//compare each point in the current network to the field produced by A
kdt.create(c, n_data, MaxTreeLevels); // build a KD tree
T *dists = new T[1]; // near neighbor distances
size_t *nnIdx = new size_t[1]; // near neighbor indices // allocate near neigh indices
stim::vec3<T> p0, p1;
T m1;
//float M = 0; //stores the total metric value
//float L = 0; //stores the total network length
T* queryPt = new T[3];
for(unsigned e = 0; e < R.E.size(); e++){ //for each edge in A
R.E[e].add_mag(0); //add a new magnitude for the metric
size_t errormag_id = R.E[e].nmags() - 1; //get the id for the new magnitude
for(unsigned p = 0; p < R.E[e].size(); p++){ //for each point in the edge
p1 = R.E[e][p]; //get the next point in the edge
stim2array(queryPt, p1);
kdt.search(queryPt, 1, nnIdx, dists); //find the distance between A and the current network
m1 = 1.0f - gaussianFunction((T)dists[0], sigma); //calculate the metric value based on the distance
R.E[e].set_mag(errormag_id, p, m1); //set the error for the second point in the segment
}
}
#else
stim::cpu_kdtree<T, 3> kdt;
kdt.create(c, n_data, MaxTreeLevels);
T *dists = new T[1]; // near neighbor distances
size_t *nnIdx = new size_t[1]; // near neighbor indices // allocate near neigh indices
stim::vec3<T> p0, p1;
T m1;
T* queryPt = new T[3];
for(unsigned e = 0; e < R.E.size(); e++){ //for each edge in A
R.E[e].add_mag(0); //add a new magnitude for the metric
for(unsigned p = 0; p < R.E[e].size(); p++){ //for each point in the edge
p1 = R.E[e][p]; //get the next point in the edge
stim2array(queryPt, p1);
kdt.cpu_search(queryPt, 1, nnIdx, dists); //find the distance between A and the current network
m1 = 1.0f - gaussianFunction((T)dists[0], sigma); //calculate the metric value based on the distance
R.E[e].set_mag(m1, p, 1); //set the error for the second point in the segment
}
}
#endif
return R; //return the resulting network
}
/// Returns the number of magnitude values stored in each edge. This should be uniform across the network.
unsigned nmags(){
return E[0].nmags();
}
// split a string in text by the character sep
stim::vec<T> split(std::string &text, char sep)
{
stim::vec<T> tokens;
std::size_t start = 0, end = 0;
while ((end = text.find(sep, start)) != std::string::npos) {
tokens.push_back(atof(text.substr(start, end - start).c_str()));
start = end + 1;
}
tokens.push_back(atof(text.substr(start).c_str()));
return tokens;
}
// load a network in text file to a network class
void load_txt(std::string filename)
{
std::vector <std::string> file_contents;
std::ifstream file(filename.c_str());
std::string line;
std::vector<unsigned> id2vert; //this list stores the vertex ID associated with each network vertex
//for each line in the text file, store them as strings in file_contents
while (std::getline(file, line))
{
std::stringstream ss(line);
file_contents.push_back(ss.str());
}
unsigned int numEdges = atoi(file_contents[0].c_str()); //number of edges in the network
unsigned int I = atoi(file_contents[1].c_str()) ; //calculate the number of points3d on the first edge
unsigned int count = 1; unsigned int k = 2; // count is global counter through the file contents, k is for the vertices on the edges
// for each edge in the network.
for (unsigned int i = 0; i < numEdges; i ++ )
{
// pre allocate a position vector p with number of points3d on the edge p
std::vector< stim::vec<T> > p(0, I);
// for each point on the nth edge
for (unsigned int j = k; j < I + k; j++)
{
// split the points3d of floats with separator space and form a float3 position vector out of them
p.push_back(split(file_contents[j], ' '));
}
count += p.size() + 1; // increment count to point at the next edge in the network
I = atoi(file_contents[count].c_str()); // read in the points3d at the next edge and convert it to an integer
k = count + 1;
edge new_edge = p; // create an edge with a vector of points3d on the edge
E.push_back(new_edge); // push the edge into the network
}
unsigned int numVertices = atoi(file_contents[count].c_str()); // this line in the text file gives the number of distinct vertices
count = count + 1; // this line of text file gives the first verrtex
// push each vertex into V
for (unsigned int i = 0; i < numVertices; i ++)
{
vertex new_vertex = split(file_contents[count], ' ');
V.push_back(new_vertex);
count += atoi(file_contents[count + 1].c_str()) + 2; // Skip number of edge ids + 2 to point to the next vertex
}
} // end load_txt function
// strTxt returns a string of edges
std::string
strTxt(std::vector< stim::vec<T> > p)
{
std::stringstream ss;
std::stringstream oss;
for(unsigned int i = 0; i < p.size(); i++){
ss.str(std::string());
for(unsigned int d = 0; d < 3; d++){
ss<<p[i][d];
}
ss << "\n";
}
return ss.str();
}
// removes specified character from string
void removeCharsFromString(std::string &str, char* charsToRemove ) {
for ( unsigned int i = 0; i < strlen(charsToRemove); ++i ) {
str.erase( remove(str.begin(), str.end(), charsToRemove[i]), str.end() );
}
}
//exports network to txt file
void
to_txt(std::string filename)
{
std::ofstream ofs(filename.c_str(), std::ofstream::out | std::ofstream::app);
//int num;
ofs << (E.size()).str() << "\n";
for(unsigned int i = 0; i < E.size(); i++)
{
std::string str;
ofs << (E[i].size()).str() << "\n";
str = E[i].strTxt();
ofs << str << "\n";
}
for(int i = 0; i < V.size(); i++)
{
std::string str;
str = V[i].str();
char temp[4] = "[],";
removeCharsFromString(str, temp);
ofs << str << "\n";
}
ofs.close();
}
}; //end stim::network class
}; //end stim namespace
#endif