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import sys
import os
from os.path import join
import numpy as np
from itertools import groupby
from tqdm import tqdm
import pydicom
from collections import Counter
import re
from scipy import interpolate
from scipy.interpolate import RBFInterpolator, NearestNDInterpolator
from scipy.spatial import distance
import pyvista as pv
import vtk
from vmtk import vmtkscripts
def get_dz(ds):
try:
dz = float(ds.SpacingBetweenSlices)
except:
dz = float(ds.SliceThickness)
return dz
def get_venc(data):
venc = [0] * 3
# Check venc from the sequence name (e.g. fl3d1_v150fh)
j = 0
if hasattr(data['series0'][0]['info'], 'SequenceName'):
pattern = re.compile(".*?_v(\\d+)(\\w+)")
for i in range(4):
ser = data['series' + str(i)]
found = pattern.search(ser[0]['info'].SequenceName)
if found:
venc[j] = int(found.group(1))
j += 1
elif hasattr(data['series0'][0]['info'], 'SeriesDescription'):
pattern = re.compile(".*?VENC (\\d+).*?")
for i in range(3):
ser = data['series' + str(i)]
found = pattern.search(ser[0]['info'].SeriesDescription)
if found:
venc[j] = int(found.group(1))
j += 1
print('Detected venc:', venc)
return venc
def read_acquisition(dataDir):
series0 = []
series1 = []
series2 = []
series3 = []
series = []
sNum = []
for root, dirs, files in os.walk(dataDir):
for file in tqdm(files, desc='Reading images', disable=len(files) == 0):
ds = pydicom.dcmread(join(root, file), force=True)
sNum.append(ds.SeriesNumber)
dataTemp = dict()
dataTemp['FileName'] = file
dataTemp['pixel_array'] = ds.pixel_array.astype('float')
dataTemp['info'] = ds
series.append(dataTemp)
counter = Counter(sNum)
sNum = np.unique(sNum)
if len(counter) == 4:
for i in range(len(series)):
if int(series[i]['info'].SeriesNumber) == sNum[0]:
series0.append(series[i])
elif int(series[i]['info'].SeriesNumber) == sNum[1]:
series1.append(series[i])
elif int(series[i]['info'].SeriesNumber) == sNum[2]:
series2.append(series[i])
elif int(series[i]['info'].SeriesNumber) == sNum[3]:
series3.append(series[i])
else:
print('Series number not found.')
print(series[i]['info'].SeriesNumber)
sys.exit(0)
elif len(counter) == 2:
num_imgs = list(counter.values())
if num_imgs[0] > num_imgs[1]:
assert num_imgs[0] == 3 * num_imgs[1]
series_count = 0
for i in range(len(series)):
if int(series[i]['info'].SeriesNumber) == sNum[0]:
if series_count < num_imgs[1]:
series0.append(series[i])
series_count += 1
elif series_count < 2 * num_imgs[1]:
series1.append(series[i])
series_count += 1
elif series_count < 3 * num_imgs[1]:
series2.append(series[i])
series_count += 1
else:
series3.append(series[i])
if num_imgs[0] < num_imgs[1]:
assert num_imgs[1] == 3 * num_imgs[0]
series_count = 0
for i in range(len(series)):
if int(series[i]['info'].SeriesNumber) == sNum[1]:
if series_count < num_imgs[1]:
series0.append(series[i])
series_count += 1
elif series_count < 2 * num_imgs[1]:
series1.append(series[i])
series_count += 1
elif series_count < 3 * num_imgs[1]:
series2.append(series[i])
series_count += 1
else:
series3.append(series[i])
K = []
for k, v in groupby(series0, key=lambda x: x['info'].SliceLocation):
K.append(k)
vendor = ds.Manufacturer
slices = len(set(K))
frames = len(series0) // slices
rows = ds.Rows
columns = ds.Columns
# origin = ds.ImagePositionPatient
origin = [0.0, 0.0, 0.0]
orientation = ds.ImageOrientationPatient
position = ds.PatientPosition
# period = float(ds.NominalInterval) / 1000
spacing = [float(ds.PixelSpacing[1]), float(ds.PixelSpacing[0]), get_dz(ds)]
spacing = [s / 1000 for s in spacing]
series0 = sorted(series0, key=lambda k: k['FileName'])
series1 = sorted(series1, key=lambda k: k['FileName'])
series2 = sorted(series2, key=lambda k: k['FileName'])
series3 = sorted(series3, key=lambda k: k['FileName'])
meta = {'vendor': vendor,
'num_slices': slices,
'num_frames': frames,
'num_rows': rows,
'num_cols': columns,
'origin': origin,
'orientation': orientation,
'position': position,
'spacing': spacing,
'HighBit': ds.HighBit
}
series_data = {'series0': series0,
'series1': series1,
'series2': series2,
'series3': series3
}
# venc detection
venc = get_venc(series_data)
if np.mean(venc) > 80:
venc = [vv * 0.01 for vv in venc]
meta['venc'] = venc
return series_data, meta
def seriesData_to_arrayData(seriesData, meta):
arrayData = []
for s in seriesData.keys():
series = seriesData[s]
newArr = np.zeros((meta['num_rows'], meta['num_cols'], meta['num_slices'], meta['num_frames']))
try:
#IPP = []
for j in range(1, meta['num_frames'] + 1):
frameBlock = [elem for elem in series if int(elem['info'].TemporalPositionIdentifier) == j]
frameBlock = sorted(frameBlock, key=lambda k: k['info'].SliceLocation)
for i in range(meta['num_slices']):
newArr[:, :, i, j - 1] = frameBlock[i]['pixel_array']
#IPP.append(frameBlock[i]['IPP'])
arrayData.append(newArr)
except:
series = sorted(series, key=lambda k: k['info'].SliceLocation)
#series = sorted(series, key=lambda k: k['FileName'])
ids = np.arange(0, meta['num_slices'] * meta['num_frames'] - meta['num_frames'], meta['num_frames'])
for i in range(len(ids)):
for j in range(meta['num_frames']):
newArr[:, :, i, j] = series[ids[i] + j]['pixel_array']
arrayData.append(newArr)
return arrayData
def rotation_matrix_from_vectors(vec1, vec2):
""" Find the rotation matrix that aligns vec1 to vec2
:param vec1: A 3d "source" vector
:param vec2: A 3d "destination" vector
:return mat: A transform matrix (3x3) which when applied to vec1, aligns it with vec2.
"""
a, b = (vec1 / np.linalg.norm(vec1)).reshape(3), (vec2 / np.linalg.norm(vec2)).reshape(3)
v = np.cross(a, b) # direction of normal
c = np.dot(a, b) # degree of rotation
s = np.linalg.norm(v) # length of v
kmat = np.array([[0, -v[2], v[1]], [v[2], 0, -v[0]], [-v[1], v[0], 0]])
rotation_matrix = np.eye(3) + kmat + kmat.dot(kmat) * ((1 - c) / (s ** 2))
return rotation_matrix
# core function for interpolating profiles in 3D space
def interpolate_profiles(aligned_planes, fxdpts, intp_options):
num_frames = len(aligned_planes)
# Set boundary vectors to zero
dr = intp_options['zero_boundary_dist'] # percentage threshold for zero boundary
edges = [aligned_planes[k].extract_feature_edges().connectivity() for k in range(num_frames)] # extract edges at each frame.
# extract_feature_edges().connectivity: extract connectivity information
large_edge_id = [np.argmax(np.bincount(edges[k]['RegionId'])) for k in range(num_frames)] # ng.argmax: returns the index of the largest count;
# np.bincount: counts the occurrences of each region ID
#edge_pts = [edges[k].points[np.where(edges[k]['RegionId'] == large_edge_id[k])] for k in range(num_frames)] # find out 3D coordinates information of large_edge_id
edge_pts = [aligned_planes[k].extract_feature_edges(boundary_edges=True, feature_edges=False, manifold_edges=False).points for k in range(num_frames)]
dist2edge = [distance.cdist(aligned_planes[k].points, edge_pts[k]).min(axis=1) for k in range(num_frames)] #distance.cdist: computes pairwise distance between 2 group of points
boundary_ids = [np.where(dist2edge[k] < (dr * dist2edge[k].max()))[0] for k in range(num_frames)] # extract new boundary ID;
# find out the edge IDs where its distance is shorter than the requirement
for k in range(num_frames):
aligned_planes[k]['Velocity'][boundary_ids[k], :] = 0.0 # set to 0 velocity
# Set backflow to zero
if intp_options['zero_backflow']: # boolean statement, True or False
normals = [aligned_planes[k].compute_normals()['Normals'].mean(0) * -1 for k in
range(num_frames)] # Careful with the sign;
normals = [normals[k] / np.linalg.norm(normals[k]) for k in range(num_frames)] # np.linalg.norm computes the magnitude/length of a vector
for k in range(num_frames):
signs = np.dot(aligned_planes[k]['Velocity'], normals[k])
aligned_planes[k]['Velocity'][np.where(signs < 0)] = 0.0
# interpolate velocity profile
vel_interp = []
# print('fitting...')
for k in range(num_frames):
nnVel = NearestNDInterpolator(aligned_planes[k].points, aligned_planes[k]['Velocity'])(fxdpts)
I = RBFInterpolator(fxdpts, nnVel,
kernel=intp_options['kernel'], smoothing=intp_options['smoothing'],
epsilon=1, degree=intp_options['degree']) #RBF:radial basis function
vel_interp.append(I(fxdpts))
# hard no slip condition (double check)
if intp_options['hard_noslip']:
for k in range(num_frames):
vel_interp[k][boundary_ids, :] = 0
# create new polydatas
interp_planes = [pv.PolyData(fxdpts).delaunay_2d(alpha=0.1) for _ in range(num_frames)]
#interp_planes = [pv.PolyData(fxdpts) for _ in range(num_frames)]
for k in range(num_frames):
interp_planes[k]['Velocity'] = vel_interp[k]
return interp_planes
def rotation_matrix_from_axis_and_angle(u, theta):
""":arg u is axis (3 components)
:arg theta is angle (1 component) obtained by acos of dot prod
"""
from math import cos, sin
R = np.asarray([[cos(theta) + u[0] ** 2 * (1 - cos(theta)),
u[0] * u[1] * (1 - cos(theta)) - u[2] * sin(theta),
u[0] * u[2] * (1 - cos(theta)) + u[1] * sin(theta)],
[u[0] * u[1] * (1 - cos(theta)) + u[2] * sin(theta),
cos(theta) + u[1] ** 2 * (1 - cos(theta)),
u[1] * u[2] * (1 - cos(theta)) - u[0] * sin(theta)],
[u[0] * u[2] * (1 - cos(theta)) - u[1] * sin(theta),
u[1] * u[2] * (1 - cos(theta)) + u[0] * sin(theta),
cos(theta) + u[2] ** 2 * (1 - cos(theta))]])
return R
##----------------------------------------------------------------------------------------------------------------------
# Geometric analysis functions
def clean_surface(surface, size_factor=0.1):
surfaceCleaner = vmtkscripts.vmtkSurfaceKiteRemoval()
surfaceCleaner.Surface = surface
surfaceCleaner.SizeFactor = size_factor
surfaceCleaner.Execute()
return surfaceCleaner.Surface
def fillHoles(surface, holeSize=40):
filler = vtk.vtkFillHolesFilter()
filler.SetInputData(surface)
filler.SetHoleSize(holeSize)
filler.Update()
return filler.GetOutput()
def extract_parent_centerline(surface, dx=0.001, smoothing_iters=50, smoothing_factor=0.5):
print('1')
cl_filter = vmtkscripts.vmtkCenterlines()
print('2')
cl_filter.Surface = surface
print('3')
#cl_filter.AppendEndPoints = 1
cl_filter.Resampling = 1
print('4')
cl_filter.ResamplingStepLength = dx
print('5')
cl_filter.Execute()
attr = vmtkscripts.vmtkCenterlineAttributes()
attr.Centerlines = cl_filter.Centerlines
attr.Execute()
geo = vmtkscripts.vmtkCenterlineGeometry()
geo.Centerlines = attr.Centerlines
geo.LineSmoothing = 0
geo.OutputSmoothingLines = 0
geo.Execute()
smoo = vmtkscripts.vmtkCenterlineSmoothing()
smoo.Centerlines = geo.Centerlines
smoo.NumberOfSmoothingIterations = smoothing_iters
smoo.SmoothingFactor = smoothing_factor
smoo.Execute()
return smoo.Centerlines
def time_interpolation(interp_planes, time_intp_options):
num_frames = len(interp_planes)
t_4dflow = np.linspace(0, time_intp_options['T4df'], num_frames)
t_fxd = np.linspace(0, time_intp_options['T4df'], time_intp_options['num_frames_fxd'])
U = np.array([np.array(interp_planes[k]['Velocity']) for k in range(num_frames)]) # extract velocity data from each frame on the 4Dflow plane
vel_t_interp = interpolate.interp1d(t_4dflow, U, kind='cubic', axis=0)(t_fxd) # interpolation from 24 timeframes to 20 timeframes
new_planes = [interp_planes[0].copy() for _ in range(time_intp_options['num_frames_fxd'])]
for k in range(len(new_planes)):
new_planes[k]['Velocity'] = vel_t_interp[k]
return new_planes
def ratio_scale(interp_planes, time_intp_options):
num_frames = len(interp_planes)
t_4dflow = np.linspace(0, time_intp_options['T4df'], num_frames)
t_fxd = np.linspace(0, time_intp_options['T4df'], time_intp_options['num_frames_fxd']) # 20 frames by default
t_sys = time_intp_options['systole_end']
t_dia = t_fxd-t_sys
t_sys_target = time_intp_options['tuned_end']
U = np.array([np.array(interp_planes[k]['Velocity']) for k in range(num_frames)]) # extract velocity data from each frame on the 4Dflow plane
t_new_sys = t_fxd[:t_sys_target]
t_new_dia = t_fxd[t_sys_target:]
vel_t_interp_sys = interpolate.interp1d(t_4dflow[:t_sys+1],U[:t_sys+1], kind='cubic',axis=0)(t_new_sys)
vel_t_interp_dia = interpolate.interp1d(t_4dflow[t_sys:], U[t_sys:], kind='cubic', axis=0)(t_new_dia)
vel_t_interp = interpolate.interp1d(t_4dflow, U, kind='cubic', axis=0)(t_fxd) # interpolation from 24 timeframes to 20 timeframes
new_planes = [interp_planes[0].copy() for _ in range(time_intp_options['num_frames_fxd'])]
for k in range(len(new_planes)):
if k < t_sys_target:
new_planes[k]['Velocity'] = vel_t_interp_sys[k]
else:
new_planes[k]['Velocity'] = vel_t_interp_dia[k-12]
return new_planes
# generate fixed plane points
def set_fixed_points(r_spac=0.05, circ_spac=5):
r = np.arange(0.0, 1.0 + r_spac, r_spac) # It represents the radial distance from the origin.
n = np.arange(1, 100 + circ_spac, circ_spac) # It represents the number of points to be placed along each circle
coordinates = []
for rr, nn in zip(r, n):
t = np.linspace(0, 2*np.pi, nn, endpoint=False)
x = rr * np.cos(t)
y = rr * np.sin(t)
coordinates.append(np.c_[x, y]) # create a 2D array of coordinates for each circle
fxdpts = np.concatenate(coordinates, axis=0)
fxdpts = np.column_stack((fxdpts, np.zeros(len(fxdpts)))) # This adds a column of zeros to the fxdpts array, representing the z-coordinate of the points (which is set to 0 in this case).
# landmark in fixed plane
fxd_lm_id = np.argmax(fxdpts[:, 0])
fxd_lm = fxdpts[fxd_lm_id]
return fxdpts, fxd_lm
# autoscaling function
def adjust_units(pd, array_name='Velocity'):
# assumes pd is a pyvista PolyData or a list of pyvista PolyData
if not type(pd) == list:
pd = [pd]
distRange = np.max(np.abs(pd[0].points), 0) - np.min(np.abs(pd[0].points), 0)
velRange = np.max(np.abs(pd[0][array_name]), 0) - np.min(np.abs(pd[0][array_name]), 0)
for i in range(len(pd)):
if np.max(distRange) > 5:
pd[i].points *= 0.001
if np.max(velRange) > 5:
pd[i][array_name] *= 0.001
return pd
def compute_flowrate(vtps):
flowRate = []
for i in range(len(vtps)):
dummyPD = vtps[0]
normal = dummyPD.compute_normals()['Normals'].mean(0) # calculate the mean of each column
dummyPD['Velocity'] = vtps[i]['Velocity']
dummyPD = dummyPD.point_data_to_cell_data(pass_point_data=True)
Q = np.sum(np.dot(dummyPD['Velocity'], normal) * dummyPD.compute_cell_sizes()['Area']) # ScalarVelocity * area = Q
flowRate.append(Q)
flowRate = np.array(flowRate)
if flowRate[np.argmax(np.abs(flowRate))] < 0:
flowRate *= -1
out = {'Q(t)': flowRate, 'Q_mean': np.mean(flowRate), 'Q_max': np.max(flowRate)}
return out