# Prepare Python environment
import scipy.io as sio
from pathlib import Path
from contextlib import contextmanager
import sys, os
from pathlib import Path
@contextmanager
def suppress_stdout():
with open(os.devnull, "w") as devnull:
old_stdout = sys.stdout
sys.stdout = devnull
try:
yield
finally:
sys.stdout = old_stdout
import os
from pathlib import Path
def find_myst_yml_directories(start_dir=None):
"""
Recursively search for directories containing myst.yml file.
Args:
start_dir (str or Path): Starting directory (defaults to current directory)
Returns:
list: List of full paths to directories containing myst.yml
"""
if start_dir is None:
start_dir = Path.cwd()
else:
start_dir = Path(start_dir)
myst_dirs = []
def _search_directory(current_dir):
# Check if myst.yml exists in current directory
myst_file = current_dir / "myst.yml"
if myst_file.exists():
myst_dirs.append(str(current_dir.resolve()))
# Don't search subdirectories if we found myst.yml here
return
# Recursively search all subdirectories
for item in current_dir.iterdir():
if item.is_dir():
try:
_search_directory(item)
except (PermissionError, OSError):
# Skip directories we can't access
continue
_search_directory(start_dir)
return myst_dirs
def find_myst_yml_directories_upwards(start_dir=None):
"""
Search for myst.yml in current directory, if not found go to parent and repeat.
Args:
start_dir (str or Path): Starting directory (defaults to current directory)
Returns:
str or None: Full path of directory containing myst.yml, or None if not found
"""
if start_dir is None:
current_dir = Path.cwd()
else:
current_dir = Path(start_dir)
# Keep going up until we reach the filesystem root
while current_dir != current_dir.parent: # Stop at root
myst_file = current_dir / "myst.yml"
if myst_file.exists():
return str(current_dir.resolve())
# Move to parent directory
current_dir = current_dir.parent
return None
with suppress_stdout():
repo_path = Path(find_myst_yml_directories_upwards())
print(repo_path)
data_req_path = repo_path / "binder" / "data_requirement.json"
data_path = repo_path / "data"
dataset_path = data_path / "qmrlab-mooc"
data_dir = dataset_path / "05-B0" / "05-B0" / "data"/ "fmap"
import math
import json
import nibabel as nib
import numpy as np
from numpy.fft import ifftn, fftn, ifft, fftshift, ifftshift
import os
import plotly.express as px
import plotly.graph_objects as go
from plotly.subplots import make_subplots
from scipy.signal import butter, lfilter, freqz, filtfilt
from scipy.io import loadmat
import warnings
PI_UNICODE = "\U0001D70B"
CHI_UNICODE = "\U0001D712"
MICRO_UNICODE = "\u00B5"
GYRO_BAR_RATIO_H = 42.6e6 # [Hz/T]
def dipole_kernel(b0_dir, voxel_size, n_voxels):
""" Create a dipole kernel
dipole kernel: (3*cos(theta)**2 - 1) / (4*pi*r**3)
=> (3*r**2*cos(theta)**2 - r**2) / (4*pi*r**5)
=> (3*b0_dir**2 - r**2) / (4*pi*r**2**2.5)
Function inspired and derived from: https://onlinelibrary.wiley.com/doi/10.1002/mrm.28716
"""
eps = 0.00001
x, y, z = np.meshgrid(range(round(-n_voxels[0]/2+0.5), round(n_voxels[0]/2+0.5)), range(round(-n_voxels[1]/2+0.5), round(n_voxels[1]/2+0.5)), range(round(-n_voxels[2]/2+0.5), round(n_voxels[2]/2+0.5)), indexing='ij')
x = x * voxel_size[0] + eps
y = y * voxel_size[1] + eps
z = z * voxel_size[2] + eps
r2 = (x**2 + y**2 + z**2)
d = np.prod(voxel_size) * ( 3 * ((x*b0_dir[0] + y*b0_dir[1] + z*b0_dir[2])**2) - r2 ) / (4 * math.pi * r2**2.5)
d[np.isnan(d)] = eps
D = np.real(fftshift(fftn(ifftshift(d))))
mid_voxel = n_voxels[0]//2
return d[n_voxels[1]//2], D[n_voxels[1]//2]
b0_dir = (0, 0, 1)
voxel_size = np.array((1, 1, 1)) * 1e-3
n_voxels = (201,201,201)
d, D = dipole_kernel(b0_dir, voxel_size, n_voxels)
fig = go.Figure()
fig = make_subplots(rows=1, cols=2, shared_xaxes=False, horizontal_spacing=0.13, vertical_spacing = 0.12, subplot_titles=("Dipole Kernel (d)", "Dipole Kernel (D)"), specs=[[{"type": "Heatmap"}, {"type": "Heatmap"}]])
fig.add_trace(go.Heatmap(z=d, colorscale='gray', showscale=False, zmin=-1e-6, zmax=1e-6))
fig.add_trace(go.Heatmap(z=D, colorscale='gray', showscale=False), 1, 2)
fig.update_xaxes(showticklabels=False)
fig.update_yaxes(showticklabels=False)
fig.update_layout(
height=400,
width=750)
fig.show()Loading...