Note
Go to the end to download the full example code.
Generating 3D Volume Projections¶
This script illustrates using ASPIRE’s Simulation source to generate projections of a Volume using prescribed rotations.
import logging
import os
import numpy as np
from aspire.noise import WhiteNoiseAdder
from aspire.source.simulation import Simulation
from aspire.utils import Rotation
from aspire.volume import Volume
logger = logging.getLogger(__name__)
Configure how many images we’d like to project¶
n_img = 10
Load our Volume data¶
This example starts with an mrc, which can be loaded as an ASPIRE Volume.
file_path = os.path.join(
os.path.dirname(os.getcwd()), "data", "clean70SRibosome_vol_65p.mrc"
)
v = Volume.load(file_path, dtype=np.float64)
# Then we downsample to 60x60x60
v.downsample(60)
1 float64 volumes arranged as a (1,) stack each of size 60x60x60.
Defining rotations¶
We generate a collection of in-plane rotations about the z-axis.
# First get a list of angles to test
thetas = np.linspace(0, 2 * np.pi, num=n_img, endpoint=False)
# Instantiate ASPIRE's Rotation class with the set of angles.
# This will allow us to use or access the rotations in a variety of ways.
rots = Rotation.about_axis("z", thetas, dtype=np.float64)
Configure Noise¶
We can define controlled noise and have the Simulation apply it to our projection images.
noise_variance = 1e-10 # Normally this would be derived from a desired SNR.
# Then create a CustomNoiseAdder based on that variance, which is passed to Simulation.
white_noise_adder = WhiteNoiseAdder(var=noise_variance)
Setup Simulation Source¶
# Simulation will randomly shift and amplify images by default.
# Instead we define the following parameters.
shifts = np.zeros((n_img, 2))
amplitudes = np.ones(n_img)
# Create a Simulation Source object
src = Simulation(
vols=v, # our Volume
L=v.resolution, # resolution, should match Volume
n=n_img, # number of projection images
angles=rots.angles, # pass our rotations as Euler angles
offsets=shifts, # translations (wrt to origin)
amplitudes=amplitudes, # amplification ( 1 is identity)
seed=12345, # RNG seed for reproducibility
dtype=v.dtype, # match our datatype to the Volume.
noise_adder=white_noise_adder, # optionally prescribe noise
)
/opt/hostedtoolcache/Python/3.9.20/x64/lib/python3.9/site-packages/sphinx_gallery/gen_rst.py:783: UserWarning: Gimbal lock detected. Setting third angle to zero since it is not possible to uniquely determine all angles.
exec(self.code, self.fake_main.__dict__)
Yield projection images from the Simulation Source¶
# Consume images from the source by providing
# a starting index and number of images.
# Here we generate the first 3 and peek at them.
src.images[:3].show()
src.projections[:3].show()
# Here we return the first n_img images as a numpy array.
dirty_ary = src.images[:n_img].asnumpy()
# And we have access to the clean images
clean_ary = src.projections[:n_img].asnumpy()
# Similary, the angles/rotations/shifts/amplitudes etc.
Total running time of the script: (0 minutes 0.834 seconds)