def grid2D(self, drift_corrected = False):
image = numpy.zeros(self.im_shape_2D, dtype = numpy.int32)
for locs in self.locsInFrameRangeIterator(self.fmin, self.fmax, ["x", "y"]):
if drift_corrected:
locs["x"] += self.dx
locs["y"] += self.dy
i_x = numpy.floor(locs["x"]*self.scale).astype(numpy.int32)
i_y = numpy.floor(locs["y"]*self.scale).astype(numpy.int32)
gridC.grid2D(i_x, i_y, image)
return image
def renderImage(image, x, y, sigma):
"""
A helper function that does the actual rendering.
"""
# Histogram.
if sigma is None:
gridC.grid2D(numpy.round(y), numpy.round(x), image)
# Gaussians.
else:
dg.drawGaussiansXYOnImage(image, y, x, sigma=sigma)
def grid2D(self, drift_corrected=False):
image = numpy.zeros(self.im_shape_2D, dtype=numpy.int32)
for locs in self.locsInFrameRangeIterator(self.fmin, self.fmax,
["x", "y"]):
if drift_corrected:
locs["x"] += self.dx
locs["y"] += self.dy
i_x = numpy.floor(locs["x"] * self.scale).astype(numpy.int32)
i_y = numpy.floor(locs["y"] * self.scale).astype(numpy.int32)
gridC.grid2D(i_x, i_y, image)
return image
def renderImage(image, x, y, sigma):
"""
A helper function that does the actual rendering.
"""
# Histogram.
if sigma is None:
gridC.grid2D(numpy.round(y),
numpy.round(x),
image)
# Gaussians.
else:
dg.drawGaussiansXYOnImage(image, y, x, sigma = sigma)
def render2DImage(i3_reader, shape, category = None, offsets = None, scale = 2, sigma = None):
"""
Create a grayscale image from a Insight3 format binary data.
i3_reader - A readinsight3.I3Reader object.
shape - The shape of the output image. This will be multiplied by scale.
category - Filter for localizations of this category. The default is all categories.
offsets - X,Y offset of the image origin. The default is 0.0.
scale - The 'zoom' level of the output image, i.e. if the original STORM movie was
256x256 and scale = 2 then the output image will be 512x512.
sigma - The sigma to use when rendering gaussians (pixels). If this is None then
the image will be a histogram.
"""
image = numpy.zeros((shape[0]*scale, shape[1]*scale))
# Make sure we are starting at the beginning.
i3_reader.resetFp()
# Load the first block of data.
i3_data = i3_reader.nextBlock()
while (i3_data is not False):
sys.stdout.write(".")
sys.stdout.flush()
# Filter by category, if requested.
if category is not None:
i3_data = i3dtype.maskData(i3_data, (i3_data['c'] == category))
# Adjust by offsets, if specified. Note, not adjusted for scale.
if offsets is not None:
i3_data['xc'] -= offsets[0]
i3_data['yc'] -= offsets[1]
# Adjust x,y by scale.
xc = i3_data['xc']*scale
yc = i3_data['yc']*scale
# Histogram.
if sigma is None:
gridC.grid2D(numpy.round(xc),
numpy.round(yc),
image)
# Gaussians.
else:
dg.drawGaussiansXYOnImage(image, xc, yc, sigma = sigma)
# Load next block of data.
i3_data = i3_reader.nextBlock()
print()
return image
def gridTracks2D(self, dx = 0.0, dy = 0.0, verbose = False):
image = numpy.zeros(self.im_shape_2D, dtype = numpy.int32)
for locs in self.tracksIterator(fields = ["x", "y"]):
if verbose:
sys.stdout.write(".")
sys.stdout.flush()
f_x = locs["x"] + dx
f_y = locs["y"] + dy
i_x = numpy.floor(f_x*self.scale).astype(numpy.int32)
i_y = numpy.floor(f_y*self.scale).astype(numpy.int32)
gridC.grid2D(i_x, i_y, image)
if verbose:
sys.stdout.write("\n")
return image
def i3To2DGrid(self, fmin = 0, fmax = 500000, zmin = -1000.0, zmax = 1000.0, uncorrected = False, matrix = False, translate = False, verbose = True):
if uncorrected:
[x, y, z] = [self.i3data['x'],
self.i3data['y'],
self.i3data['z']]
else:
[x, y, z] = [self.i3data['xc'],
self.i3data['yc'],
self.i3data['zc']]
cat = self.i3data['c']
f = self.i3data['fr']
[image_x, image_y] = self.im_size
scale = int(self.scale)
if type(matrix) == type(numpy.array([])):
if translate:
[x, y] = regfilereader.applyTransform(matrix, x, y)
else:
[x, y] = regfilereader.applyTransformNoTranslation(matrix, x, y)
max_max = 0.0
max_counts = []
image_data = []
for channel in self.channels:
mask = (cat == channel) & (f >= fmin) & (f < fmax) & (z > zmin) & (z < zmax)
#print numpy.sum(mask)
i_x = numpy.round(x[mask] * scale).astype(int)
i_y = numpy.round(y[mask] * scale).astype(int)
if (i_x.shape[0] > 0):
channel_data = grid_c.grid2D(i_x,i_y,(image_x*scale,image_y*scale))
else:
channel_data = numpy.zeros((image_x*scale, image_y*scale))
image_data.append(channel_data.astype(numpy.float32))
max_count = numpy.max(channel_data)
if max_count > max_max:
max_max = max_count
max_counts.append(max_count)
return [image_data, self.channels, max_counts, max_max]
def i3To2DGrid(self, fmin = 0, fmax = 500000, zmin = -1000.0, zmax = 1000.0, uncorrected = False, matrix = False, translate = False, verbose = True):
if uncorrected:
[x, y, z] = [self.i3data['x'],
self.i3data['y'],
self.i3data['z']]
else:
[x, y, z] = [self.i3data['xc'],
self.i3data['yc'],
self.i3data['zc']]
cat = self.i3data['c']
f = self.i3data['fr']
[image_x, image_y] = self.im_size
scale = int(self.scale)
if type(matrix) == type(numpy.array([])):
if translate:
[x, y] = regfilereader.applyTransform(matrix, x, y)
else:
[x, y] = regfilereader.applyTransformNoTranslation(matrix, x, y)
max_max = 0.0
max_counts = []
image_data = []
for channel in self.channels:
mask = (cat == channel) & (f >= fmin) & (f < fmax) & (z > zmin) & (z < zmax)
#print numpy.sum(mask)
i_x = numpy.round(x[mask] * scale).astype(int)
i_y = numpy.round(y[mask] * scale).astype(int)
if (i_x.shape[0] > 0):
channel_data = grid_c.grid2D(i_x,i_y,(image_x*scale,image_y*scale))
else:
channel_data = numpy.zeros((image_x*scale, image_y*scale))
image_data.append(channel_data.astype(numpy.float32))
max_count = numpy.max(channel_data)
if max_count > max_max:
max_max = max_count
max_counts.append(max_count)
return [image_data, self.channels, max_counts, max_max]
def frcCalc2d(h5_name, frc_name, scale = 8, verbose = True, show_plot = True):
"""
Calculate the 2D FRC by putting half the tracks in the first
image and half of them in the second image.
"""
with saH5Py.SAH5Py(h5_name) as h5:
pixel_size = h5.getPixelSize()
n_tracks = h5.getNTracks()
mx, my = h5.getMovieInformation()[:2]
grid1 = numpy.zeros((mx * scale, my * scale), dtype = numpy.int32)
grid2 = numpy.zeros((mx * scale, my * scale), dtype = numpy.int32)
if verbose:
print("Generating images.")
for locs in h5.tracksIterator(fields = ["track_id", "x", "y"]):
if verbose:
sys.stdout.write(".")
sys.stdout.flush()
# We put all the even numbered tracks in the first image, all
# the odd ones in the second.
#
mask = ((locs["track_id"]%2)==0)
i_x = numpy.floor(locs["x"][mask] * scale).astype(numpy.int32)
i_y = numpy.floor(locs["y"][mask] * scale).astype(numpy.int32)
gridC.grid2D(i_x, i_y, grid1)
i_x = numpy.floor(locs["x"][~mask] * scale).astype(numpy.int32)
i_y = numpy.floor(locs["y"][~mask] * scale).astype(numpy.int32)
gridC.grid2D(i_x, i_y, grid2)
if verbose:
sys.stdout.write("\n")
# Compute FFT
if verbose:
print(numpy.sum(grid1), "points in image 1.")
print(numpy.sum(grid2), "points in image 2.")
print("Calculating FRC.")
grid1_fft = numpy.fft.fftshift(numpy.fft.fft2(grid1))
grid2_fft = numpy.fft.fftshift(numpy.fft.fft2(grid2))
grid1_fft_sqr = grid1_fft * numpy.conj(grid1_fft)
grid2_fft_sqr = grid2_fft * numpy.conj(grid2_fft)
grid1_grid2 = grid1_fft * numpy.conj(grid2_fft)
[frc, frc_counts] = frcC.frc(grid1_fft, grid2_fft)
for i in range(frc.size):
if (frc_counts[i] > 0):
frc[i] = frc[i]/float(frc_counts[i])
else:
frc[i] = 0.0
xvals = numpy.arange(frc.size)
xvals = xvals/(float(grid1_fft.shape[0]) * pixel_size * (1.0/float(scale)))
frc = numpy.real(frc)
numpy.savetxt(frc_name, numpy.transpose(numpy.vstack((xvals, frc))))
if show_plot:
storm_analysis.configureMatplotlib()
pyplot.scatter(xvals, frc, s = 4, color = 'black')
pyplot.xlim([xvals[0], xvals[-1]])
pyplot.ylim([-0.2,1.2])
pyplot.xlabel("Spatial Frequency (nm-1)")
pyplot.ylabel("Correlation")
pyplot.show()
def render3DImage(i3_reader,
shape,
category=None,
offsets=None,
scale=2,
sigma=None,
z_edges=None):
"""
Create a stack of grayscale images from a Insight3 format binary data.
i3_reader - A readinsight3.I3Reader object.
shape - The shape of the output image. This will be multiplied by scale.
category - Filter for localizations of this category. The default is all categories.
offsets - X,Y offset of the image origin. The default is 0.0.
scale - The 'zoom' level of the output image, i.e. if the original STORM movie was
256x256 and scale = 2 then the output image will be 512x512.
sigma - The sigma to use when rendering gaussians (pixels). If this is None then
the image will be a histogram.
z_edges - A list of z values specifying the z range for each image. This should be
in nanometers.
"""
num_z = len(z_edges) - 1
images = []
for i in range(num_z):
images.append(numpy.zeros((shape[0] * scale, shape[1] * scale)))
# Make sure we are starting at the beginning.
i3_reader.resetFp()
# Load the first block of data.
i3_data = i3_reader.nextBlock()
while (i3_data is not False):
sys.stdout.write(".")
sys.stdout.flush()
# Filter by category, if requested.
if category is not None:
i3_data = i3dtype.maskData(i3_data, (i3_data['c'] == category))
# Adjust by offsets, if specified. Note, not adjusted for scale.
if offsets is not None:
i3_data['xc'] -= offsets[0]
i3_data['yc'] -= offsets[1]
# Adjust x,y by scale.
xc = i3_data['xc'] * scale
yc = i3_data['yc'] * scale
# Iterate through z ranges.
for i in range(num_z):
z_mask = (i3_data['zc'] > z_edges[i]) & (i3_data['zc'] <
z_edges[i + 1])
xc_z = xc[z_mask]
yc_z = yc[z_mask]
# Histogram.
if sigma is None:
images[i] += gridC.grid2D(numpy.round(xc_z), numpy.round(yc_z),
images[0].shape)
# Gaussians.
else:
dg.drawGaussiansXYOnImage(images[i], xc_z, yc_z, sigma=sigma)
# Load next block of data.
i3_data = i3_reader.nextBlock()
print()
return images
def frcCalc2d(h5_name, frc_name, scale=8, verbose=True, show_plot=True):
"""
Calculate the 2D FRC by putting half the tracks in the first
image and half of them in the second image.
"""
with saH5Py.SAH5Py(h5_name) as h5:
pixel_size = h5.getPixelSize()
n_tracks = h5.getNTracks()
mx, my = h5.getMovieInformation()[:2]
grid1 = numpy.zeros((mx * scale, my * scale), dtype=numpy.int32)
grid2 = numpy.zeros((mx * scale, my * scale), dtype=numpy.int32)
if verbose:
print("Generating images.")
for locs in h5.tracksIterator(fields=["track_id", "x", "y"]):
if verbose:
sys.stdout.write(".")
sys.stdout.flush()
# We put all the even numbered tracks in the first image, all
# the odd ones in the second.
#
mask = ((locs["track_id"] % 2) == 0)
i_x = numpy.floor(locs["x"][mask] * scale).astype(numpy.int32)
i_y = numpy.floor(locs["y"][mask] * scale).astype(numpy.int32)
gridC.grid2D(i_x, i_y, grid1)
i_x = numpy.floor(locs["x"][~mask] * scale).astype(numpy.int32)
i_y = numpy.floor(locs["y"][~mask] * scale).astype(numpy.int32)
gridC.grid2D(i_x, i_y, grid2)
if verbose:
sys.stdout.write("\n")
# Compute FFT
if verbose:
print(numpy.sum(grid1), "points in image 1.")
print(numpy.sum(grid2), "points in image 2.")
print("Calculating FRC.")
grid1_fft = numpy.fft.fftshift(numpy.fft.fft2(grid1))
grid2_fft = numpy.fft.fftshift(numpy.fft.fft2(grid2))
grid1_fft_sqr = grid1_fft * numpy.conj(grid1_fft)
grid2_fft_sqr = grid2_fft * numpy.conj(grid2_fft)
grid1_grid2 = grid1_fft * numpy.conj(grid2_fft)
[frc, frc_counts] = frcC.frc(grid1_fft, grid2_fft)
for i in range(frc.size):
if (frc_counts[i] > 0):
frc[i] = frc[i] / float(frc_counts[i])
else:
frc[i] = 0.0
xvals = numpy.arange(frc.size)
xvals = xvals / (float(grid1_fft.shape[0]) * pixel_size *
(1.0 / float(scale)))
frc = numpy.real(frc)
numpy.savetxt(frc_name, numpy.transpose(numpy.vstack((xvals, frc))))
if show_plot:
storm_analysis.configureMatplotlib()
pyplot.scatter(xvals, frc, s=4, color='black')
pyplot.xlim([xvals[0], xvals[-1]])
pyplot.ylim([-0.2, 1.2])
pyplot.xlabel("Spatial Frequency (nm-1)")
pyplot.ylabel("Correlation")
pyplot.show()
