I am trying to analyze greyscale TIFF stacks, in which a given frame will look like this. I filter it (using Gaussian blur), and then binarize it (using Otsu's method for threshold).

MATLAB code, which works great:

image_conncomp = bwconncomp(image_binary); # entire stack is held in image_binary

for i=1:image_conncomp.NumObjects
    object_size = length(image_conncomp.PixelIdxList{i});
end

Each white spot in the example image is picked up, and its volume (in pixels) is pretty accurately given by object_size.

Python code:

from skimage import measure

labels = measure.label(image_binary, background=1) # same image_binary as above
propsa = measure.regionprops(labels)

for label in propsa:
    object_size = len(label.coords)

The Python code seems to work decently... except that most detected objects will have object_size of 1 - 200, and then a couple will have a size of several thousand pixels.

What are these functions doing differently? I would be happy to try another approach in Python to get calculate object sizes, but I struggled to find another one. It'd be great to have a Python version of this code, if I could find a good substitute for Matlab's bwconncomp function.

Something like this?

from skimage.io import imread, imshow
from skimage.filters import gaussian, threshold_otsu
from skimage import measure
import matplotlib.pyplot as plt

original = imread('https://i.stack.imgur.com/nkQpj.png')
blurred = gaussian(original, sigma=.8)
binary = blurred > threshold_otsu(blurred)
labels = measure.label(binary)

plots = {'Original': original, 'Blurred': blurred, 
         'Binary': binary, 'Labels': labels}
fig, ax = plt.subplots(1, len(plots))
for n, (title, img) in enumerate(plots.items()):
    cmap = plt.cm.gnuplot if n == len(plots) - 1 else plt.cm.gray
    ax[n].imshow(img, cmap=cmap)
    ax[n].axis('off')
    ax[n].set_title(title)
plt.show(fig)

props = measure.regionprops(labels)
for prop in props:
    print('Label: {} >> Object size: {}'.format(prop.label, prop.area))

Output:

Label: 1 >> Object size: 37
Label: 2 >> Object size: 66
Label: 3 >> Object size: 1