Edit October 2017
  the skimage module now has at least 2 options: skeletonize and thin
  Example with comparison
  from skimage.morphology import thin, skeletonize import numpy as np import matplotlib.pyplot as plt  square = np.zeros((7, 7), dtype=np.uint8) square[1:-1, 2:-2] = 1 square[0, 1] =  1 thinned = thin(square) skel = skeletonize(square)  f, ax = plt.subplots(2, 2) ax[0,0].imshow(square) ax[0,0].set_title('original') ax[0,0].get_xaxis().set_visible(False) ax[0,1].axis('off') ax[1,0].imshow(thinned) ax[1,0].set_title('morphology.thin') ax[1,1].imshow(skel) ax[1,1].set_title('morphology.skeletonize') plt.show() 
  
  Original post
  I have found this solution by joefutrelle on github. 
  It seems (visually) to give similar results as the Matlab version. 
  Hope that helps!
  Edit:
  As it was pointed out in the comments, I'll extend my initial post as the mentioned link might change:
  Looking for a substitute in Python for bwmorph from Matlab I stumbled upon the following code from joefutrelle on Github (at the end of this post as it's very long).
  I have figured out two ways to implement this into my script (I'm a beginner and I'm sure there are better ways!):
  1) copy the whole code into your script and then call the function (but this makes the script harder to read)
  2) copy the code it in a new python file 'foo' and save it. Now copy it in the Python\Lib (eg. C:\Program Files\Python35\Lib) folder. In your original script you can call the function by writing: 
  from foo import bwmorph_thin
  Then you'll feed the function with your binary image:
  
  skeleton = bwmorph_thin(foo_image, n_iter = math.inf) 
  
  import numpy as np from scipy import ndimage as ndi  # lookup tables for bwmorph_thin  G123_LUT = np.array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1,        0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,        0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0,        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0,        1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,        0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,        0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,        0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0,        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1,        0, 0, 0], dtype=np.bool)  G123P_LUT = np.array([0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0,        0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0,        1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,        0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0,        0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0,        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,        0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0,        1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1,        0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,        0, 0, 0], dtype=np.bool)  def bwmorph_thin(image, n_iter=None):     """     Perform morphological thinning of a binary image      Parameters     ----------     image : binary (M, N) ndarray         The image to be thinned.      n_iter : int, number of iterations, optional         Regardless of the value of this parameter, the thinned image         is returned immediately if an iteration produces no change.         If this parameter is specified it thus sets an upper bound on         the number of iterations performed.      Returns     -------     out : ndarray of bools         Thinned image.      See also     --------     skeletonize      Notes     -----     This algorithm [1]_ works by making multiple passes over the image,     removing pixels matching a set of criteria designed to thin     connected regions while preserving eight-connected components and     2 x 2 squares [2]_. In each of the two sub-iterations the algorithm     correlates the intermediate skeleton image with a neighborhood mask,     then looks up each neighborhood in a lookup table indicating whether     the central pixel should be deleted in that sub-iteration.      References     ----------     .. [1] Z. Guo and R. W. Hall, "Parallel thinning with            two-subiteration algorithms," Comm. ACM, vol. 32, no. 3,            pp. 359-373, 1989.     .. [2] Lam, L., Seong-Whan Lee, and Ching Y. Suen, "Thinning            Methodologies-A Comprehensive Survey," IEEE Transactions on            Pattern Analysis and Machine Intelligence, Vol 14, No. 9,            September 1992, p. 879      Examples     --------     >>> square = np.zeros((7, 7), dtype=np.uint8)     >>> square[1:-1, 2:-2] = 1     >>> square[0,1] =  1     >>> square     array([[0, 1, 0, 0, 0, 0, 0],            [0, 0, 1, 1, 1, 0, 0],            [0, 0, 1, 1, 1, 0, 0],            [0, 0, 1, 1, 1, 0, 0],            [0, 0, 1, 1, 1, 0, 0],            [0, 0, 1, 1, 1, 0, 0],            [0, 0, 0, 0, 0, 0, 0]], dtype=uint8)     >>> skel = bwmorph_thin(square)     >>> skel.astype(np.uint8)     array([[0, 1, 0, 0, 0, 0, 0],            [0, 0, 1, 0, 0, 0, 0],            [0, 0, 0, 1, 0, 0, 0],            [0, 0, 0, 1, 0, 0, 0],            [0, 0, 0, 1, 0, 0, 0],            [0, 0, 0, 0, 0, 0, 0],            [0, 0, 0, 0, 0, 0, 0]], dtype=uint8)     """     # check parameters     if n_iter is None:         n = -1     elif n_iter <= 0:         raise ValueError('n_iter must be > 0')     else:         n = n_iter      # check that we have a 2d binary image, and convert it     # to uint8     skel = np.array(image).astype(np.uint8)      if skel.ndim != 2:         raise ValueError('2D array required')     if not np.all(np.in1d(image.flat,(0,1))):         raise ValueError('Image contains values other than 0 and 1')      # neighborhood mask     mask = np.array([[ 8,  4,  2],                      [16,  0,  1],                      [32, 64,128]],dtype=np.uint8)      # iterate either 1) indefinitely or 2) up to iteration limit     while n != 0:         before = np.sum(skel) # count points before thinning          # for each subiteration         for lut in [G123_LUT, G123P_LUT]:             # correlate image with neighborhood mask             N = ndi.correlate(skel, mask, mode='constant')             # take deletion decision from this subiteration's LUT             D = np.take(lut, N)             # perform deletion             skel[D] = 0          after = np.sum(skel) # coint points after thinning          if before == after:             # iteration had no effect: finish             break          # count down to iteration limit (or endlessly negative)         n -= 1      return skel.astype(np.bool)  """ # here's how to make the LUTs  def nabe(n):     return np.array([n>>i&1 for i in range(0,9)]).astype(np.bool)  def hood(n):     return np.take(nabe(n), np.array([[3, 2, 1],                                       [4, 8, 0],                                       [5, 6, 7]])) def G1(n):     s = 0     bits = nabe(n)     for i in (0,2,4,6):         if not(bits[i]) and (bits[i+1] or bits[(i+2) % 8]):             s += 1     return s==1  g1_lut = np.array([G1(n) for n in range(256)])  def G2(n):     n1, n2 = 0, 0     bits = nabe(n)     for k in (1,3,5,7):         if bits[k] or bits[k-1]:             n1 += 1         if bits[k] or bits[(k+1) % 8]:             n2 += 1     return min(n1,n2) in [2,3]  g2_lut = np.array([G2(n) for n in range(256)])  g12_lut = g1_lut & g2_lut  def G3(n):     bits = nabe(n)     return not((bits[1] or bits[2] or not(bits[7])) and bits[0])  def G3p(n):     bits = nabe(n)     return not((bits[5] or bits[6] or not(bits[3])) and bits[4])  g3_lut = np.array([G3(n) for n in range(256)]) g3p_lut = np.array([G3p(n) for n in range(256)])  g123_lut  = g12_lut & g3_lut g123p_lut = g12_lut & g3p_lut """`