Finding blank regions in image

Question

This question is somewhat language-agnostic, but my tool of choice happens to be a numpy array.

What I am doing is taking the difference of two images via PIL:

Answer 1

I believe scipy's ndimage module has everything you need...

Here's a quick example

import numpy as np
import scipy as sp
import scipy.ndimage.morphology

# The array you gave above
data = np.array( 
        [
           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0], 
           [0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 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, 0, 0, 0, 0, 0, 1, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], 
           [0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0], 
           [0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0], 
           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0], 
           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], 
        ])


# Fill holes to make sure we get nice clusters
filled = sp.ndimage.morphology.binary_fill_holes(data)

# Now seperate each group of contigous ones into a distinct value
# This will be an array of values from 1 - num_objects, with zeros
# outside of any contigous object
objects, num_objects = sp.ndimage.label(filled)

# Now return a list of slices around each object
#  (This is effectively the tuple that you wanted)
object_slices =  sp.ndimage.find_objects(objects)

# Just to illustrate using the object_slices
for obj_slice in object_slices:
    print data[obj_slice]

This outputs:

[[1]]
[[1 1 1]
 [1 1 1]]
[[1 1 1 1]
 [1 0 0 0]
 [1 0 0 1]]
[[1]]
[[0 1 1 0]
 [1 0 0 1]
 [0 1 1 0]]
[[0 0 1 0 0]
 [0 1 1 1 0]
 [1 1 1 1 1]
 [0 1 1 1 0]
 [0 0 1 0 0]]

Note that the "object_slices" are basically what you originally asked for, if you need the actual indicies.

Edit: Just wanted to point out that despite it appearing to properly handle the edge case of

[[1 1 1 1]
 [1 0 0 0]
 [1 0 0 1]]

it actually doesn't (Thus the extra lone [[1]]). You can see this if you print out the "objects" array and take a look at objects 3 & 4.

[[1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0]
 [0 0 0 0 0 0 3 3 3 3 0 0 0 2 2 2 0 0 0 0]
 [0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 3 0 0 4 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 5 5 0 0 0 0 0 0 0 6 0 0 0 0 0]
 [0 0 0 0 5 5 5 5 0 0 0 0 0 6 6 6 0 0 0 0]
 [0 0 0 0 0 5 5 0 0 0 0 0 6 6 6 6 6 0 0 0]
 [0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 0 0]]

Hope that helps!

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