Hi Victor,

The biggest problem is that you’re getting bitten by datatypes. Please read the 
following document:

http://scikit-image.org/docs/dev/user_guide/data_types.html

Specifically, rank_mean is a uint8 image, so only contains integers between 0 
and 255. naive_convolve is a float image, with continuous values between 0 and 
255. Try this:

In [17]: naive_convolve_float = naive_convolve / 255

In [18]: rank_mean_float = rank_mean / 255

In [19]: plt.imshow(np.abs(naive_convolve_float - rank_mean_float), 
cmap='magma')
Out[19]: <matplotlib.image.AxesImage at 0x10d098fd0>

Result:


There is a smaller difference also. Internally, filters.rank uses a fancy 
rolling histogram algorithm with integer data values. This means that the 
result of the rank_mean is only approximately accurate, essentially to within 
integer rounding (good enough for most real-world uses), while the convolve2d 
code gives you an exact value (to within floating point error).

Hope this helps!

Juan.

On 2 Nov 2017, 7:54 PM +1100, Poughon Victor <victor.poug...@cnes.fr>, wrote:
> Hello,
>
> I looks like skimage.filters.rank.mean and scipy.signal.convolve2d don't 
> output exactly the same images. When doing:
>
> image = data.coins()
> K = np.ones((11, 11))
>
> rank_mean = rank.mean(image, selem=K)
> naive_convolve = convolve2d(image, K, mode="same") / K.sum()
>
> All output pixel are different, with an absolute difference varying randomly 
> between 0 and 1. Of course there's also a massive difference at the border, 
> but that's expected because convolve2d treats image boundaries differently. 
> But even in the center of the image all pixels are different. I've made a 
> test script with an illustrated output image, you can check it out in this 
> gist:
>
> https://gist.github.com/vpoughon/b4afc76ce5dc681fda9d0550d41359d3
>
> Am I doing something wrong?
>
> Thanks,
>
> Victor Poughon
>
>
>
>
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