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POReducing Local Neighbourhood of pixels
 

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    <p>I have recently come across a problem that I cannot seem to solve. I have a processed image that contains a number of pixels spread out across the entire image in small 'local' groups. I would like to find the 'centre' as it were of each group and place a single pixel in the output image as a representative of each group. The groupings can either be a closely knit group with no pixel zero spacing between them or a smaller spread out group with only a few (less than 4~5 pixels) between them. My first thought was to use something along the lines of morphological erosion but this doesn't account for the case of slightly more spread out groups of pixels. I would just like to know if someone can point me in the right direction. The following is an example of what I would like to do: <img src="https://i.imgur.com/DCzcI.png" alt="Local Group"> The left hand side image shows the input (the big black dot represents a group of pixels with no zeroes between them) and the right hand side image is an example of the type of output or processed image I would like to have. Finally I am using MATLAB and it can be assumed that the input image is a binary image (either with black being 1 or 0 either way the logic should be the same). </p> <p>Thanks so much for your help!</p> <p>EDIT: Thanks everyone for their input - I will be trying out the different solutions over the next day or so and I will try to reply to everyone whence I'm done. Thank you all so much for your insightful inputs - it is greatly appreciated.</p>
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    1. COCan the clusters always be grouped using a uniform rectangular grid, as in the example image? If so, do you know how much apart they are?
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    2. COIs there a hard boundary on how far apart the points have to be before they are considered to be in different clusters? Are the clusters always circular or could you have oblong clusters?
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    3. COSorry the clusters are randomly spread out and not always in a grid-like grouping as above. Well I didn't make it perfectly clear in the post above then but pixels that are more than 5 pixels away from another can be considered a separate cluster. Furthermore the clusters of pixels can assume any shape - they are just a collection of pixels at roundabout the same place.
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