Rearrange Binary regions based on centroids

I have a binary map, BW, and the Centroids for each region in BW. If I randomize the Centroids, how can I create another binary map with the same region shapes as BW but whose centers corresponds to the randomized Centroids?

Answer 1

[Image Analyst]

Get the blobs, use regionprops() to find their bounding box and then use indexing to extract out the bounding box as subimages. Then create a new, blank canvass (image) and paste the subimages in at random locations. See my copy and paste demo, attached.