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Finding areas of beings in microscopic image


I've got lots of images of diatoms. I need to get a list of their equivalent radii.


some diatoms


more diatoms


It's not crucial to get them all, as long as those missed don't mess with the radius distribution (as would happen if it always missed the biggest ones or the smallest ones).


I am having trouble mainly because sometimes two little beings end up overlapping, in which case I would need to either separate them or at least discard them. Also, even though some may look like hollow, or even split in two, they are actually one. So


images = Import /@ {"http://i.stack.imgur.com/y7vag.jpg", 

"http://i.stack.imgur.com/XQJlW.jpg",
"http://i.stack.imgur.com/gGTro.jpg"};

preproc[im_] :=
ColorConvert[im, "GrayScale"] // Binarize // ColorNegate //
FillingTransform // MorphologicalComponents // Colorize

FlipView[{#, preproc @ #}] & /@ images // TabView

diatoms after image processing



An example of an image with the beings approximately rounded manually can be seen here:


measuring the diatoms


I would appreciate any ideas. Thanks!


Note: a semi-automatic solution can still save a lot of time




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