Connectivity in binary 3D matrix

26 views (last 30 days)
Xen on 19 Nov 2015
Commented: Image Analyst on 30 Dec 2018
I am using bwconncomp to find the largest connected component in a 3D binary matrix (volume). However, it doesn't work the way I want. Specifically, the code is
conncomp = bwconncomp(volume, 6);
% Identify the largest component using cellfun.
[~, maxcell] = max(cellfun(@numel, conncomp.PixelIdxList));
% Zero the image and assign to it the largest component.
volume = zeros(size(volume));
volume(conncomp.PixelIdxList{1, maxcell}) = 1;
Take a look at the figure below. Imagine that these are just profiles of the "slices" in the 3rd dimension. At the top is the original volume, at the center is what I get using this code, and at the bottom is what I want. bwconncomp skips a part of the large 3D object by cutting it in the slice where it is first split in two (slice 7 from left). I want to preserve that part because it is part of the object, as shown at the bottom. Changing connectivity doesn't help.
The person who solves this is my hero! Any suggestions? Many thanks.
Edit: it seems that when I try this on small 3x3x3 matrices it works fine, but not on my large images. So I also attached an example TIFF stack and the analysed one to see what I mean. For example, slices 10 and 12 in the analysed image should but do not include some connected areas.

Accepted Answer

Image Analyst
Image Analyst on 19 Nov 2015
I guess I'll be your hero. There is (now) a built-in function for this. It's called bwareafilt(). It came in the last few versions so hope you have a recent version. If not, you can try my attached function that I used for older MATLAB versions when they did not have bwareafilt(), but I have not tested it on 3D binary images, just 2D images.
Image Analyst
Image Analyst on 30 Dec 2018
There seems to be no bwareafilt3() yet, so you'll have to do a workaround. First find all the blob volumes with regionprops3() then sort them to find the 3 biggest ones. Then use bwareaopen() which does seem to take a 3-D binary image to filter out all but the 3 biggest.
props = regionprops(binaryImage3d, 'Volume')
sortedVolumes = sort([props.Volume], 'descend')
thirdBiggest = sortedVolumes(3);
% Pull out 3 biggest into another 3-D logical image.
binaryImage2 = bwareaopen(binaryImage3d, thirdbiggest);

Sign in to comment.

More Answers (0)

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by