Hello,
To convert a 3D edge-connected skeleton into a face-connected skeleton, you can use morphological operations to enforce 6-connectivity. Here's the implementation of the same:
% Sample 3D skeleton (binary volume)
skeleton = rand(10, 10, 10) > 0.8; % Random binary 3D matrix
% Create a new binary volume for the face-connected skeleton
faceConnectedSkeleton = false(size(skeleton));
% Label connected components using 26-connectivity
cc = bwconncomp(skeleton, 26);
% Iterate over each connected component
for i = 1:cc.NumObjects
% Extract the current component
component = false(size(skeleton));
component(cc.PixelIdxList{i}) = true;
% Ensure face connectivity by dilating and eroding
faceConnected = imerode(imdilate(component, strel('cube', 3)), strel('cube', 3));
% Add the face-connected component to the new skeleton
faceConnectedSkeleton = faceConnectedSkeleton | faceConnected;
end
% Visualize the results
figure;
subplot(1, 2, 1);
isosurface(skeleton);
title('Original Edge-Connected Skeleton');
axis equal; view(3);
subplot(1, 2, 2);
isosurface(faceConnectedSkeleton);
title('Face-Connected Skeleton');
axis equal; view(3);
- The 'skeleton' variable is a binary 3D matrix representing the initial edge-connected skeleton.
- 'bwconncomp' is used to label connected components in the skeleton using 26-connectivity.
- 'imdilate' and 'imerode' are used with a 3x3x3 structuring element to enforce face connectivity. This ensures that each voxel is connected to its 6 face neighbors.
- 'isosurface' is used to visualize the original and face-connected skeletons.
Refer to the following documentation links to read more about the respective functions:
- bwconncomp: https://www.mathworks.com/help/images/ref/bwconncomp.html
- strel: https://www.mathworks.com/help/images/ref/strel.html
This implementation provides a basic approach to converting an edge-connected skeleton to a face-connected one.
