What's the most efficient way to isolate a connected region in a binary image given a point contained within that region?
There is a morphological function specially made for this . It's call imreconstruct(). You pass in a binary image, and a marker image. The marker image has at least one pixel for all the blobs you want to extract/keep out of your binary image. For example the marker image could be all false/0 except true/1 at the one single dot that you mentioned. Any blob in yoru binary image that has a pixel in it from the marker image will be kept (extracted). See this example:
markerImage = false(size(binaryImage)); % Initialize to all false. markerImage(row, column) = true; % Set one pixel to be true. % Now extract only the blob that has the dot in it. keeperBlobs = imreconstruct(binaryImage, markerImage);
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