How to detect intersection in a skeleton image?

2016 2 4
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更新时间：2016 6 19
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I got a skeleton from a laser grid. So, there are a lot of spur things, but after "cleaning" I got a "nice" skeleton of my laser grid.
There is a way to detect all the cross points (the nodes)? I'm looking for somethings more stronger than 'branch points' or 'majority' of bwmorph function..
my image is that attached

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