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based on an earlier version of the Wolfram Language.
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MorphologicalBranchPoints

MorphologicalBranchPoints
gives a version of a binary image image in which white pixels represent the morphological branch points.
Branch points of a skeleton object:
Connecting points of a printed circuit board:
Grid points of a distorted grid:
Branch points of a skeleton object:
In[1]:=
Click for copyable input
Out[1]=
 
Connecting points of a printed circuit board:
In[1]:=
Click for copyable input
Out[1]=
 
Grid points of a distorted grid:
In[1]:=
Click for copyable input
Out[1]=
Branch points of a grayscale image:
New in 8