I am getting to the point where I am over thinking the problem. I have a street layer and I have generated a geodatabase street network, so I can get the intersection points for the street network. This not a single line street network, but regular streets layer where collector roads can have two line segments representing the E-W or N-S directions on separate line segments. My issue is where two sets of collector roads meet at one intersection. At this location I can have 8 arcs feeing into 4 intersection points to represent one one road intersection. See attached document.
I need to find the point centroid of the intersect!!! I was going down the route of finding the clusters of points and buffering, with the intention of creating a point centroid of the buffer polygon. This has not been working so well because there is not a common attribute to dissolve of buffers on for each polygon.
I then went down the path density based clustering, but cannot determine the proper attributes once again. Any help would be greatly appreciated.