Create a center node based on both polygon and line shapefile

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Sorry for cross posting. I want to develop a node layer from two other layers. One of the layers is a polygon contains a series of zones. Another layer is a line layer of roads. The nodes I want to create are basically, for each zone, centers of the roads instead of center of zone. For example, if a zone contains a park in the north with no roads there (zone 2), the node should be on the south side based on the roadway density in zone 2. Am I able to do that?



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