Abstract: A computer-assisted method for routing breakouts includes finding a matching for a group of pins and vias, and then routing paths between matching pin-via pairs. The matching is computed efficiently and quickly by creating convex hull data structures to represent the pins and vias, and then computing a common tangent from these convex hull structures. The endpoints of the common tangent comprise matching pin-via pairs. A matching pair is routed to find a path between a pin and via pair that achieves predefined design constraints. The method can be extended to routing wire bond connections as well.