Force-Directed Lombardi-Style Graph Drawing

Chernobelskiy, Roman and Cunningham, Kathryn I. and Goodrich, Michael T. and Kobourov, Stephen G. and Trott, Lowell (2012) Force-Directed Lombardi-Style Graph Drawing. In: Graph Drawing 19th International Symposium, GD 2011, September 21-23, 2011 , pp. 320-331(Official URL: 10.1007/978-3-642-25878-7_31).

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A Lombardi drawing of a graph is one in which vertices are represented as points, edges are represented as circular arcs between their endpoints, and every vertex has perfect angular resolution (equal angles between consecutive edges, as measured by the tangents to the circular arcs at the vertex). We describe two algorithms that create “Lombardi-style” drawings (which we also call near-Lombardi drawings), in which all edges are still circular arcs, but some vertices may not have perfect angular resolution. Both of these algorithms take a force-directed, spring-embedding approach, with one using forces at edge tangents to produce curved edges and the other using dummy vertices on edges for this purpose. As we show, these approaches produce near-Lombardi drawings, with one being slightly better at achieving near-perfect angular resolution and the other being slightly better at balancing edge placements.

Item Type: Conference Paper
Additional Information: 10.1007/978-3-642-25878-7_31
Classifications: M Methods > M.400 Force-directed / Energy-based
P Styles > P.300 Curved

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