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Erschienen in:
2013 | OriginalPaper | Buchkapitel
Slanted Orthogonal Drawings
verfasst von : Michael A. Bekos, Michael Kaufmann, Robert Krug, Stefan Näher, Vincenzo Roselli
Erschienen in: Graph Drawing
Verlag: Springer International Publishing
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We introduce a new model that we call
slanted orthogonal graph drawing
. While in traditional orthogonal drawings each edge is made of axis-aligned line-segments, in slanted orthogonal drawings intermediate diagonal segments on the edges are also permitted, which allows for: (a) smoothening the bends of the produced drawing (as they are replaced by pairs of “half-bends”), and, (b) emphasizing the crossings of the drawing (as they always appear at the intersection of two diagonal segments). We present an approach to compute bend-optimal slanted orthogonal representations, an efficient heuristic to compute close-to-optimal drawings in terms of the total number of bends using quadratic area, and a corresponding LP formulation, when insisting on bend optimality. On the negative side, we show that bend-optimal slanted orthogonal drawings may require exponential area.