Pii: S0925-7721(01)00066-9
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چکیده
We investigate the problem of drawing an arbitrary n-node binary tree orthogonally and upwardly in an integer grid using straight-line edges. We show that one can simultaneously achieve good area bounds while also allowing the aspect ratio to be chosen as a fixed constant or a parameter under the user’s control. In addition, we show that one can also achieve an additional desirable aesthetic criterion, which we call “subtree separation”. Our drawings require O(n logn) area, which we show is optimal to within constant factors in the worst case (i.e. there are trees that need (n logn) area for any upward orthogonal straight-line drawing with good aspect ratio). An improvement for non-upward drawings is briefly mentioned. 2001 Elsevier Science B.V. All rights reserved.
منابع مشابه
Pii: S0925-7721(01)00015-3
In this paper we present a heuristic to reconstruct nonsmooth curves with multiple components. Experiments with several input data reveals the effectiveness of the algorithm in contrast with the other competing algorithms. 2001 Elsevier Science B.V. All rights reserved.
متن کاملPii: S0925-7721(01)00068-2
Reconstruction of polygons from visibility information is known to be a difficult problem in general. In this paper, we consider a special case: reconstruction of orthogonal polygons from horizontal and vertical visibility information and show that this reconstruction can be performed in O(n logn) time. 2002 Elsevier Science B.V. All rights reserved.
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تاریخ انتشار 2001