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Overlapping Area Computation between Irregular Polygons for Its Evolutionary Layout Based on Convex Decomposition

机译:基于凸分解的不规则多边形之间的重叠区域计算及其演化布局

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Low efficiency of interference calculation hasbecome the bottleneck that restricts further development ofthe performance of evolutionary algorithm for the polygonlayout. To solve the problem, in this paper, we propose analgorithm of calculating overlapping area between twoirregular polygons. For this algorithm, at first, two irregularpolygons are respectively decomposed into the minimumnumber of convex polygons; afterwards, each pair of theoverlapping convex polygons from two resulting partitionsis clipped and their overlapping area is calculated. Becausethrough a fast non-overlapping test to all pairs of convexpolygons to be clipped, invalid computation is decreased; bymaking use of simple internal vertex judgment and sheartransformationbased on intersecting test and intersectioncalculation between a line segment and any convex brokenline segment, its speed of clipping overlapping convexpolygons is improved. The time complexity analysis andnumerical experiments indicate that the performance of ourpresented algorithm superiors to the existing algorithms.
机译:干扰计算效率低下已成为制约多边形布局进化算法性能进一步发展的瓶颈。为了解决这个问题,本文提出了一种计算两个不规则多边形之间重叠面积的算法。对于该算法,首先,将两个不规则多边形分别分解为最小数量的凸多边形。然后,从两个结果分割中截取每对重叠的凸多边形,并计算它们的重叠面积。因为通过对所有要裁剪的凸多边形对进行快速不重叠测试,所以减少了无效计算;通过使用简单的内部顶点判断和基于相交测试和线段与任何凸折线段之间的相交计算的剪切变换,提高了剪切重叠凸多边形的速度。时间复杂度分析和数值实验表明,本文算法的性能优于现有算法。

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