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有理Bézier曲线的近似弦长参数化算法
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作者 李效伟 孙黎 +1 位作者 杨义军 曾薇 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2019年第9期1622-1627,共6页
只有圆弧、等轴双曲线、伯努利双纽线和帕斯卡蚶线等曲线是可弦长参数化曲线,一般形式的Bézier曲线不满足可弦长参数化条件.为了生成有理n次Bézier曲线的近似弦长参数化,提出一种基于数值优化的弦长参数优化算法.首先推导了有... 只有圆弧、等轴双曲线、伯努利双纽线和帕斯卡蚶线等曲线是可弦长参数化曲线,一般形式的Bézier曲线不满足可弦长参数化条件.为了生成有理n次Bézier曲线的近似弦长参数化,提出一种基于数值优化的弦长参数优化算法.首先推导了有理2次、3次和4次Bézier曲线满足弦长参数化的条件;然后对一般形式的有理n次Bézier曲线作M bius变换,根据可弦长参数化条件推导出曲线与标准弦长参数化的偏差公式;最后通过优化方法计算曲线的最优参数表示.多个数值实例结果表明,该算法是有效的. 展开更多
关键词 有理BÉZIER曲线 近似弦长参数化 MOBIUS变换 数值优化
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An MDL approach to efficiently discover communities in bipartite network 被引量:1
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作者 徐开阔 曾春秋 +2 位作者 元昌安 李川 唐常杰 《Journal of Central South University》 SCIE EI CAS 2014年第4期1353-1367,共15页
An minimum description length(MDL) criterion is proposed to choose a good partition for a bipartite network. A heuristic algorithm based on combination theory is presented to approach the optimal partition. As the heu... An minimum description length(MDL) criterion is proposed to choose a good partition for a bipartite network. A heuristic algorithm based on combination theory is presented to approach the optimal partition. As the heuristic algorithm automatically searches for the number of partitions, no user intervention is required. Finally, experiments are conducted on various datasets, and the results show that our method generates higher quality results than the state-of-art methods, cross-association and bipartite, recursively induced modules. Experiment results also show the good scalability of the proposed algorithm. The method is applied to traditional Chinese medicine(TCM) formula and Chinese herbal network whose community structure is not well known, and found that it detects significant and it is informative community division. 展开更多
关键词 community detection bipartite network minimum description length
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