摘要
利用Ricci曲率流将原曲面上的面元测度前推到目标参数域上形成初始面元测度,对初始面元测度或目标面元测度进行变换,以构造一系列连续变换的面元测度序列,然后计算面元测度间的最优传输映射并构建连续变换的参数化序列簇。通过莫比乌斯变换、曲率强化和重要性驱动3种方式对面元测度进行变换实验,结果表明,相比拟等积方法,该方法可以构造出多种不同的参数化序列簇,并能取得较好的特殊参数化效果。
Using Ricci curvature flow,the original surface panel measure is pushed forward to the target parameter domain to form the initial panel measure.After transforming the initial panel measure or the target panel measure,a series of continuous transformation panel measure sequences are constructed.Then the parameterized sequence clusters of continuous transformation is constructed by calculating the optimal transmission mapping between the panel measures.The transformation experiments are carried out by using Moebius transformation,curvature reinforcement and importance drive,and results show that compared with the Quasi-area method,this method can construct a variety of different parameterized sequence clusters and achieve better special parameterized effect.
作者
夏诗羽
苏科华
陈彩玲
XIA Shiyu;SU Kehua;CHEN Cailing(School of Computer Science,Wuhan University,Wuhan 430072,China)
出处
《计算机工程》
CAS
CSCD
北大核心
2019年第1期264-269,277,共7页
Computer Engineering
基金
国家自然科学基金(61772379)
关键词
参数化序列簇
最优传输映射Ricci曲率流
测度控制
莫比乌斯变换
parameterized sequence clusters
optimal transmission mapping
Ricci curvature flow
measure control
Moebius transformation
