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个人信息Personal Information
教授
博士生导师
硕士生导师
主要任职：软件学院（大连理工大学-立命馆大学国际信息与软件学院）党委书记
性别：女
毕业院校：吉林大学
学位：博士
所在单位：软件学院、国际信息与软件学院
学科：软件工程. 计算数学. 计算机应用技术
办公地点：大连理工大学开发区校区信息楼309室
联系方式：nalei@dlut.edu.cn
电子邮箱：nalei@dlut.edu.cn
Surface parameterization based on polar factorization
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论文类型：期刊论文
发表时间：2018-02-01
发表刊物：Journal of Computational and Applied Mathematics
收录刊物：SCIE、EI、CPCI-S、Scopus
卷号：329
页面范围：24-36
ISSN号：03770427
关键字：Polar factorizations; Optimal mass transportation; Conformal mapping
摘要：A mapping between measurable subsets of Euclidean space can be uniquely factorized to the composition of a measure-preserving mapping and an optimal transportation map, the later is also the gradient map of a convex function. This work introduces an algorithm based on variational approach to compute this type of polar factorization for mappings between planar domains and some direct applications. Our method greatly increases the flexibility for surface parameterizations by balancing between area distortion and angle distortion, and improves the accuracy and numerical stability for down steam geometric processing tasks. ? 2017 Elsevier B.V.