个人简介
教育经历
2003.09-2007.07 南京大学 信息与计算科学 本科
2007.09-2012.07 中国科学技术大学 计算数学 博士研究生 专业方向:计算机辅助几何设计
2010.08-2012.04 美国莱斯大学(Rice) 计算数学 联合培养
工作经历
2012.08-2016.12 哈尔滨工业大学理学院数学系 讲师
2016.12-至今 哈尔滨工业大学理学院数学系 副教授
近期论文
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Implicitizing rational surfaces without base points by moving planes and moving quadrics Yisheng Lai, Falai Chen, Xiaoran Shi 期刊名称 Computer Aided Geometric Design 期卷 2019(70),1-15.
Survey on the theory and applications of μ-bases for rational curves and surfaces Xiaohong Jia, Xiaoran Shi, Falai Chen 期刊名称 Journal of Computational and Applied Mathematics 期卷 2018,329: 2–23
Using moving planes to implicitize rational surfaces generated from a planar curve and a space curve XiaoranShi 期刊名称 Computer Aided Geometric Design 期卷 2014,31: 631–641
Using a Bihomogeneous Resultant to Find the Singularities of Rational Space Curves Xiaoran Shi, Xiaohong Jia, Ron Goldman 期刊名称 Journal of Symbolic Computation 期卷 2013,53: 1-25
Using mu-bases to Implicitize Rational Surfaces with a Pair of Orthogonal Directrices Xiaoran Shi, Xuhui Wang, Ron Goldman 期刊名称 Geometric Modeling and Processing (GMP) 2012, Computer Aided Geometric Design Special Issue 期卷 2012, 29(7): 541-554
Implicitizing Surfaces of Revolution using mu-bases Xiaoran Shi, Ron Goldman 期刊名称 Computer Aided Geometric Design 期卷 2012,29: 348-362.
Computing the singularities of rational space curves Xiaoran Shi, Falai Chen 期刊名称 Proceedings of the International Symposium on Symbolic and Algebraic computation (ISSAC) 2010, ACM Press 期卷 2010,pp.171 -178.