Edit Profile (opens in new tab) Shen, Liyong Co-Author Distance Author ID: shen.liyong Published as: Shen, Li-Yong; Shen, Liyong; Shen, L. more...less Homepage: https://people.ucas.ac.cn/~shenly?language=en External Links: ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 37 Publications since 2005, including 2 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 34 Co-Authors with 37 Joint Publications 1,077 Co-Co-Authors all top 5 Co-Authors 1 single-authored 13 Pérez-Díaz, Sonia 7 Yuan, Chunming 3 Chen, Falai 3 Deng, Jiansong 3 Gao, Xiaoshan 3 Goldman, Ronald N. 3 Wu, Min 3 Yang, Zhengfeng 3 Zeng, Zhenbing 2 Chionh, Engwee 2 Feng, Ruyong 2 Feng, Shuang 2 Feng, Yifei 2 Jia, Xiaohong 2 Ma, Hongyu 1 Alcazar, Juan Gerardo 1 Benedicto, Rafael Magdalena 1 Chen, Liangyu 1 Chen, Ying 1 Cheng, Jinsan 1 de Sevilla, Marian Fernández 1 He, Shitao 1 Hermoso Ortiz, Carlos 1 Hu, Wenkai 1 Jiang, Xin 1 Jin, Zhirong 1 Jüttler, Bert 1 Leng, Tuo 1 Li, Jia 1 Li, Xin 1 Sederberg, Thomas W. 1 Wu, Wenyuan 1 Yao, Shanshan 1 Zou, Qiang all top 5 Serials 10 Computer Aided Geometric Design 7 Journal of Systems Science and Complexity 3 Journal of Computational and Applied Mathematics 2 Journal of Symbolic Computation 1 Computer Methods in Applied Mechanics and Engineering 1 Computing 1 Theoretical Computer Science 1 Advances in Applied Mathematics 1 Journal of Systems Science and Mathematical Sciences 1 Journal of Jilin University. Science Edition 1 ACM Communications in Computer Algebra 1 Communications in Mathematics and Statistics 1 SIAM Journal on Applied Algebra and Geometry all top 5 Fields 27 Numerical analysis (65-XX) 15 Computer science (68-XX) 13 Algebraic geometry (14-XX) 2 Commutative algebra (13-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 124 times in 62 Documents Cited by ▼ Year ▼ Computing \(\mu\)-bases of rational curves and surfaces using polynomial matrix factorization. Zbl 1360.14141 Deng, Jiansong; Chen, Falai; Shen, Liyong 18 2005 Characterization of rational ruled surfaces. Zbl 1294.65023 Shen, Li-Yong; Pérez-Díaz, Sonia 13 2014 Implicitization and parametrization of quadratic and cubic surfaces by \(\mu\)-bases. Zbl 1116.65023 Chen, F.; Shen, L.; Deng, J. 12 2007 Implicitization using univariate resultants. Zbl 1213.14093 Shen, Liyong; Yuan, Chunming 11 2010 Collision and intersection detection of two ruled surfaces using bracket method. Zbl 1210.65054 Chen, Ying; Shen, Li-Yong; Yuan, Chun-Ming 10 2011 Certified approximation of parametric space curves with cubic \(B\)-spline curves. Zbl 1251.65014 Shen, Li-Yong; Yuan, Chun-Ming; Gao, Xiao-Shan 8 2012 Strong \(\mu\)-bases for rational tensor product surfaces and extraneous factors associated to bad base points and anomalies at infinity. Zbl 1371.68300 Shen, Li-Yong; Goldman, Ron 8 2017 Homeomorphic approximation of the intersection curve of two rational surfaces. Zbl 1256.65022 Shen, Li-Yong; Cheng, Jin-San; Jia, Xiaohong 7 2012 Computing \(\mu\)-bases from algebraic ruled surfaces. Zbl 1418.65027 Shen, Li-Yong 7 2016 Inherently improper surface parametric supports. Zbl 1108.65010 Chionh, Eng-Wee; Gao, Xiao-Shan; Shen, Li-Yong 4 2006 Determination and (re)parametrization of rational developable surfaces. Zbl 1355.65029 Shen, Liyong; Pérez-Díaz, Sonia 4 2015 Algorithms for computing strong \(\mu\)-bases for rational tensor product surfaces. Zbl 1366.65033 Shen, Li-Yong; Goldman, Ron 4 2017 Proper reparametrization for inherently improper unirational varieties. Zbl 1300.14060 Shen, Liyong; Chionh, Engwee; Gao, Xiao-Shan; Li, Jia 3 2011 Numerical proper reparametrization of parametric plane curves. Zbl 1302.65049 Shen, Li-Yong; Pérez-Díaz, Sonia 3 2015 Generating exact nonlinear ranking functions by symbolic-numeric hybrid method. Zbl 1282.90123 Shen, Liyong; Wu, Min; Yang, Zhengfeng; Zeng, Zhenbing 3 2013 Parametrization of translational surfaces. Zbl 1345.65010 Pérez-Díaz, Sonia; Shen, Li-Yong 2 2014 Finding positively invariant sets of a class of nonlinear loops via curve fitting. Zbl 1356.68147 Shen, Liyong; Wu, Min; Yang, Zhengfeng; Zeng, Zhenbing 1 2009 Computing the intersections of three conics according to their Jacobian curve. Zbl 1323.51009 Feng, Ruyong; Shen, Li-Yong 1 2016 Numerical polynomial reparametrization of rational curves. Zbl 1473.14112 Shen, Li-Yong; Pérez-Díaz, Sonia 1 2019 Parameterization of rational translational surfaces. Zbl 1455.14114 Pérez-Díaz, Sonia; Shen, Li-Yong 1 2020 A symbolic-numeric approach for parametrizing ruled surfaces. Zbl 1446.14037 Pérez-Díaz, Sonia; Shen, Li-Yong 1 2020 Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using \(\mu \)-basis. Zbl 1465.14056 Pérez-Díaz, Sonia; Shen, Li-Yong 1 2021 ISSAC 2019 software presentations communicated by Yue Ren: a package to compute implicit equations for rational curves and surfaces. Zbl 07659267 Yao, Shanshan; Feng, Yifei; Jia, Xiaohong; Shen, Li-Yong 1 2019 Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using \(\mu \)-basis. Zbl 1465.14056 Pérez-Díaz, Sonia; Shen, Li-Yong 1 2021 Parameterization of rational translational surfaces. Zbl 1455.14114 Pérez-Díaz, Sonia; Shen, Li-Yong 1 2020 A symbolic-numeric approach for parametrizing ruled surfaces. Zbl 1446.14037 Pérez-Díaz, Sonia; Shen, Li-Yong 1 2020 Numerical polynomial reparametrization of rational curves. Zbl 1473.14112 Shen, Li-Yong; Pérez-Díaz, Sonia 1 2019 ISSAC 2019 software presentations communicated by Yue Ren: a package to compute implicit equations for rational curves and surfaces. Zbl 07659267 Yao, Shanshan; Feng, Yifei; Jia, Xiaohong; Shen, Li-Yong 1 2019 Strong \(\mu\)-bases for rational tensor product surfaces and extraneous factors associated to bad base points and anomalies at infinity. Zbl 1371.68300 Shen, Li-Yong; Goldman, Ron 8 2017 Algorithms for computing strong \(\mu\)-bases for rational tensor product surfaces. Zbl 1366.65033 Shen, Li-Yong; Goldman, Ron 4 2017 Computing \(\mu\)-bases from algebraic ruled surfaces. Zbl 1418.65027 Shen, Li-Yong 7 2016 Computing the intersections of three conics according to their Jacobian curve. Zbl 1323.51009 Feng, Ruyong; Shen, Li-Yong 1 2016 Determination and (re)parametrization of rational developable surfaces. Zbl 1355.65029 Shen, Liyong; Pérez-Díaz, Sonia 4 2015 Numerical proper reparametrization of parametric plane curves. Zbl 1302.65049 Shen, Li-Yong; Pérez-Díaz, Sonia 3 2015 Characterization of rational ruled surfaces. Zbl 1294.65023 Shen, Li-Yong; Pérez-Díaz, Sonia 13 2014 Parametrization of translational surfaces. Zbl 1345.65010 Pérez-Díaz, Sonia; Shen, Li-Yong 2 2014 Generating exact nonlinear ranking functions by symbolic-numeric hybrid method. Zbl 1282.90123 Shen, Liyong; Wu, Min; Yang, Zhengfeng; Zeng, Zhenbing 3 2013 Certified approximation of parametric space curves with cubic \(B\)-spline curves. Zbl 1251.65014 Shen, Li-Yong; Yuan, Chun-Ming; Gao, Xiao-Shan 8 2012 Homeomorphic approximation of the intersection curve of two rational surfaces. Zbl 1256.65022 Shen, Li-Yong; Cheng, Jin-San; Jia, Xiaohong 7 2012 Collision and intersection detection of two ruled surfaces using bracket method. Zbl 1210.65054 Chen, Ying; Shen, Li-Yong; Yuan, Chun-Ming 10 2011 Proper reparametrization for inherently improper unirational varieties. Zbl 1300.14060 Shen, Liyong; Chionh, Engwee; Gao, Xiao-Shan; Li, Jia 3 2011 Implicitization using univariate resultants. Zbl 1213.14093 Shen, Liyong; Yuan, Chunming 11 2010 Finding positively invariant sets of a class of nonlinear loops via curve fitting. Zbl 1356.68147 Shen, Liyong; Wu, Min; Yang, Zhengfeng; Zeng, Zhenbing 1 2009 Implicitization and parametrization of quadratic and cubic surfaces by \(\mu\)-bases. Zbl 1116.65023 Chen, F.; Shen, L.; Deng, J. 12 2007 Inherently improper surface parametric supports. Zbl 1108.65010 Chionh, Eng-Wee; Gao, Xiao-Shan; Shen, Li-Yong 4 2006 Computing \(\mu\)-bases of rational curves and surfaces using polynomial matrix factorization. Zbl 1360.14141 Deng, Jiansong; Chen, Falai; Shen, Liyong 18 2005 all cited Publications top 5 cited Publications all top 5 Cited by 76 Authors 21 Shen, Liyong 15 Pérez-Díaz, Sonia 8 Chen, Falai 7 Goldman, Ronald N. 5 Alcazar, Juan Gerardo 5 Jia, Xiaohong 5 Sendra, Juan Rafael 5 Wang, Haohao 5 Yuan, Chunming 4 Gao, Xiaoshan 4 Lai, Yisheng 3 Hermoso Ortiz, Carlos 3 Shi, Xiaoran 2 Blasco, Ángel 2 Cheng, Jinsan 2 Feng, Ruyong 2 Hoffman, Jerome William 2 Lin, Wang 2 Rueda, Sonia L. 2 Sendra, Juana 2 Villarino, Carlos 2 Wang, Xuhui 2 Yang, Zhengfeng 1 Abdallah, Nancy 1 Amirfakhrian, Majid 1 Benedicto, Rafael Magdalena 1 Busé, Laurent 1 Cao, Sheng 1 Chionh, Engwee 1 Cortadellas Benítez, Teresa 1 D’Andrea, Carlos 1 de Sevilla, Marian Fernández 1 Deng, Jiansong 1 Ding, Zuohua 1 Emsalem, Jacques 1 Feng, Yifei 1 Gallet, Matteo 1 Gao, Yu 1 Guo, Ruifeng 1 Huang, Bingru 1 Iarrobino, Anthony A. 1 Jin, Kai 1 Lazard, Daniel 1 Li, Jia 1 Li, Wei 1 Li, Xie 1 Li, Yi 1 Li, Yong 1 Liu, Jiang 1 Lubbes, Niels 1 Lưu Bá Thắng 1 Ma, Hongyu 1 Mafikandi, Hassan 1 Montoro, M. Eulalia 1 Muntingh, Georg 1 Qin, Xiaolin 1 Quintero, Emily 1 Recio, Tomas 1 Schicho, Josef 1 Sederberg, Thomas W. 1 Sevilla, David 1 Sun, Xuechao 1 Tabera, Luis Felipe 1 Turrini, Andrea 1 Vršek, Jan 1 Wang, Hongliang 1 Wu, Min 1 Xu, Ming 1 Yang, Lu 1 Yao, Shanshan 1 Zeng, Zhenbing 1 Zhan, Naijun 1 Zhang, Lige 1 Zhang, Lijun 1 Zhao, Hengjun 1 Zhao, Shangwei all top 5 Cited in 17 Serials 17 Computer Aided Geometric Design 11 Journal of Symbolic Computation 10 Journal of Systems Science and Complexity 9 Journal of Computational and Applied Mathematics 2 Theoretical Computer Science 2 Mathematics in Computer Science 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Computing 1 Advances in Applied Mathematics 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of the Egyptian Mathematical Society 1 Journal of Commutative Algebra 1 Frontiers of Computer Science 1 Communications in Mathematics and Statistics 1 European Journal of Mathematics 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 16 Fields 40 Numerical analysis (65-XX) 30 Algebraic geometry (14-XX) 23 Computer science (68-XX) 13 Commutative algebra (13-XX) 3 Approximations and expansions (41-XX) 3 Differential geometry (53-XX) 2 Geometry (51-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year