电子邮件： lizijia@amss.ac.cn
通信地址： 中关村东路55号思源楼
邮政编码： 100190
研究领域
符号计算，计算代数几何，及在机构学、机器人学的应用，包括过约束机构发明与分类，机器人奇异位形分析以及Clifford代数在运动学的应用。
招生信息
招生专业
招生方向
教育背景
2018-03--2019-02 奥地利维也纳技术大学离散数学与几何研究所 博士后
2012-01--2016-01 奥地利林茨大学 获得博士学位
2008-09--2011-12 中科院数学与系统科学研究院 硕博连读
2003-09--2007-06 河北工业大学 数学与应用数学 学士学位
工作经历
2021-01~现在, 中国科学院数学与系统科学研究院系统科学研究所, 副研究员
2020-08~2020-12,中国科学院数学与系统科学研究院, 助理研究员
2016-02~2018-02,奥地利乔安娜研究机器人研究所, 高级研究学者
出版信息
已发表论文（期刊）
- (with M. Brandstötter and M. Hofbaur) Kinematic Redundancy Analysis for (2n+1)R Circular Manipulators, IEEE Transactions on Robotics, 2022, online, 1-13.
- (with T. Duarte Guerreiro and J. Schicho) Classification of higher mobility closed-loop linkages, Annali di Matematica Pura ed Applicata, 2022,online.
- (with B. Kalkan and H.-P. Schröcker and J. Siegele) The Study Variety of Conformal Kinematics, Advances in Applied Clifford Algebras, 2022, 32(4), 1-18.
(with G. Nawratil and F. Rist and M. Hensel) Invertible Paradoxic Loop Structures for Transformable Design, Computer Graphics Forum (2020), 39 (2), 261-275.
(with J. Schicho and H.-P. Schröcker) Factorization of Motion Polynomials, Journal of Symbolic Computation, 2019, 92, 190-202.
(with D.F. Scharler and H.-P. Schröcker) Factorization Results for Left Polynomials in Some Associative Real Algebras: State of the Art, Applications, and Open Questions, Journal of Computational and Applied Mathematics, 2019, 349, 508-522.
(with M. Brandstötter and M. Hofbaur) Global Optimisation Analysis for a Planar Redundant Serial Manipulator, International Journal of Mechanisms and Robotic Systems, 2018, 92, 190-202.
(with J. Schicho and H.-P. Schröcker) Kempe's Universality Theorem for Rational Space Curves, Foundations of Computational Mathematics, 2018,18, 509–536.
(with J. Schicho and H.-P. Schröcker) A Survey on the Theory of Bonds, IMA Journal of Mathematical Control and Information, 2018, 35, 279–295.
(with M. Gallet and C. Koutschan and G. Regensburger and J. Schicho and N.Villamizar) Planar Linkages Following a Prescribed Motion, Mathematics of Computation, 2017, 86, 473–506.
(with J. Schicho and H.-P. Schröcker) The Rational Motion of Minimal Dual Quaternion Degree With Prescribed Trajectory, Computer Aided Geometric Design, 2016, 41, 1–9.
(with J. Schicho and H.-P. Schröcker) Spatial Straight Line Linkages by Factorization of Motion Polynomials,
Journal of Mechanisms Robotics, 2016, 8, 021002.
(with J. Schicho) A Technique for Deriving Equational Conditions on the Denavit–Hartenberg Parameters of 6R Linkages That Are Necessary for Movability, Mechanism and Machine Theory, 2015, 94, 1–8.
(with H. Ahmadinezhad and J. Schicho) An Algebraic Study of Linkages with Helical Joints, Journal of Pure and Applied Algebra, 2015, 219, 2245–2259.
(with G. Hegedüs and J. Schicho and H.-P. Schröcker) The Theory of Bonds II: Closed 6R Linkages with Maximal Genus, Journal of Symbolic Computation, 2015, 68, 167–180.
(with J. Schicho) Classification of Angle-symmetric 6R Linkages, Mechanism and Machine Theory, 2013, 70, 372–379.
(with C. Thorpe and F. Li and Z. Yu and D. Saunders and J. Yu) A Coprime Blur Scheme for Data Security in Video Surveillance, IEEE Transactions on Pattern Analysis and Machine Intelligence, 2013, 35, 3066–3072.
(with L. Zhi) Computing the Nearest Singular Univariate Polynomials with Given Root Multiplicities, Theoretical Computer Science, 2012, 479, 150-162.
已发表论文（会议）
- A New Family of Overconstrained P5R-Mechanisms, International Symposium on Advances in Robot Kinematics. 2022, 434-441.
- (with A. Müller) 6R Linkages with Hidden Singularities, International Symposium on Advances in Robot Kinematics. 2022, 81-89.
- (with A. Müller) Mechanism Singularities Revisited from an Algebraic Viewpoint, ASME 2019 IDETC/CIE. arxiv.org/1905.11789
(with M. Brandstötter and M. Hofbaur) Analysis of Kinematic Singularities for a Serial Redundant Manipulator with 7 DOF, International Symposium on Advances in Robot Kinematics, 2018, 179-186
(with M. Brandstötter and M. Hofbaur) Kinematic Analysis for a Planar Redundant Serial Manipulator, Multibody Mechatronic Systems, MuSMe 2017, Mechanisms and Machine Science, 54, 97-106. Springer, Cham (3rd place of Best paper award)
(with J.M. Selig) Double Bennett Mechanisms with Assembly Modes of Different Dimensions, International Conference on Reconfigurable Mechanisms and Robots (ReMAR), 2018, 18060447
(with J. Schicho and H.-P. Schröcker) 7R Darboux Linkages by Factorization of Motion Polynomials,
In Proc. IFToMM 14, 2015, 841-847.
(with J. Schicho and H.-P. Schröcker) Factorization of Rational Motions: A Survey with Examples and Applications, In Proc. IFToMM 14, 2015, 833-840.
Sharp Linkages, in Advances in Robot Kinematics 2014, 131-138.
(with J. Schicho) Three Types of Parallel 6R Linkages, In Computational Kinematics, 2013, 111-119.
(with F. Li and D. Saunders and J. Yu) A Theory of Coprime Blurred Pairs, Proceedings of the ICCV 2011: 217-224.
(with Z. Yang and L. Zhi) Blind Image Deconvolution via Fast Approximate GCD, Proceedings of the ISSAC 2010: Pages 155–162.
预印本
- (with H.P. Schröcker, D.F. Scharler) A Complete Characterization of Bounded Motion Polynomials Admitting a Factorization with Linear Factors, 2022 (arXiv)
科研活动
科研项目
参与会议
（2）Bond Diagrams of 6R Linkages 中国数学会2021年学术年会 2021-10-22
（3）Invertible Paradoxic Loop Structures for Transformable Design Eurographics & Eurovis 2020 2020-05-25
（4）Kinematics Analysis of Serial Manipulators via Computational Algebraic Geometry SIAM Conference on Applied Algebraic Geometry, Bern, Switzerland 2019-07-09
（5）Bond Diagrams of 6R Linkages with the Minimum Number of Bonds Conference on Geometry: Theory and Applications, University of Innsbruck, Austria 2019-06-03
（6）Collision-free Realizations of Closed Linkages Rigidity and Flexibility of Geometric Structures Workshop at The Erwin Schrödinger International Institute for Mathematics and Physics (ESI), Vienna, Austria 2018-09-24
（7）Analysis of Kinematic Singularities for a Serial Redundant Manipulator with 7 DOF International Symposium on Advances in Robot Kinematics 2018-07-01
（8）Kinematic Analysis for a Planar Redundant Serial Manipulator International Symposiu on Multibody Systems and Mechatronics, Florianopolis, Brazil. 2017-10-25
（9）7R Darboux Linkages by Factorization of Motion Polynomials 2015 - IFToMM, Taipei, Taiwan, China 2015-10-25
（10）A Collision Free Design for Planar Linkages Following A Prescribed Motion CGTA 2015 Kefermarkt, Upper Austria 2015-06-08
（11）Sharp Linkages ARK 2014 : Advances in Robot Kinematics, Ljubljana, Slovenia 2014-06-29
（12）Three Types of Parallel 6R Linkages CK2013, Barcelona, Spain. 2013-05-12
（13）Blind Image Deconvolution via Fast Approximate GCD ISSAC 2010, Munich, Germany. 2010-07-25
合作情况
中国
支丽红2，中科院数学与系统科学研究院
杨争峰，华东师范大学
欧洲
Josef Schicho14, Johannes Kepler University Linz
Hans-Peter Schroecker9, University of Innsbruck
Mathias Brandstötter3, Joanneum Research - Robotics
Michael Hofbaur3, Joanneum Research - Robotics
Georg Nawratil, Vienna University of Technology
Andreas Müller, Johannes Kepler University Linz
Hamid Ahmadinezhad, Loughborough University
Jonathan Selig, London South Bank University