Email: lizijia@amss.ac.cn
Mailing address: Siyuan Building, No. 55, Zhongguancun East Road, 100190 Beijing, China
Research Areas
Symbolic Computation；Computational Kinematics；Kinematics-Robotics Singularities；Linkages
Education
Johannes Kepler University Linz, Austria, 01.2012-01.2016
Thesis: “Closed Linkages with Six Revolute Joints”
Advisor: A.Prof. Josef Schicho and Prof. Hans-Peter Schroecker
PhD fellow (01.2012-03.2015) in the Doctoral Program “Computational Mathematics”, by the Austrian Science Fund (FWF): W1214-N15, project DK9.
PhD fellow (03.2015-01.2016) in “Algebraic Methods in Kinematics”, by the Austrian Science Fund (FWF): P26607.
Experience
2021-01~Present, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Associate Researcher
2020-08~2020-12, Research Assistant, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
2016-02~2018-02, Joanna Institute for Research Robotics, Austria, Senior Research Scholar
Publications
Journal Papers
- (with N. Li and Z. Yang and L. Zhi) The integral closure of a primary ideal is not always primary, Journal of Symbolic Computation, 2024, online, doi.org/10.1016/j.jsc.2024.102315.
- (with A. Müller) Identification of Real and Complex Solution Varieties and their Singularities defined by Loop Constraints of Linkages using the Kinematic Tangent Cone, Journal of Mechanisms Robotics, 2024, online, doi.org/10.1115/1.4064575.
- (with A. Müller) Mechanism singularities and shakiness from an algebraic viewpoint, Mechanism and Machine Theory, 2024, 191, 105510.
- (with M. Brandstötter and M. Hofbaur) Kinematic Redundancy Analysis for (2n+1)R Circular Manipulators, IEEE Transactions on Robotics, 2023, 755 - 767.
- (with T. Duarte Guerreiro and J. Schicho) Classification of higher mobility closed-loop linkages, Annali di Matematica Pura ed Applicata, 2023, 202, 737–762.
- (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.
Conferences Proceedings
- (with A. Müller) Singularity Analysis of 1-DOF Linkages with Helical Joints, In Proc. IFToMM WC 2023: Advances in Mechanism and Machine Science, 817–823.
- 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.