4 papers
Geometric Stratification for Singular Configurations of the P3P Problem via Local Dual Space
Xueying Sun, Zijia Li, Nan Li
This paper investigates singular configurations of the P3P problem. Using local dual space, a systematic algebraic-computational framework is proposed to give a complete geometric…
Quadratic Motion Polynomials With Irregular Factorizations
Daren A. Thimm, Zijia Li, Hans-Peter Schröcker +1
Motion polynomials are a specific type of polynomial over a Clifford algebra that can conveniently describe rational motions. There exists an algorithm for the factorization of mot…
Rational Curves on Real Classical Groups
Zijia Li, Ke Ye
This paper is concerned with rational curves on real classical groups. Our contributions are three-fold: (i) We determine the structure of quadratic rational curves on real classic…
Whitney Stratification of Algebraic Boundaries of Convex Semi-algebraic Sets
Zihao Dai, Zijia Li, Zhi-Hong Yang +1
Algebraic boundaries of convex semi-algebraic sets are closely related to polynomial optimization problems. Building upon Rainer Sinn's work, we refine the stratification of iterat…