1 citations · 1 across the 7 of their papers we have counts for
7 papers
Kempe factorizations for rational curves on
Yifan Li, Zijia Li, Ke Ye
We study constructive Kempe factorizations for rational curves on . Motivated by motion-polynomial factorization and rational matrix curves on real…
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…
Quadratic Spinor Polynomials with Infinitely Many Factorizations
Zijia Li, Hans-Peter Schröcker, Johannes Siegele +1
Spinor polynomials are polynomials with coefficients in the even sub-algebra of conformal geometric algebra whose norm polynomial is real. They describe rational conformal motions.…
A Geometric Algorithm for the Factorization of Spinor Polynomials
Zijia Li, Hans-Peter Schröcker, Johannes Siegele
We present a new algorithm to decompose generic spinor polynomials into linear factors. Spinor polynomials are certain polynomials with coefficients in the geometric algebra of dim…