A geometric algorithm for the factorization of rational motions in conformal three space

DOI10.1016/j.jsc.2024.102388MaRDI QIDQ6650573

Johannes Siegele, Hans-Peter Schröcker, Zijia Li

Publication date: 9 December 2024

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

conformal motionnull quadricstudy varietynull displacementelementary motionfour quaternion representation

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Reflection groups, reflection geometries (51F15) Möbius geometries (51B10) Applications of Clifford algebras to physics, etc. (15A67)

Cites Work

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• The construction of 3D conformal motions
• Factorization theory: from commutative to noncommutative settings.
• Preliminary sketch of biquaternons.
• Factorization results for left polynomials in some associative real algebras: state of the art, applications, and open questions
• Kempe's universality theorem for rational space curves
• Factorization of motion polynomials
• An algorithm for the factorization of split quaternion polynomials
• A multiplication technique for the factorization of bivariate quaternionic polynomials
• The study variety of conformal kinematics
• A new theory of regular functions of a quaternionic variable
• Planar linkages following a prescribed motion
• Factorizations of Elements in Noncommutative Rings: A Survey
• Synthesis of spherical four-bar mechanisms using spherical kinematic mapping
• Geometric Fundamentals of Robotics
• Zeros of slice functions and polynomials over dual quaternions
• Regular Functions of a Quaternionic Variable
• On the Zeros of Polynomials over Division Rings
• Equations in Quaternions
• Graded symmetry groups: plane and simple
• Physical geometry by plane-based geometric algebra

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