Four-Pose Synthesis of Angle-Symmetric 6R Linkages
This addresses a specific problem in robotics and mechanical engineering for designing linkages, but it appears incremental as it builds on recent factorization theory.
The paper tackled the synthesis of closed kinematic loops with six revolute joints that visit four prescribed poses, using factorization theory of motion polynomials over dual quaternions, resulting in either no solution or a one-parametric family of solutions.
We use the recently introduced factorization theory of motion polynomials over the dual quaternions for the synthesis of closed kinematic loops with six revolute joints that visit four prescribed poses. Our approach admits either no or a one-parametric family of solutions. We suggest strategies for picking good solutions from this family.