From the 1 of 4 linked papers with an AI index.
4 papers
Trajectory Planning and Certification for 3-DOF Robot Manipulators Using Real Quantifier Elimination Based on Comprehensive Gröbner Systems
Yu Nakai, Akira Terui, Masahiko Mikawa
The paper introduces an algorithm that uses real quantifier elimination via comprehensive Gröbner systems to efficiently plan and certify trajectories for 3‑DOF robot manipulators,…
An Effective Trajectory Planning and an Optimized Path Planning for a 6-Degree-of-Freedom Robot Manipulator
Takumu Okazaki, Akira Terui, Masahiko Mikawa
An effective method for optimizing path planning for a specific model of a 6-degree-of-freedom (6-DOF) robot manipulator is presented as part of the motion planning of the manipula…
Inverse Kinematics for a 6-Degree-of-Freedom Robot Manipulator Using Comprehensive Gröbner Systems
Takumu Okazaki, Akira Terui, Masahiko Mikawa
We propose an effective method for solving the inverse kinematic problem of a specific model of 6-degree-of-freedom (6-DOF) robot manipulator using computer algebra. It is known th…
An Optimized Path Planning of Manipulator Using Spline Curves and Real Quantifier Elimination Based on Comprehensive Gröbner Systems
Yusuke Shirato, Natsumi Oka, Akira Terui +1
This paper presents an advanced method for addressing the inverse kinematics and optimal path planning challenges in robot manipulators. The inverse kinematics problem involves det…