A Design and an Implementation of an Inverse Kinematics Computation in Robotics Using Gröbner Bases

DOI10.1007/978-3-030-52200-1_1zbMath1503.68313OpenAlexW3041623709MaRDI QIDQ5039549

Noriyuki Horigome, Akira Terui, Masahiko Mikawa

Publication date: 13 October 2022

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-52200-1_1

zbMATH Keywords

Gröbner basesroboticsinverse kinemetics

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Kinematics of mechanisms and robots (70B15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Uses Software

• Maple
• Mathematica
• MixedVol
• NTL
• PHCpack
• Risa/Asir
• SymPy
• mpmath
• SciPy
• NumPy
• OpenXM
• TiGERS

Cites Work

• Triangularizing kinematic constraint equations using Gröbner bases for real-time dynamic simulation
• An efficient method for computing comprehensive Gröbner bases
• Springer Handbook of Robotics
• Algorithm 846
• Algorithm 795
• Computing Gröbner Fans of Toric Ideals
• Using Algebraic Geometry
• Unnamed Item
• Unnamed Item

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