Inverse kinematics computation in computer graphics and robotics using conformal geometric algebra

DOI10.1007/s00006-008-0096-5zbMath1177.65036OpenAlexW2126387190MaRDI QIDQ1038830

Julio Zamora, Dietmar Hildenbrand, Eduardo Bayro-Corrochano

Publication date: 20 November 2009

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-008-0096-5

zbMATH Keywords

algorithmscomputer graphicsClifford algebrasquaternionskinematic chaininverse kinematicsroboticsconformal geometric algebragraphical examples

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of finite symmetric groups (20C30) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Clifford algebras, spinors (15A66)

Related Items (8)

Higher-order logic formalization of conformal geometric algebra and its application in verifying a robotic manipulation algorithm ⋮ Kinematic optimal design of a 2-DoF parallel positioning mechanism employing geometric algebra ⋮ A geometric approach for forward kinematics analysis of a 3-SPS/S redundant motion manipulator with an extra sensor using conformal geometric algebra ⋮ Less is more: efficient networked VR transformation handling using geometric algebra ⋮ Efficient implementation of inverse kinematics on a 6-DOF industrial robot using conformal geometric algebra ⋮ Analytical mobility analysis of Bennett linkage using geometric algebra ⋮ Connections between matrix products for 3-vectors and geometric algebra ⋮ Forward displacement analysis of a general 6-3 Stewart platform using conformal geometric algebra

Uses Software

• KamiWaAi
• Gaigen
• GABLE

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