Conformal geometric algebra for robotic vision

DOI10.1007/s10851-005-3615-1zbMath1478.68394OpenAlexW2025849713MaRDI QIDQ2491348

Eduardo Bayro-Corrochano, Leo Reyes-Lozano, Julio Zamora-Esquivel

Publication date: 29 May 2006

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-005-3615-1

zbMATH Keywords

affine geometrycomputer visionprojective geometryincidence algebradirected distanceClifford (geometric) algebra3D range data3D rigid motionlaser and stereo systemspheres projective geometryvisually guided robotics

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Kinematics of mechanisms and robots (70B15) Machine vision and scene understanding (68T45) Artificial intelligence for robotics (68T40) Applications of Clifford algebras to physics, etc. (15A67)

Related Items (13)

A geometric approach for forward kinematics analysis of a 3-SPS/S redundant motion manipulator with an extra sensor using conformal geometric algebra ⋮ Geometric algebra for multidimension-unified geographical information system ⋮ A group of viewpoint changes in the conformal Clifford algebra ⋮ Training Multilayer Perceptron by Conformal Geometric Evolutionary Algorithm ⋮ High-order inverse dynamics of serial robots based on projective geometric algebra ⋮ Iterative inverse kinematics for robot manipulators using quaternion algebra and conformal geometric algebra ⋮ Singularity analysis of 3-RPR parallel manipulators using geometric algebra ⋮ Visual servoing on the sphere using conformal geometric algebra ⋮ THz-TDS signal analysis and substance identification via the conformal split ⋮ An interactive indoor 3D reconstruction method based on conformal geometry algebra ⋮ Strapdown inertial navigation system algorithms based on geometric algebra ⋮ A generalised quaternion and Clifford algebra based mathematical methodology to effect multi-stage reassembling transformations in parallel robots ⋮ A geometric algebra based higher dimensional approximation method for statics and kinematics of robotic manipulators

Cites Work

• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Projective geometry with Clifford algebra
• Motor algebra of 3D kinematics: The case of the hand-eye calibration
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