Dual orthogonal matrices in manipulator kinematics
International Journal of Robotics Research
Introduction to theoretical kinematics
Introduction to theoretical kinematics
Finding the position and orientation of a sensor on a robot manipulator using quaternions
International Journal of Robotics Research
International Journal of Robotics Research
The geometry and algebra of kinematics
Geometric computing with Clifford algebras
A Mathematical Introduction to Robotic Manipulation
A Mathematical Introduction to Robotic Manipulation
Tracking People with Twists and Exponential Maps
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
The Dual Quaternion Approach to Hand-Eye Calibration
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
A New Methodology for Computing Invariants in Computer Vision
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
A comparative study of three methods for robot kinematics
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
The Motor Extended Kalman Filter: A Geometric Approach for Rigid Motion Estimation
Journal of Mathematical Imaging and Vision
Pose Estimation of 3D Free-Form Contours
International Journal of Computer Vision
Pose Estimation in Conformal Geometric Algebra Part I: The Stratification of Mathematical Spaces
Journal of Mathematical Imaging and Vision
Conformal Geometric Algebra for Robotic Vision
Journal of Mathematical Imaging and Vision
Machine Learning and Geometric Technique for SLAM
CIARP '09 Proceedings of the 14th Iberoamerican Conference on Pattern Recognition: Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
Conformal geometric algebra for endoscope-traking system calibration in neurosurgery
CIARP'07 Proceedings of the Congress on pattern recognition 12th Iberoamerican conference on Progress in pattern recognition, image analysis and applications
Applications of geometric algebra in robot vision
IWMM'04/GIAE'04 Proceedings of the 6th international conference on Computer Algebra and Geometric Algebra with Applications
An overview of robot-sensor calibration methods for evaluation of perception systems
Proceedings of the Workshop on Performance Metrics for Intelligent Systems
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In this paper we apply the Clifford geometric algebra for solving problems of visually guided robotics. In particular, using the algebra of motors we model the 3D rigid motion transformation of points, lines and planes useful for computer vision and robotics. The effectiveness of the Clifford algebra representation is illustrated by the example of the hand-eye calibration. It is shown that the problem of the hand-eye calibration is equivalent to the estimation of motion of lines. The authors developed a new linear algorithm which estimates simultaneously translation and rotation as components of rigid motion.