A screw motion approach to uniqueness analysis of head-eye geometry
- 10 December 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- No. 10636919,p. 145-151
- https://doi.org/10.1109/cvpr.1991.139677
Abstract
The screw motion theory is used to solve a class of pose determination problems that can be characterized by a homogeneous transform equation of the form AX=XB, where A and B are known motions and X is an unknown coordinate transformation. Unlike existing methods, this method gives rise to a sound geometric interpretation that takes both rotation and translation into consideration. The author derives a screw congruence theorem and shows that the problem is to find a rigid transformation which will bring one group of lines to overlap another. He also provides a complete analysis of the conditions under which the solution can be uniquely determined.Keywords
This publication has 11 references indexed in Scilit:
- Motion And Depth From Binocular Orthographic ViewsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- Real time versatile robotics hand/eye calibration using 3D machine visionPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- An automated flip-chip assembly technology for advanced VLSI packagingPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Pose determination from line-to-plane correspondences: existence condition and closed-form solutionsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1991
- Determination of camera location from 2-D to 3-D line and point correspondencesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1990
- An analytic solution for the perspective 4-point problemComputer Vision, Graphics, and Image Processing, 1989
- Calibration of wrist-mounted robotic sensors by solving homogeneous transform equations of the form AX=XBIEEE Transactions on Robotics and Automation, 1989
- A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lensesIEEE Journal on Robotics and Automation, 1987
- Random sample consensusCommunications of the ACM, 1981
- A treatise on the theory of screws, by Sir Robert Stawell Ball.Published by Smithsonian Institution ,1900