Title :
A new representation for a line
Author :
Roberts, Kenneth S.
Author_Institution :
AT&T Bell Labs., Holmdel, NJ, USA
Abstract :
The author presents a representation for a line in Euclidean three-space which uses only four parameters (the minimum number possible). Unlike other four-parameter representations. it has no singularities and special cases. The representation readily generalizes to Euclidean n-space, where it uses 2n-2 parameters. Possible applications include data compression, handling sets of parallel lines, representing kinematic linkages, and optimization problems
Keywords :
computational geometry; data compression; optimisation; picture processing; Euclidean three-space; computational geometry; data compression; kinematic linkages; line representation; optimization; picture processing; Computer science; Couplings; Data compression; Fasteners; H infinity control; Humans; Robot kinematics; Robot motion; Technical drawing;
Conference_Titel :
Computer Vision and Pattern Recognition, 1988. Proceedings CVPR '88., Computer Society Conference on
Conference_Location :
Ann Arbor, MI
Print_ISBN :
0-8186-0862-5
DOI :
10.1109/CVPR.1988.196303
