Equiform kinematics and the geometry of line elements

Abstract:

The present paper studies Plücker coordinates for line elements in Euclidean three-space. The well known relation between line geometry and kinematics is generalized to equiform motions and the geometry of line elements. We consider bundles and linear complexes of line elements and survey their properties.

Bibtex:

@INPROCEEDINGS{opw_kinematics_06, AUTHOR = "B. Odehnal and H. Pottmann and J. Wallner", TITLE = "Equiform kinematics and the geometry of line elements", BOOKTITLE = "Algebra Geom. ", VOLUME = "47", NUMBER = "2", PAGES = "567--582", YEAR = "2006", }