A Group Theoretical Formalization of Contact Motion - Robotics Institute Carnegie Mellon University

A Group Theoretical Formalization of Contact Motion

Yanxi Liu
Workshop Paper, 2nd International Workshop on Algebraic Frames for the Perception Action Cycle (AFPAC '00), pp. 229 - 240, September, 2000

Abstract

The work reported in this paper applies group theory to characterize local surface contact among solids, and makes such a formalization computationally tractable. This paper serves three purposes: (1) to report a new treatment of contacting surfaces as oriented sets and to verify the consistency of their corresponding symmetry groups in a group theoretical formalization framework; (2) to give a concise summary of this group theoretical approach, from theory, to algorithms, to applications; (3) to pinpoint some unsolved problems and possible future directions.

BibTeX

@workshop{Liu-2000-16770,
author = {Yanxi Liu},
title = {A Group Theoretical Formalization of Contact Motion},
booktitle = {Proceedings of 2nd International Workshop on Algebraic Frames for the Perception Action Cycle (AFPAC '00)},
year = {2000},
month = {September},
editor = {Sommer and Zeevi},
pages = {229 - 240},
publisher = {Springer-Verlag Belin},
address = {Heidelberg},
}