Using Characteristic Invariants to Infer New Spatial Relationships from Old

R. J. Popplestone, R. Weiss, and Yanxi Liu
Proceedings of IEEE International Conference on Robotics and Automation, April, 1988, pp. 1107 -- 1112.


Download
  • Adobe portable document format (pdf) (450KB)
Copyright notice: This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. These works may not be reposted without the explicit permission of the copyright holder.

Abstract
The paper is concerned with the use of symmetry groups as descriptors for surfaces-such symmetry groups can be used to characterise the constraints imposed between two bodies by areal contact between their surfaces. A method is presented for combining constraints imposed by spatial relationships between features (infinite geometric entities) of bodies. It consists of an algorithm for computing the intersections of infinite symmetry groups from their characteristic invariants. It is demonstrated that invariants of symmetry groups for these combined features can be computed in an efficient and practical way

Notes
Number of pages: 6

Text Reference
R. J. Popplestone, R. Weiss, and Yanxi Liu, "Using Characteristic Invariants to Infer New Spatial Relationships from Old," Proceedings of IEEE International Conference on Robotics and Automation, April, 1988, pp. 1107 -- 1112.

BibTeX Reference
@inproceedings{Liu_1988_587,
   author = "R. J. Popplestone and R. Weiss and Yanxi Liu",
   title = "Using Characteristic Invariants to Infer New Spatial Relationships from Old",
   booktitle = "Proceedings of IEEE International Conference on Robotics and Automation",
   pages = "1107 -- 1112",
   month = "April",
   year = "1988",
   volume = "2",
}