The Robotics Institute

Carnegie Mellon Robotics Institute

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Abstract

This paper gives a sampler on an emerging area of research and applications, namely, computational symmetry. The introduction of computers poses challenging tasks for machine representation and reasoning about symmetry and group theory. We demonstrate, through three concrete applications, the power, the difficulties and feasibility of using symmetry and group theory on computers. A computational framework is proposed to study symmetry in a multi-dimensional, continuous space.

Notes

Text Reference

Yanxi Liu, "Computational Symmetry," tech. report CMU-RI-TR-00-31, Robotics Institute, Carnegie Mellon University, December, 2000

BibTeX Reference

@techreport{Liu_2000_3423,
   author = "Yanxi Liu",
   title = "Computational Symmetry",
   booktitle = "",
   institution = "Robotics Institute",
   month = "December",
   year = "2000",
   number= "CMU-RI-TR-00-31",
   address= "Pittsburgh, PA",
}

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