New Algorithms For Automated Symmetry Recognition

Jody Paul; Tammy Elaine Kilgore; Allen Klinger

doi:10.1117/12.942723

19 February 1988 New Algorithms For Automated Symmetry Recognition

Jody Paul, Tammy Elaine Kilgore, Allen Klinger

Proceedings Volume 0848, Intelligent Robots and Computer Vision VI; (1988) https://doi.org/10.1117/12.942723
Event: Advances in Intelligent Robotics Systems, 1987, Cambridge, CA, United States

Abstract

In this paper we present new methods for computer-based symmetry identification that combine elements of group theory and pattern recognition. Detection of symmetry has diverse applications including: the reduction of image data to a manageable subset with minimal information loss, the interpretation of sensor data,1 such as the x-ray diffraction patterns which sparked the recent discovery of a new "quasicrystal" phase of solid matter,2 and music analysis and composition.3,4,5 Our algorithms are expressed as parallel operations on the data using the matrix representation and manipulation features of the APL programming language. We demonstrate the operation of programs that characterize symmetric and nearly-symmetric patterns by determining the degree of invariance with respect to candidate symmetry transformations. The results are completely general; they may be applied to pattern data of arbitrary dimension and from any source.

Citation Download Citation

Jody Paul, Tammy Elaine Kilgore, and Allen Klinger "New Algorithms For Automated Symmetry Recognition", Proc. SPIE 0848, Intelligent Robots and Computer Vision VI, (19 February 1988); https://doi.org/10.1117/12.942723

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