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Apollonius circle conflict

Published:01 December 2005Publication History
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Abstract

What does a query ellipse do (outside, intersects or tangent) with respect to the Apollonius circle of the three black ellipses?

References

  1. J. Canny. The Complexity of Robot Motion Planning. ACM -- MIT Press Doctoral Dissertation Award Series. MIT Press, Cambridge, MA, 1987. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. I. Z. Emiris and G. M. Tzoumas. Algebraic study of the Apollonius circle of three ellipses. In Proc. European Workshop Computat. Geometry, pages 147--150, Eindhoven, Holland, March 2005.Google ScholarGoogle Scholar
  3. I. Hanniel, R. Muthuganapathy, G. Elber, and M.-S. Kim. Precise voronoi cell extraction of free-form rational planar closed curves. In Proc. 2005 ACM Symp. Solid and phys. modeling, pages 51--59, Cambridge, Massachusetts, 2005. Google ScholarGoogle ScholarDigital LibraryDigital Library

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  1. Apollonius circle conflict

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            cover image ACM SIGSAM Bulletin
            ACM SIGSAM Bulletin  Volume 39, Issue 4
            December 2005
            41 pages
            ISSN:0163-5824
            DOI:10.1145/1140378
            Issue’s Table of Contents

            Copyright © 2005 Authors

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            Association for Computing Machinery

            New York, NY, United States

            Publication History

            • Published: 1 December 2005

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