Regular and Chaotic Dynamics

, Volume 12, Issue 6, pp 736–745 | Cite as

Integral medial axis and the distance between closest points

Articles
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Abstract

In dimension two we prove an inequality that implies a desirable property of the integral medial axis as defined by Hesselink in [1]. In dimension three we conjecture a similar inequality.

Key words

integral medial axis continued fraction 

MSC2000 numbers

11Y65 94A08 68U05 52C05 

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References

  1. 1.
    Hesselink W.H., On Quadratic Pruning of IMA, 2005, unpublished manuscript http://www.cs.rug.nl/:_wim/pub/whh346.pdf
  2. 2.
    Edwards, J., Closest Points in Lattices, 2006 http://www.math.uu.nl/people/edwards/lattice.pdf
  3. 3.
    Continued Fraction from MathWorld http://mathworld.wolfram.com/ContinuedFraction.html
  4. 4.
    Fowler, D.H., Ratio in Early Greek Mathematics, Bulletin (New Series) of the American Mathematical Society, 1979, vol. 1, pp. 807–846.MATHMathSciNetGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  1. 1.Mathematics InstituteUniversity of UtrechtUtrechtThe Netherlands

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