Nonlinear Theory and Its Applications, IEICE
Online ISSN : 2185-4106
ISSN-L : 2185-4106
Special section on Recent Progress in Verified Numerical Computations
A rigorous numerical algorithm for computing the linking number of links
Zin Arai
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2013 Volume 4 Issue 1 Pages 104-110

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Abstract

We propose a rigorous numerical algorithm for computing the linking number of links defined by spatially distributed data points. The key idea is to use an analytic expression for the solid angle of a tetrahedron for quick evaluation of the degree of the Gauss map. An implementation of the algorithm with INTLAB, a Matlab toolbox for reliable computing, is also provided.

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© 2013 The Institute of Electronics, Information and Communication Engineers
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