A rigorous numerical algorithm for computing the linking number of links

Zin Arai · Nonlinear Theory and Its Applications IEICE · 2012

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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