Fourier Approximation Of Symmetric Ideal Knots

Enforcing a specific symmetry group on a curve, knotted or not, is not trivial using standard interpolations such as polygons or splines. For a prescribed symmetry group we present a symmetrization process based on a Fourier description of a knot. The presence of symmetry groups implies a characteristic pattern in the Fourier coefficients. The relations between the coefficients are shown for five ideal knot shapes with their proposed symmetry groups.


Published in:
Journal Of Knot Theory And Its Ramifications, 21, -
Year:
2012
Keywords:
Laboratories:




 Record created 2012-04-12, last modified 2018-03-17


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