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research article
Fourier Approximation Of Symmetric Ideal Knots
Carlen, M.
•
Gerlach, H.
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.
Type
research article
Web of Science ID
WOS:000301239100011
Authors
Carlen, M.
•
Gerlach, H.
Publication date
2012
Published in
Volume
21
Article Number
1250057
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
April 12, 2012
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