Bertrand curves in Galilean space and their characterizations
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Alper Osman Öğrenmiş, Handan Öztekin, Mahmut Ergüt (2009)
Kragujevac Journal of Mathematics
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We present an algorithm to generate a smooth curve interpolating a set of data on an -dimensional ellipsoid, which is given in closed form. This is inspired by an algorithm based on a rolling and wrapping technique, described in [11] for data on a general manifold embedded in Euclidean space. Since the ellipsoid can be embedded in an Euclidean space, this algorithm can be implemented, at least theoretically. However, one of the basic steps of that algorithm consists in rolling the ellipsoid,...
Riesinger, Rolf (2005)
Beiträge zur Algebra und Geometrie
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