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Applying inversion to construct rational spiral curves

Authors
  • Kurnosenko, A.
Type
Published Article
Publication Date
Feb 27, 2009
Submission Date
Feb 27, 2009
Identifiers
arXiv ID: 0902.4834
Source
arXiv
License
Yellow
External links

Abstract

A method is proposed to construct spiral curves by inversion of a spiral arc of parabola. The resulting curve is rational of 4-th order. Proper selection of the parabolic arc and parameters of inversion allows to match a wide range of boundary conditions, namely, tangents and curvatures at the endpoints, including those, assuming inflection.

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