Abstract
In this paper we derive a sequence of linear normal (LN) curves b 2 n of degree 2 n which are G n endpoint interpolations of a circular arc and have approximation order 2 n + 2 . This is an extension of the circle approximation method by LN Bézier curves given in Ahn and Hoffmann (2014) to all even degrees. We also extend the circle approximation to an ellipse approximation by G n LN curves of degree 2 n . An upper bound of the Hausdorff distance between the ellipse and its LN approximation is obtained. We illustrate our results through an LN approximation of convolution curves of ellipses and a spline curve.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
