[HTML][HTML] An approximation method for convolution curves of regular curves and ellipses

YJ Ahn - AIMS Mathematics, 2024 - aimspress.com
In this paper, we present a method of $ G^ 2$ Hermite interpolation of convolution curves of
regular plane curves and ellipses. We show that our approximant is also a $ C^ 1$ Hermite …

Offset approximation of polygons on an ellipsoid

YJ Ahn, CM Hoffmann - Acta Geodaetica et Geophysica, 2021 - Springer
We present an approximation method for offset curves of polygons on an oblate ellipsoid
using implicit algebraic surfaces. The polygon on the ellipsoid is given by a set of vertices, ie …

An approximation of geodesic circle passing through three points on an ellipsoid

YJ Ahn, C Hoffmann - Journal of Applied Geodesy, 2019 - degruyter.com
In this paper we present an approximation method for a geodesic circle passing through
three points on an oblate ellipsoid. Our method uses a prolate ellipsoid passing through the …