対数型美的曲線を用いた<i>G</i><sup>2</sup> Hermite 内挿法

Abstract

Although the log-aesthetic curves are generally expressed only by an integral form of the tangent vector, it is possible to interactively generate and deform them and they are expected to be utilized for practical use of industrial and graphical design. In this paper we propose a novel method to solve the G2 Hermite interpolation problem with the log-aesthetic plane curve as well as a new method to generate an S-shaped curve for G1 Hermite interpolation. The methods proposed in the paper have been implemented as a plug-in module for a commercial CAD system and are successfully used for practical design.