Computer-Aided Design and Applications (ISSN 1686-4360) is an independent, international peer-reviewed technical journal dedicated to the applications of computer-aided design and manufacturing.
Volume 10 Number 6 Pages 1021-1032
Designing Log-aesthetic Splines with G2 Continuity
Abstract. This paper elucidates the possibilities to interactively generate and deform Log-aesthetic (LA) curves regardless of their integral form. The methods proposed are twofold; in the first section, we propose new method to generate an S-shaped LA spline. In the next section, we propose a novel method to solve the G2 Hermite interpolation problem with LA curves which is in the form of LA triplets. These methods have been implemented as a plug-in module for a commercial CAD system and are successfully used for practical design. This paper proofs that LA curve has matured and ready for industrial design.
Keywords: log-aesthetic spline curve, G2 Hermite interpolation, triple log-aesthetic curve segments, S-shaped curve.
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