Τ-curve: introduction of cusps to aesthetic curves. Issue 2 (2nd April 2020)

• Record Type: Journal Article
• Authors: Miura, Kenjiro T; Suzuki, Sho; Usuki, Shin; Gobithaasan, R U
• Is Part Of: Journal of computational design and engineering. Volume 7:Issue 2(2020)
• Page Start: 155
• Page End: 164
• Publication Date: 2020-04-02
• Subjects: log-aesthetic curve -- σ-curve -- τ-curve; Engineering -- Data processing -- Periodicals; Computer-aided design -- Periodicals; Computer-aided design; Engineering -- Data processing; Electronic journals; Electronic journals; Periodicals; 620.0042
• DOI: 10.1093/jcde/qwaa014
• Languages: English
• ISSNs: 2288-4300

Abstract

Abstract: Yan, Schiller, Wilensky, Carr, and Schaefer pointed out that one of the demerits of clothoid interpolation is a jumping behavior during the deformation of the curve. This phenomenon occurs because the clothoid curve cannot have a cusp, where the curve is kinked or the direction of the curve is abruptly changed. We discuss how to introduce cusps for the log-aesthetic curve including the clothoid curve and propose to use for the representation of a curve the direction angle instead of curvature and define a new curve named τ-curve, which is defined by the direction angle of the curve. Graphical Abstract: