The logarithmic curvature graphs of generalized cornu spirals. | [Punjab University Journal of Mathematics • 2012]

Author(s):

1. R. U. Gobithaasan: Department of Mathematics, Faculty of Science and Technology, University Malaysia Terengganu, 21030 Kuala Terengganu, Malaysia

2. J. M. Ali: School of Mathematical Sciences, University Sains Malaysia, 11800 Minden, Penang, Malaysia

3. Kenjiro T. Miura: Graduate School of Science and Technology, Shizuoka University, Hamamatsu Shizuoka 432, Japan

Abstract:

The Generalized Cornu Spiral (GCS) was first proposed by Ali et al. in 1995 [1,9]. Due to the monotonocity of its curvature function, the surface generated with GCS segments has been considered as a high quality surface and it has potential applications in surface design [12]. In this paper, the analysis of GCS segment is carried out by determining its aesthetic value using the log curvature Graph (LCG) as proposed by Kanaya eta al. [10]. The analysis of LCG supports the claim that GCS is indeed a generalized form of aesthetic curves.

Page(s): 1-8

DOI: DOI not available

Published: Journal: Punjab University Journal of Mathematics, Volume: 44, Issue: 0, Year: 2012

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