The Logarithmic Curvature Graphs of Generalized Cornu Spirals

Authors

  • R. U. Gobithaasan Department of Mathematics Faculty of Science & Technology University Malaysia Terengganu 21030 Kuala Terengganu, Malaysia.
  • J.M. Ali School of Mathematical Sciences University Sains Malaysia 11800 Minden, Penang, Malaysia.
  • Kenjiro T. Miura Graduate School of Science and Technology Shizuoka University Hamamatsu Shizuoka 432, Japan.

Keywords:

Generalized Cornu Spiral, Log Aesthetic Curves, Logarthmic Curvature Graphs, Fair Curves

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 et al.[10]. The analysis of LCG supports the claim that GCS is indeed a generalized form of aesthetic curves.

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Published

2012-12-31

Issue

Vol. 44 (2012)

Section

Articles

How to Cite

The Logarithmic Curvature Graphs of Generalized Cornu Spirals. (2012). Punjab University Journal of Mathematics, 44(1), 1-8. https://pujm.pu.edu.pk/index.php/pujm/article/view/1