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Journal of Applied Mathematics
Volume 2013 (2013), Article ID 732457, 7 pages
http://dx.doi.org/10.1155/2013/732457
Research Article

Drawable Region of the Generalized Log Aesthetic Curves

1Department of Mathematics, FST, Universiti Malaysia Terengganu, 21030 Kuala Terengganu, Malaysia
2Graduate School of Science & Technology, Shizuoka University, Shizuoka 432-8561, Japan

Received 3 June 2013; Accepted 16 September 2013

Academic Editor: Kazutake Komori

Copyright © 2013 R. U. Gobithaasan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The main characteristic of visually pleasing curves used for product design is a monotonic curvature profile. Recently, a planar curve called Generalized Log Aesthetic Curve (GLAC) has been extended from the Log Aesthetic Curve (LAC), and it has an additional shape parameter, ν. This curve preserves the monotonicity of curvature and is said to produce visually pleasing curves. This paper delves on the drawable region of the GLAC segment which indicates the probable solutions of shape parameters from given interpolating points and the direction of travel at those points. The first section reviews the formulation of GLAC and its related bounds. The section describes the algorithm for identifying the drawable region. It is followed by the section describing how small changes of ν widen the drawable boundaries. The final section discusses the superiority of GLAC compared to LAC for use in industrial product design.