Variational formulation of the log-aesthetic curve

Authors:
Kenjiro T. Miura;Shin Usuki;R. U. Gobithaasan
Affiliations:
Shizuoka University, Johoku, Naka-ku, Hamamatsu, Shizuoka, Japan;Shizuoka University, Johoku, Naka-ku, Hamamatsu, Shizuoka, Japan;University Malaysia, Terengganu, Kuala Terengganu, Terengganu, Malaysia
Venue:
Proceedings of the 2012 Joint International Conference on Human-Centered Computer Environments
Year:
2012

Citing 4
Cited 1

The generalised Cornu spiral and its application to span generation

Journal of Computational and Applied Mathematics - Special issue on computational methods in computer graphics
Curves and surfaces for CAGD: a practical guide

Curves and surfaces for CAGD: a practical guide
Interactive aesthetic curve segments

The Visual Computer: International Journal of Computer Graphics
Analytic parametric equations of log-aesthetic curves in terms of incomplete gamma functions

Computer Aided Geometric Design

Family of superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function

Computer Aided Geometric Design

Quantified Score

Hi-index	0.00

Visualization

Abstract

The log-aesthetic curves include the logarithmic (equiangular) spiral, clothoid, and involute curves. Although most of them are expressed only by an integral form of the tangent vector, it is possible to interactively generate and deform them and they are expected to be utilized for practical use of industrial and graphical design. We reformulate the LA curve with variational principle in order to analyze its properties.