A generalized log aesthetic space curve

Authors:
R. U. Gobithaasan;L. P. Yee;Kenjiro T. Miura
Affiliations:
University Malaysia, Terengganu, Kuala Terengganu, Malaysia;University Malaysia, Terengganu, Kuala Terengganu, Malaysia;Shizuoka University, Johoku, Naka-Ku, Hammamatsu, Shizuoka, Japan
Venue:
Proceedings of the 2012 Joint International Conference on Human-Centered Computer Environments
Year:
2012

Citing 5
Cited 1

An Aesthetic Curve in the Field of Industrial Design

VL '99 Proceedings of the IEEE Symposium on Visual Languages
Interactive aesthetic curve segments

The Visual Computer: International Journal of Computer Graphics
Log-aesthetic space curve segments

2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Analytic parametric equations of log-aesthetic curves in terms of incomplete gamma functions

Computer Aided Geometric Design
Logarithmic curvature and torsion graphs

MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces

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

A space curve called the Generalized Log Aesthetic Space Curve (GLASC) has been introduced in this paper. The flexibility of GLASC can be utilised to satisfy extra constraints during the design process. The GLASC is an extension of the Generalized Log Aesthetic Curve (GLAC) and Log Aesthetic Curve (LAC). There are two approaches to formulate GLASC; μ-shift and τ-shift. Final result concurs that GLASC has two extra degree of freedoms (DoF) compared to LAC Space Curve (LASC).