Automatic curve fairing system using visual languages
Geometric modeling
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
A generalized log aesthetic space curve
Proceedings of the 2012 Joint International Conference on Human-Centered Computer Environments
Parametric design method for shapes with aesthetic free-form surfaces
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Fitting G2 multispiral transition curve joining two straight lines
Computer-Aided Design
Computer Aided Geometric Design
Determining an aesthetic inscribed curve
CAe '12 Proceedings of the Eighth Annual Symposium on Computational Aesthetics in Graphics, Visualization, and Imaging
Sketch-based aesthetic product form exploration from existing images using piecewise clothoid curves
Journal of Visual Languages and Computing
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We present a quantitative analysis method of the characteristics of a curve, for finding what an aesthetic curve is. A number of designer drawn curves were analyzed by this method. As a result, we found that the designer controlled the curvature change with a self-affine property, when he produced a curve in design work. In other words, the designer sees a curve with a self-affine property as an aesthetic curve. On the basis of this fact, we developed five types of curves which have the self-affine property. Furthermore, we made 'drawing-curves' from these curves as 'visual language'. These 'drawing-curves' can be used as a 'common language' between the designer, the modeler, and the operator of CAD systems for communicating the 'design intent'.