Determining an aesthetic inscribed curve

In this work we propose both implicit and parametric curves to represent aesthetic curves inscribed within Voronoi cells in R2. A user survey was conducted to determine, which class of curves are generally accepted as the more aesthetic. We present the curves, the survey results, and the implications for future work on simulating sponge like volumes.

[1]  Toshinobu Harada,et al.  Study of Quantitative Analysis of the Characteristics of a Curve , 1997 .

[2]  James Carifio,et al.  Ten Common Misunderstandings, Misconceptions, Persistent Myths and Urban Legends about Likert Scales and Likert Response Formats and their Antidotes , 2007 .

[3]  David Salesin,et al.  Computer-generated floral ornament , 1998, SIGGRAPH.

[4]  Brian Wyvill,et al.  Extending the CSG Tree. Warping, Blending and Boolean Operations in an Implicit Surface Modeling System , 1999, Comput. Graph. Forum.

[5]  Karan Singh,et al.  Sketching piecewise clothoid curves , 2008, SBM'08.

[6]  Les A. Piegl,et al.  The NURBS Book , 1995, Monographs in Visual Communication.

[7]  Yun Zhai,et al.  Non-numerical ranking based on pairwise comparisons , 2011 .

[8]  Les A. Piegl,et al.  The NURBS book (2nd ed.) , 1997 .

[9]  Gerald E. Farin,et al.  Fairing cubic B-spline curves , 1987, Comput. Aided Geom. Des..

[10]  K. Miura.  A General Equation of Aesthetic Curves and its Self-Affinity , 2006 .

[11]  Steven Worley,et al.  A cellular texture basis function , 1996, SIGGRAPH.

[12]  Enn Saar,et al.  Statistics of the Galaxy Distribution , 2001 .

[13]  M. Lachièze‐Rey,et al.  Statistics of the galaxy distribution , 1989 .

[14]  Craig S. Kaplan,et al.  VORONOI DIAGRAMS AND ORNAMENTAL DESIGN , 2000 .

[15]  Toshinobu Harada,et al.  An aesthetic curve in the field of Industrial design , 1999, Proceedings 1999 IEEE Symposium on Visual Languages.

[16]  Yan Ke,et al.  The Design of High-Level Features for Photo Quality Assessment , 2006, 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'06).

[17]  Andreas E. Savakis,et al.  Evaluation of image appeal in consumer photography , 2000, Electronic Imaging.

[18]  T. K. Pal,et al.  Two-dimensional curve synthesis using linear curvature elements , 1977 .

[19]  James Ze Wang,et al.  Studying Aesthetics in Photographic Images Using a Computational Approach , 2006, ECCV.

[20]  Ichiroh Kanaya,et al.  Simulated Designer ’ s Eyes — Classification of Aesthetic Surfaces — , 2003 .