||Aesthetic Design with Log-aesthetic Curves and Surfaces
Miura, Kenjiro T.Gobithaasan, R.U
112 , 2015-09-18 , Institute of Mathematics for Industry, Kyushu University
Bézier, B-Spline and NURBS are de facto flexible curves developed for various design intent. However, these curves possess complex curvature function complicating the process of aesthetic shape design. In order to shorten the process, we introduce the fundmental equations of aesthetic curves and surfaces. This paper elaborates on the technicalities of Log-Aesthetic (LA) curves and surfaces along with its practical application for industrial design. It is anticipated that the emerging LA curves and surfaces have good prospects to be the standards for designing aesthetic shapes.