No abstract

The main characteristic of visually pleasing curves used for product design is a monotonic curvature profile. Recently, a planar curve called Generalized Log Aesthetic Curve (GLAC) has been extended from the Log Aesthetic Curve (LAC), and it has an additional shape parameter,ν. This curve preserves the monotonicity of curvature and is said to produce visually pleasing curves. This paper delves on the drawable region of the GLAC segment which indicates the probable solutions of shape parameters from given interpolating points and the direction of travel at those points. The first section reviews the formulation of GLAC and its related bounds. The section describes the algorithm for identifying the drawable region. It is followed by the section describing how small changes ofνwiden the drawable boundaries. The final section discusses the superiority of GLAC compared to LAC for use in industrial product design.

Log-Aesthetic (LA) curve has been claimed as one of a most promising curve for design purpose. However, LA curve has no shape variable which can be used to control its end curvatures directly. Generalized Log-Aesthetic Curve (GLAC) which is the family of LA curve has ability to control its curvature with an extra shape parameter. This paper highlights on designing two segments of GLACs in the form of C-and S-shapes with curvature continuity using interior point method. Designers will be able to design S-shapes and C-shapes by inputting control points, its direction of travel and estimated end curvatures.

No abstract

No abstract