A generalized log aesthetic space curve

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).