Frenet Frames of Trigonometric B'ezier Curves

Abstract

The geometry of curves and surfaces plays a very important role in computer-aided geometric design (CAGD). The goal of this paper is to construct the Frenet frames of trigonometric B\'ezier curves in Euclidean $ 2 $ and $ 3- $space. Especially, the curvatures of these curves are investigated at the beginning and the ending points.

Keywords

• Computer aided geometric design (CAGD)
• curvature
• Frenet frame field
• trigonometric Bezier curve
• trigonometric polynomial

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