S-shaped and C-shaped transition curve using cubic trigonometric Bezier

Quintic Trigonometric Bezier Curve with Two Shape Parameters

“…A higher degree of trigonometric Bézier curve was presented in this paper with composition of two curves that fulfilled C 2 Hermite conditions. This work can be extended to shape preserving curves, designing routes or highways (Misro et al 2015(Misro et al , 2017 where it will benefit from curvature continuity. Furthermore, it can be used to construct surface patches or tensor product surface.…”

A Class of Sextic Trigonometric Bézier Curve with Two Shape Parameters

“…e proposed curves inherit the basic properties of classical B-spline and have been proved. Misro et al [21] developed the general technique to construct S-and C-shaped transition curves using cubic trigonometric Bézier Curve with two shape parameters which satisfy G 2 Hermite condition. Misro et al [22] constructed a new quintic trigonometric Bézier curve that has the potential to estimate the maximum driving speed allowed for safe driving on roads.…”

Construction of Local Shape Adjustable Surfaces Using Quintic Trigonometric Bézier Curve

“…Cao and Weng [14] introduce shape-adjustable non-uniform B-spline curves under the fixed control polygons as well as discussing some geometric properties of the curves. Misro et al [15] used cubic trigonometric Bézier curves with two shape parameter and develop S-shaped and C-shaped transition curve by satisfying G 2 Hermite condition. Yang and Zeng [16] presented the Triangular Bézier curves and surface with n and 3n(n + 1)/2 shape change parameters, respectively, which simplified the work of Chenglin [17], giving one united expression of shape change parameter and by making the geometric significance clearer.…”