Trigonometric B-spline curves have gained a remarkable attention in computer-aided geometric design (CAGD). This paper presents the cubic and rational cubic trigonometric B-spline curves using new trigonometric functions and shape parameter \( \eta \in (1/2,2].\) The proposed curves inherit the basic properties of classical B-spline and have been proved. For uniform knots, both curves are \(C^2\) continuous. On non-uniform knots, cubic trigonometric curves are \(C^3\) and \(C^5\) continuous, whereas rational trigonometric curves are \(C^3\) continuous and have been derived. The applicability of proposed curves has been checked by constructing open and closed curves. Different models like glass, kettle, human hand, and vase have been designed by both schemes and compared.

三角B样条曲线已在计算机辅助几何设计（CAGD）中引起了极大的关注。本文介绍了使用新的三角函数和形状参数\（\ eta \ in（1 / 2,2]。\）的三次和有理三次三角B样条曲线。拟议的曲线继承了经典B样条的基本特性，并具有对于均匀结，两条曲线都是连续的（C ^ 2 \）；在非均匀结上，三次三角曲线是连续的（（C ^ 3 \）和（C ^ 5 \），而有理三角曲线是\（C ^ 3 \）连续且已导出。建议曲线的适用性已通过构造开放曲线和封闭曲线进行了检验。两种方案都设计并比较了玻璃，水壶，人的手和花瓶等不同的模型。