Abstract
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.
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