Abstract
The cubic trigonometric basis functions are constructed by including two exponential functions with five shape parameters and a tension parameter. Also, the properties of the basis functions are discussed. We propose to define the rational cubic trigonometric exponential Bezier curve with weight and the continuity condition of the curve. Visual effects of parameters and tension parameter along with weight are presented. We compare the proposed method of constructing the desired curve with the existing method. The conic sections of the curve are also discussed.
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