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@article{146970,
        author = {urvashi mishra},
        title = {CUBIC TRIGONOMETRIC RATIONAL WAT BEZIER CURVES   },
        journal = {International Journal of Innovative Research in Technology},
        year = {},
        volume = {5},
        number = {2},
        pages = {691-697},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=146970},
        abstract = {A new kind of Rational cubic Bézier basis function by the blending of algebraic polynomials and trigonometric polynomials using weight method is presented, named WAT Rational Bézier basis are used to developed rational cubic Bezier curve. Here weight coefficients are also shape parameters, which are called weight parameters. The interval [0, 1] of weight parameter values can be extended to [ -2,2.33]and the corresponding WAT Bézier curves and surfaces are defined by the introduced new rational basis functions. The WAT  Bézier curves inherit most of properties similar to those of Cubic Bézier curves, and can be adjusted easily by using the shape parameter λ. With the shape parameter chosen properly, the defined curves can express exactly any plane curves or space curves defined by parametric equation based on{1, sint, cost, sint2t, cos2t} and circular helix with high degree of accuracy without using rational form. Examples are given to illustrate that the curves and surfaces can be used as an efficient new model for geometric design in the fields of CAGD. This WAT Bézier curves much closer to the control point compare to the other curves. The geometric effect of the of this weight parameter is discussed.},
        keywords = {Bezier curves and surfaces, trigonometric polynomial,  shape parameter, G2 and C2 continuity},
        month = {},
        }