Quadratic TC-Bézier curves with shape parameter

For the problem of shape controlling in curves and surfaces design with free from,quadratic TC-Bezier curves with shape parameter is constructed in the space 1,sin,cos,sin2,so that the shape of the constructed curves is adjusted by changing the parameter value in 0≤λ≤2.The circle and ellipse is represented with this curve accurately.1condition of quadratic TC-Bezier curves and an example in surface modeling are presented.The result of experimentation shows that quadratic TC-Bezier curves locate at two sides of quadratic Bezier curves,its shape is changed by shape parameter,so it have more agility.