Quadratic TC-Bézier Curves with Shape Parameter
Quadratic TC-Bézier curves with shape parameter is constructed in a special space, it shares most optimal properties as those of the quadratic Bézier curves and its shape can be adjusted by changing the parameter value in . The circle and ellipse can be represented with this curve accurately. Presents G1 condition of quadratic TC-Bézier curves, the results have definite geometric meanings and can be applied to surface modeling conveniently.
W. X. Xu et al., "Quadratic TC-Bézier Curves with Shape Parameter", Advanced Materials Research, Vols. 179-180, pp. 1187-1192, 2011