Quadratic TC-Bezier Curves with Shape Parameter

摘要

Quadratic TC-Bezier curves with shape parameter is constructed in a special space, it shares most optimal properties as those of the quadratic Bezier curves and its shape can be adjusted by changing the parameter value in 0 ≤ λ ≤ 2. The circle and ellipse can be represented with this curve accurately. Presents G1 condition of quadratic TC-Bezier curves, the results have definite geometric meanings and can be applied to surface modeling conveniently.