Curvature normal vector driven interpolatory subdivision

We present an intrinsically nonlinear interpolatory subdivision scheme with geometric information and some free parameters via discrete curvatures normal vector. Our scheme can produce fair G¹-continuous curves, which can avoid the potential pitfalls and unacceptable cases appeared in the four-point subdivision scheme. Furthermore, with the proper parameter choice, the proposed scheme is convexity-preserving, and reproduces the conic curve. Finally, the experimental results show our scheme is effective.