A new four-point shape-preserving C3 C 3 subdivision scheme ?
We present a new relaxation of binary four-point subdivision scheme. The scheme keeps the second-order divided difference at the old vertices unchanged when inserting new vertices. Our limit functions are both monotonicity preserving and convexity preserving. Our limit curve is at least C3 C 3 continuous when using the symbol of the scheme.
monotonicity preservation convexity preservation binary subdivision smoothness