Local Convexity-Preserving 𝐶² Rational Cubic Spline for Convex Data

Figure 4

Comparison of convex and nonconvex curves through given 2D convex data.

(a) Cubic Hermite spline curve

(b) PCHIP curve

(c) 𝐶² rational cubic convex curve with 𝑢_𝑖=0.5, 𝑣_𝑖=0.5

(d) 𝐶² rational cubic convex curve with 𝑢_𝑖=1.5, 𝑣_𝑖=1.5