Different interpolation techniques for a set of three data points at x-coordinates indicated by the dotted vertical lines. The solid and dashed lines correspond to the interpolation in the different intervals [x_i − 1, x_i] and [x_i, x_i + 1], respectively. Linear interpolations, quadratic interpolations (connecting all three data points), and a monotonic Bézier curve (with ω calculated from Eq. (B.5) in the interval [x_i − 1, x_i]) are indicated in red, blue, and green. Since the quadratic interpolation is already monotonic in the interval [x_i, x_i + 1], the monotonic Bézier curve coincides with the dashed, blue line. Control points are indicated with coloured asterisks.