Hermite Interpolation Using Möbius Transformations of Planar Pythagorean-Hodograph Cubics

Figure 3

For the Hermite dataset (0,1,2𝑒^{−√−1𝜋/4},2𝑒^{−√−1𝜋/8}), the graph on the left shows that −𝐯∈𝐷 and 𝐯∉𝐷; the central graph shows the PH cubics 𝐫(𝑡) with their control polygons; the graph on the right shows the four interpolants.

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