Hermite Interpolation Using Möbius Transformations of Planar Pythagorean-Hodograph Cubics

Figure 4

For the Hermite data-set (0,1,𝑒^{−√−13𝜋/5},𝑒^{−√−1𝜋/5}), 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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