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Hermite interpolation by hypocycloids and epicycloids with rational offsets. (English) Zbl 1211.65018
The authors show that all rational hypo- and epicycloids have Pythagorean normals and therefore also have rational offsets. Based on this observation, an efficient algorithm for G 1 Hermite interpolation with their arcs is constructed. For all regular data, there is a unique hypo- or epicycloidal arc of the given canonical type.
MSC:
65D05Interpolation (numerical methods)
65D17Computer aided design (modeling of curves and surfaces)
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