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Pythagorean-hodograph preserving mappings. (English) Zbl 1138.65016

Summary: We study the scaled Pythagorean-hodograph (PH) preserving mappings. These mappings make offset-rational isothermal surfaces and map PH curves to PH curves. We present a method to produce a great number of the scaled PH preserving mappings. For an application of the PH preserving mappings, we solve the Hermite interpolation problem for PH curves in the space.

MSC:

65D17 Computer-aided design (modeling of curves and surfaces)
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