Pythagorean-hodograph preserving mappings

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摘要

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.

论文关键词：65D17,65D18,68U07,Pythagorean-hodograph curves,Pythagorean-hodograph preserving mappings,Hermite interpolation

论文评审过程：Received 13 July 2006, Revised 12 December 2006, Available online 10 May 2007.

论文官网地址：https://doi.org/10.1016/j.cam.2007.04.026