Pythagorean-hodograph preserving mappings

  • Authors:
  • Gwang-Il Kim;Sunhong Lee

  • Affiliations:
  • Department of Mathematics, and Research Institute of Natural Science, Gyeongsang National University, Jinju 660-701, South Korea;Department of Mathematics, and Research Institute of Natural Science, Gyeongsang National University, Jinju 660-701, South Korea

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2008

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Abstract

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.