East Asian mathematical journal

  • 제29권1호
  • /
  • Pages.53-68
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  • 2013
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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GEOMETRIC HERMITE INTERPOLATION FOR PLANAR PYTHAGOREAN-HODOGRAPH CUBICS

  • Lee, Hyun Chol (Department of Mathematics, Gyeongsang National University) ;
  • Lee, Sunhong (Department of Mathematics and RINS, Gyeongsang National University)
  • 투고 : 2012.11.22
  • 심사 : 2012.12.31
  • 발행 : 2013.01.31
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초록

We solve the geometric Hermite interpolation problem with planar Pythagorean-hodograph cubics. For every Hermite data, we determine the exact number of the geometric Hermite interpolants and represent the interpolants explicitly. We also present a simple criterion for determining whether the interpolants have a loop or not.

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참고문헌

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