Topological Approach to the Hermite Interpolation Problem for Quintic Pythagorean Hodograph Curves∗†

نویسندگان

  • Hyeong In Choi
  • Rida T. Farouki
  • Song-Hwa Kwon
  • Hwan Pyo Moon
چکیده

A topological approach of determining the best one out of four solutions of the Hermitian interpolation problem for quintic Pythagorean hodograph curves is presented. An existence theorem is proved together with complete analysis of uniqueness/nonuniqueness properties. A simple formula of obtaining the best solution without using any curve fairing or curvature integral is also presented.

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تاریخ انتشار 2006