Topological criterion for selection of quintic Pythagorean-hodograph Hermite interpolants

Hyeong In Choi, Rida T. Farouki, Song Hwa Kwon, Hwan Pyo Moon

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

A topological approach to identifying the "good" interpolant among the four distinct solutions to the first-order Hermite interpolation problem for planar quintic Pythagorean-hodograph curves is presented. An existence theorem is proved, together with a complete analysis of uniqueness/non-uniqueness properties. A simple formula for finding the "good" solution, without appealing to curve fairness or energy integrals, is also presented.

Original languageEnglish
Pages (from-to)411-433
Number of pages23
JournalComputer Aided Geometric Design
Volume25
Issue number6
DOIs
StatePublished - Aug 2008

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