Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
441339 | Computer Aided Geometric Design | 2008 | 23 Pages |
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.
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