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 language | English |
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Pages (from-to) | 411-433 |
Number of pages | 23 |
Journal | Computer Aided Geometric Design |
Volume | 25 |
Issue number | 6 |
DOIs | |
State | Published - Aug 2008 |