We show that for space curves the performance of standard cubic Hermite interpolation can be improved by interpolating a third point within the parameter interval. The resulting method is easy to implement and achieves the optimal approximation order 5.
机构:
Georg August Universitat Gottingen, Inst Numer & Angew Math, D-37083 Gottingen, GermanyGeorg August Universitat Gottingen, Inst Numer & Angew Math, D-37083 Gottingen, Germany
Schaback, R
MATHEMATICAL METHODS FOR CURVES AND SURFACES II,
1998,
: 417
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428