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Shape preserving interpolation by cubicG1splines in({mathbb{R}^3})

✍ Scribed by Gašper Jaklič; Emil Žagar


Book ID
107392621
Publisher
Springer-Verlag
Year
2008
Tongue
German
Weight
261 KB
Volume
54
Category
Article
ISSN
0430-3202

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Univariate cubic Lp splines and shape-pr
✍ John E. Lavery 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 180 KB

Univariate cubic L p interpolating splines, 1 p ∞, defined by minimizing the L p norm of the second derivative over a finite-dimensional spline space, are introduced. Cubic L 2 splines, which coincide with conventional cubic splines, and cubic L ∞ splines do not preserve shape well. In contrast, cub