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Shape-preserving interpolation by cubic splines

โœ Scribed by Yu. S. Volkov; V. V. Bogdanov; V. L. Miroshnichenko; V. T. Shevaldin

Book ID
110149846
Publisher
SP MAIK Nauka/Interperiodica
Year
2010
Tongue
English
Weight
492 KB
Volume
88
Category
Article
ISSN
0001-4346

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โœ John E. Lavery ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 180 KB

Univariate cubic L p interpolating splines, 1 p โˆž, 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 โˆž splines do not preserve shape well. In contrast, cub