Variational Theory of Splines
(Sprache: Englisch)
Th e vari a t i on al s p li ne t heo ry w h ic h orig i na t es from th e w ell-kn own p ap er b y J. e . Hollid a y ( 1957) i s t od a y a we ll- deve lo pe d fi eld in a p pr o x - mat i o n t he o ry . T he ge ne ra l d efinition of s p l i nes in t he...
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Klappentext zu „Variational Theory of Splines “
Th e vari a t i on al s p li ne t heo ry w h ic h orig i na t es from th e w ell-kn own p ap er b y J. e . Hollid a y ( 1957) i s t od a y a we ll- deve lo pe d fi eld in a p pr o x - mat i o n t he o ry . T he ge ne ra l d efinition of s p l i nes in t he Hilb er t s pace , - i st ence , uniquen e s s , and ch ar a c t eriz a tion t he o re ms w ere obt ain ed a b o ut 35 ye a r s ago b y M . A t t ei a , P . J . Laur en t , a n d P . M. An selon e , bu t in r e cent y e a r s important n e w r esult s h a v e b e en ob t ain ed in th e a bst ract va r i a t i o n a l s p l i ne theor y .
Inhaltsverzeichnis zu „Variational Theory of Splines “
Preface. Introduction: A Guide to the Reader. 1. Splines in Hilbert Spaces. 2. Reproducing Mappings and Characterization of Splines. 3. General Convergence Techniques and Error Estimates for Interpolating Splines. 4. Splines in Subspaces. 5. Interpolating DM-Splines. 6. Splines on Manifolds. 7. Vector Splines. 8. Tensor and Blending Splines. 9. Optimal Approximation of Linear Operators. 10. Classification of Spline Objects. 11. SigmaPi-Approximations and Data Compression. 12. Algorithms for Optimal Smoothing Parameter. Appendices. Bibliography. Index.
Bibliographische Angaben
- Autoren: Anatoly Yu. Bezhaev , Vladimir A. Vasilenko
- 2001, 280 Seiten, Maße: 25,4 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 0306466422
- ISBN-13: 9780306466427
Sprache:
Englisch
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