Author | Bezhaev, Anatoly Yu. author |
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Title | Variational Theory of Splines [electronic resource] / by Anatoly Yu. Bezhaev, Vladimir A. Vasilenko |
Imprint | Boston, MA : Springer US : Imprint: Springer, 2001 |
Connect to | http://dx.doi.org/10.1007/978-1-4757-3428-7 |
Descript | XVIII, 280 p. online resource |
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. ??-Approximations and Data Compression -- 12. Algorithms for Optimal Smoothing Parameter -- Appendices -- Theorems from Functional Analysis Used in This Book -- A.1 Convergence in Hilbert Space -- A.2 Theorems on Linear Operators -- A.3 Sobolev Spaces in Domain -- On Software Investigations in Splines -- B.1 One-Dimensional Case -- B.2 Multi-Dimensional Case