Variational Theory of Splines

Inhaltsverzeichnis

• 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.