Front Cover; Curves and Surfaces; Copyright Page; Table of Contents; PREFACE; CONTRIBUTORS; Chapter 1. Parametrization for Data Approximation; 1. Introduction; 2. Local Taylor Expansion of the Curve; 3. Criteria; 4. Application to Approximation with B-Splines; References; Chapter 2. A Vector Spline Approximation With Application to Meteorology; 1. Introduction; 2. The Minimization Problem; 3. Solution of Pα,β; 4. Limit Problems; 5. Numerical Results; References; Chapter 3. Kernel Estimation in Change-Point Hazard Rate Models; 1. Introduction; 2. The Model; 3. Main Results

4. Simulation Results and Concluding RemarksReferences; Chapter 4. Spline Manifolds; 1. Introduction; 2. BasicTools; 3. A Fundamental Result; 4. Spline Manifolds; 5. P(D)-positive Vectorial Distributions; 6. Extension of P(D)-spline; References; Chapter 5. Use of Simulated Annealing to Construct Triangular Facet Surfaces; 1. Introduction; 2. Optimal Triangulations; 3. Locally Optimal Triangulations and Edge Swapping; 4. Simulated Annealing; 5. An Example; 6. Conclusions; References; Chapter 6.G1 and G2 Continuity Between (SBR) Surfaces; 1. Geometric Framework

2. Analytical Conditions3. Geometric Continuity Between Two Rectangular (SBR); References; Chapter 7. Ray Tracing Rational Parametric Surfaces; 1. Introduction; 2. Implicitization; 3. Intersection Problem; 4. Discussion; References; Chapter 8. Energy-Based Segmentation of Sparse Range Data; Abstract; 1. Segmentation: Introduction and Background; 2. Definition of the Model of World Surfaces; 3. Experimentation; References; Chapter 9. Error Estimates for Multiquadric Interpolation; 1. Introduction and Statement of Main Result; 2. Proof of Theorem 1; References

Chapter 10. A Geometrical Analysis for a Data Compression of 3D Anatomical Structures1. Introduction; 2. Data Format; 3. Feature Extraction; 4. Data Compression; 5. Contour Reconstruction; 6. Conclusion; References; Chapter 11. Ck Continuity of (SBR) Surfaces; 1. Framework; 2. Rectangular (SBR) Surfaces; 3. Triangular (SBR) Surfaces; References; Chapter 12. A Note on Piecewise Monotonie Bivariate Interpolation; 1. Introduction; 2. Outline of the Algorithm; 3. Conclusions; References; Chapter 13. Real-Time Signal Analysis with Quasi-Interpolatory Splines and Wavelets

1. Introduction2. Spline Sampling of Digital Signals; 3. Wavelet Signal Decomposition; 4. Wavelet Signal Reconstruction; References; Chapter 14. Polynomial Expansions for Cardinal Interpolants and Orthonormal Wavelets; 1. Introduction; 2. The Case of RealΦ; 3. The Case of ComplexΦ; 4. Construction of Quasi-Interpolation Operators; References; Chapter 15. Realtime Pipelined Spline Data Fitting for Sketched Curves; 1. Introduction; 2. Background; 3. Data Reduction; 4. Pipelining the Algorithm; 6. Remarks; References; Chapter 16. Remarks on Digital Terrain Modelling Accuracy

1. On Terrain Modelling Accuracy

Curves and Surfaces

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