Curves and Surfaces provides information pertinent to the fundamental aspects of approximation theory with emphasis on approximation of images, surface compression, wavelets, and tomography. This book covers a variety of topics, including error estimates for multiquadratic interpolation, spline manifolds, and vector spline approximation. Organized into 77 chapters, this book begins with an overview of the method, based on a local Taylor expansion of the final curve, for computing the parameter values. This text then presents a vector approximation based on general spline function theory. Read more...
Abstract: Curves and Surfaces provides information pertinent to the fundamental aspects of approximation theory with emphasis on approximation of images, surface compression, wavelets, and tomography. This book covers a variety of topics, including error estimates for multiquadratic interpolation, spline manifolds, and vector spline approximation. Organized into 77 chapters, this book begins with an overview of the method, based on a local Taylor expansion of the final curve, for computing the parameter values. This text then presents a vector approximation based on general spline function theory

lgrsnf/O:\new\kolx\89\Cs_Computer science\CsCg_Computational geometry\Laurent P.-J., Le Mehaute A., Schumaker L.L. (eds.) Curves and surfaces (AP, 1991)(ISBN 0124386601)(T)(524s)_CsCg_.djvu

lgli/Cs_Computer science/CsCg_Computational geometry/Laurent P.-J., Le Mehaute A., Schumaker L.L. (eds.) Curves and surfaces (AP, 1991)(ISBN 0124386601)(T)(524s)_CsCg_.djvu

nexusstc/Curves and surfaces/095c27d72abbb3a9c84b2cff3a12c8c7.djvu

Pierre Jean Laurent; Alain Le Méhauté; Larry L Schumaker; Association française d'approximation; International Conference on Curves and Surfaces

Pierre-Jean Laurent, Alain Le Méhauté, Larry L. Schumaker, Alain Le Mehaute, Larry Schumaker

edited by Pierre-Jean Laurent, Alain Le Méhauté, Larry L. Schumaker

Laurent, Pierre-Jean; Méhauté, Alain Le; Schumaker, Larry L.

Pierre-Jean Laurent, Alain Le Mehaute, Larry L. Schumaker

Laurent, Pierre-Jean, Mehaute, Alain Le

Elsevier Science & Technology Books

Academic Press, Incorporated

Morgan Kaufmann Publishers

Burns & Oates Ltd

Brooks/Cole

United Kingdom and Ireland, United Kingdom

United States, United States of America

Elsevier Ltd., Boston, 1991

Boston, Massachusetts, 1991

San Diego, California, 1991

Kent, 2015

2, 2014

kolxo3 -- 89

lg2358285

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Includes bibliographical references.
Papers from the First International Conference on Curves and Surfaces, held June 21-27, 1990 in Chamonix-Mont-Blanc, and organized by the Association française d'approximation.

Content: 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 P <
U+00dc>
, <
U+00dd>
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. Basic Tools
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 Real <
U+005a>
3. The Case of Complex <
U+005a>
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.

Curves and Surfaces provides information pertinent to the fundamental aspects of approximation theory with emphasis on approximation of images, surface compression, wavelets, and tomography. This book covers a variety of topics, including error estimates for multiquadratic interpolation, spline manifolds, and vector spline approximation.<br><br>Organized into 77 chapters, this book begins with an overview of the method, based on a local Taylor expansion of the final curve, for computing the parameter values. This text then presents a vector approximation based on general spline function theory. Other chapters consider a nonparametric technique for estimating under random censorship the amplitude of a change point in change point hazard models. This book discusses as well the algorithm for ray tracing rational parametric surfaces based on inversion and implicitization. The final chapter deals with the results concerning the norm of the interpolation operator and error estimates for a square domain.<br><br>This book is a valuable resource for mathematicians.

Curves and Surfaces provides information pertinent to the fundamental aspects of approximation theory with emphasis on approximation of images, surface compression, wavelets, and tomography. This book covers a variety of topics, including error estimates for multiquadratic interpolation, spline manifolds, and vector spline approximation. Organized into 77 chapters, this book begins with an overview of the method, based on a local Taylor expansion of the final curve, for computing the parameter values. This text then presents a vector approximation based on general spline function theory. Other chapters consider a nonparametric technique for estimating under random censorship the amplitude of a change point in change point hazard models. This book discusses as well the algorithm for ray tracing rational parametric surfaces based on inversion and implicitization. The final chapter deals with the results concerning the norm of the interpolation operator and error estimates for a square domain. This book is a valuable resource for mathematicians.

Edited By Pierre-jean Laurent, Alain Le Méhauté, Larry L. Schumaker. Papers From The International Conference On Curves And Surfaces, Held June 21-27, 1990 In Chamonix-mont-blanc, And Organized By The Association Française D'approximation. Includes Bibliographical References.

A collection of short survey papers and long research works on a number of areas in the representation of curves in a digital computer environment. Some topics covered are 3-D reconstruction, thin plate splines, geometric continuity, image compression and radial functions.

2019-04-25