1st Edition
Wavelets, Images, and Surface Fitting
This volume documents the results and presentations relating to the use of wavelet theory and other methods in surface fitting and image reconstruction of the Second International Conference on Curves and Surfaces, held in Chamonix in 1993. The papers represent directions for future research and development in many areas of application.
Preface
Contributors
A Vector Spline Quasi-Interpolation
L. Amodei and M. N. Benbourhim
Implementation on a Shared Memory Parallel Computer of Algorithms for Approximating Data on a Family of Parallel Lines
I. J. Anderson, M. G. Cox, S. Harbour, and J. C. Mason
Wavelet Methods for Smoothing Noisy Data
A. Antoniadis
Quasi-interpolants and (quasi-) Wavelets, and Hierarchical Bases
M. Atteia
Fast DCT—Algorithms, Interpolating Wavelets, and Hierarchical Bases
G. Baszenski and M. Tasche
Spline Curves and Surfaces with Tension
A. Bouhamidi and A. Le Méhauté
Irregularity Detection from Noisy Data with Wavelets
M. Bozzini, F. De Tisi, and M. Rossini
Natural Neighbor Interpolation on the Sphere
J. L. Brown
Error Estimates for Periodic Interpolation by Translates
G. Brumme
An Energy-based Paradigm for Multimodal Images Fusion
L. Burnie and P. Cinquin
Radical Basis Functions: LP-Approximation Orders with Scattered Centres
M. D. Buhmann and A. Ron
3D Curve Reconstruction from Degraded Projections
B. Chalmond, F. Coldefy, and B. Lavayssière
A Study of Compactly Supported Scaling Functions and Wavelets
Charles Chui and J. Wang
Multiresolution Analysis and Wavelets on Locally Compact Abelian Groups
S. Dahlke
Some Remarks on Multiscale Transformations, Stability, and Biorthogonality
W. Dahmen
Fractal Interpolation Functions for a Class of Finite Elements
S. De Marchi and M. Morandi Cecchi
Adaptive Wavelet Bases for Image Compression
R. A. DeVore
A Quasi-Interpolant Box-Spline Formulation for Image Compression and Reconstruction
H. Diamond, L. Arakelian Raphael, and D. A. Williams
The Subdivision Experience
N. Dyn and D. Levin
Banded Matrices with Banded Inverses III: p-Slanted Matrices
M. Gasca, Charles A. Micchelli, and J. M. Peña
Invariant Approximation of Star-Shaped Form for Medical Applications
F. Ghorbel and V. Burdin
Surface Construction Based on Variational Principles
G. Greiner
Direct Methods for Constructing Positive Spline Interpolants
W. Heβ and J. W. Schmidt
Conditionally Lower Riesz Bounds for Scattered Data Interpolation
K. Jetter
The ‘Face Lift’ Algorithm
J. Kaasa and G. Westgaard
Some Generic Properties of the Set of Cross-Sections and the Set of Orthogonal Projections of a Smooth Surface
Y. L. Kergosien
Splines Constructed by Pieces of Polyharmonic Functions
O. I. Kounchev
On the Fast Evaluation of Integrals of Refinable Functions
A. Kunoth
Rational Ck+l Finite Elements in R2
A. Le Méhauté and K. N. Agbévé
Convolution Kernels for Approximation by Radial Basis Functions
J. Levesley
Using Radial Functions on Compact Domains
W. Light
Smoothing Noisy Data by Kriging with Nugget Effects
P. Montès
Nonnegative Interpolation by Biquadratic Splines on Refined Rectangular Grids
B. Mulansky and J. W. Schmidt
Spline Wavelets with Higher Defect
G. Plonka
Regularity Analysis of Non-uniform Data
C. Potier and C. Vercken
A Duality Principle for Trigonometric Wavelets
J. Prestin and E. Quak
Decomposition and Reconstruction Algorithms for Bivariate Spline Wavelets on the Unit Square
E. Quak and N. Weyrich
Some Criteria to Evaluate the Quality of a Quasi-Interpolant
C. Rabut
Hölder Regularity of Subdivision Schemes and Wavelets
O. Rioul
Hermite and Lagrange Interpolation by Quadratic Splines on Non-uniform Criss-Cross Triangulations
P. Sablonnière and F. Jeeawock-Zedek
Partial Differential Equation Techniques for Surface Determination
C. Sbert
Approximation of Polynomials by Radial Basis Functions
R. Schaback
Modeling of Geographical Surfaces Using Finite Elements
J. Springer
Orthogonal Periodic Spline Wavelets
Manfred Tasche
Approximation of Parametric Surfaces with Discontinuities by Discrete Smoothing Dm-splines
J. J. Torrens
Wavelet Analysis of Refinable Functions
Lars F. Villemoes
Interpolation of an Arbitrary Rectangular Mesh with Local Control and Prescribed Continuity
M. Walker
Constrained Surfaces Fitting Using Powell-Sabin Splines
K. Willemans and P. Dierckx
B-spline Patches for Surface Reconstruction in Computer Vision
C. Zhao and Roger Mohr
Biography
Pierre-Jean Laurent, Alain Le Mehaute, Larry Schumaker
