Wavelets, Images, and Surface Fitting  book cover
1st Edition

Wavelets, Images, and Surface Fitting




ISBN 9781568810409
Published July 15, 1994 by A K Peters/CRC Press
544 Pages

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Book Description

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.

Table of Contents

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

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