Tutorials on Multiresolution in Geometric Modelling

Summer School Lecture Notes

Armin Iske, Ewald Quak, Michael S. Floater

422 pages, parution le 05/09/2002

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Résumé

Multiresolution methods in geometric modelling are concerned with the generation, representation, and manipulation of geometric objects at several levels of detail. Applications include fast visualization and rendering as well as coding, compression and digital transmission of 3D geometric objects.
This book is based on thirteen tutorials presented during the European Summer School "Principles of Multiresolution in Geometric Modelling", held at the Munich University of Technology, Germany, during August 22-30, 2001. The book covers: subdivision; wavelets; scattered data modelling; and coding and data structures.
The tutorials are designed to be introductory in character, and include supporting exercises. Other supplementary material and software can be downloaded from the Web Site www.ma.tum.de/primus 2001

Contents

PART I: SUBDIVISION

Subdivision of Box-Splines
Interpolatory Subdivision Schemes
Analysis of Convergence and Smoothness by the Formalism of Laurent Polynomials
Eigenanalysis and Artifacts of Subdivision Curves and Surfaces.
Nonlinear Subdivision Schemes: Applications to Image Processing

PART II: WAVELETS

Nonuniform B-Splines and B-Wavelets
BLaC Wavelets & Non-Nested Wavelets
Multiresolution on the Sphere

PART III: SCATTERED DATA MODELLING

Scattered Data Modelling using Radial Basis Functions
Scattered Data Fitting with Bivariate Splines
Parameterization of Triangulations and Unorganized Points

PART IV: DATA STRUCTURES AND CODING

Simplification and Compression of 3D Meshes
Multiresolution Mesh Representation: Models and Data Structures.

L'auteur - Armin Iske

Iske, A., Technische Universität München, Germany, editor

L'auteur - Ewald Quak

Quak, E., SINTEF Applied Mathematics, Oslo, Norway; Editor

L'auteur - Michael S. Floater

Floater, M.S., SINTEF Applied Mathematics, Oslo, Norway

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Armin Iske, Ewald Quak, Michael S. Floater
Parution	05/09/2002
Nb. de pages	422
Format	16 x 24
Couverture	Broché
Poids	755g
Intérieur	Noir et Blanc
EAN13	9783540436393