Tutorials on Multiresolution in Geometric Modelling: Summer School Lecture Notes

✍ Scribed by Malcolm Sabin (auth.), Armin Iske, Ewald Quak, Michael S. Floater (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2002
• Tongue: English
• Leaves: 423
• Series: Mathematics and Visualization
• Edition: 1
• Category: Library

✦ Synopsis

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/primus2001/.

✦ Table of Contents

Front Matter....Pages I-XI
Front Matter....Pages 1-1
Subdivision of Box-Splines....Pages 3-23
Interpolatory Subdivision Schemes....Pages 25-50
Analysis of Convergence and Smoothness by the Formalism of Laurent Polynomials....Pages 51-68
Eigenanalysis and Artifacts of Subdivision Curves and Surfaces....Pages 69-92
Nonlinear Subdivision Schemes: Applications to Image Processing....Pages 93-97
Front Matter....Pages 99-99
Nonuniform B-Splines and B-Wavelets....Pages 101-146
BLaC Wavelets and Non-Nested Wavelets....Pages 147-163
Multiresolution on the Sphere....Pages 165-202
Front Matter....Pages 203-203
Scattered Data Modelling Using Radial Basis Functions....Pages 205-242
Scattered Data Fitting with Bivariate Splines....Pages 243-286
Parameterization of Triangulations and Unorganized Points....Pages 287-316
Front Matter....Pages 317-317
Simplification and Compression of 3D Meshes....Pages 319-361
Multiresolution Mesh Representation: Models and Data Structures....Pages 363-417
Back Matter....Pages 419-421

✦ Subjects

Visualization; Computer Graphics; Numerical Analysis