Tutorials on Multiresolution in Geometric Modelling

Summer School Lecture Notes
2002
ISBN: 978-3-540-43639-3
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 421 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1750 g

Reihe: Mathematics and Visualization

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/.

Zielgruppe

Graduate

Autoren/Hrsg.

Iske, Armin

Floater, Michael S.

Quak, Ewald

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computersimulation & Modelle, 3-D Graphik
• Mathematik | Informatik Mathematik Geometrie Euklidische Geometrie

Inhaltsverzeichnis

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.- II. Wavelets.- Nonuniform B-Splines and B-Wavelets.- BLaC Wavelets and Non-Nested Wavelets.- Multiresolution on the Sphere.- III. Scattered Data Modelling.- Scattered Data Modelling Using Radial Basis Functions.- Scattered Data Fitting with Bivariate Splines.- Parameterization of Triangulations and Unorganized Points.- IV. Coding and Data Structures.- Simplification and Compression of 3D Meshes.- Multiresolution Mesh Representation: Models and Data Structures.