Description
Springer Tutorials On Multiresolution In Geometric Modelling Summer School Lecture Notes by Armin Iske, Ewald Quak, Michael S. Floater
This is the only textbook available on multiresolution methods in geometric modeling, a central topic in visualization, which is of great importance for industrial applications. Written in tutorial form, the book is introductory in character, and includes supporting exercises. Other supplementary material and software can be downloaded from the website www.ma.tum.de/primus 2001/.
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.