Only textbook on multiresolution methods for geometric modelling
Central topic in visualisaion which is of great importance for industrial applications
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/.
|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/.
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.
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/.
Inhaltsverzeichnis
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.
Klappentext
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/.
Bisher einziges Lehrbuch zum Thema "Methoden der Multiresolution für geometrisches Modellieren"Ein zentrales Thema in der Visualisierung, die ihrerseits bei Industrieanwendungen sehr wichtig ist.
