Tutorials on Multiresolution in Geometric Modelling

Summer School Lecture Notes

Armin Iske, Ewald Quak, Michael S. Floater

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English

Weidenfeld & Nicolson
01 September 2006

Numerical analysis; Graphics programming; Information visualisation

Series: 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/."

Edited by: Armin Iske, Ewald Quak, Michael S. Floater
Imprint: Weidenfeld & Nicolson
Country of Publication: Germany
Edition: Softcover reprint of hardcover 1st ed. 2002
Dimensions: Height: 235mm, Width: 155mm, Spine: 22mm
Weight: 1.340kg
ISBN: 9783642078194
ISBN 10: 3642078192
Series: Mathematics and Visualization
Pages: 436
Publication Date: 01 September 2006
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.