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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 marks the culmination of the four-year EU-funded research project, Multiresolution in Geometric Modelling (MINGLE). The book contains seven survey papers, providing a detailed overview of recent advances in the various fields within multiresolution modelling, and sixteen additional research papers. Each of the seven parts of the book starts with a survey paper, followed by the associated research papers in that area. All papers were originally presented at the MINGLE 2003 workshop held at Emmanuel College, Cambridge, UK, 9-11 September 2003.

Geometrical constructions --- Computer graphics --- Visualization --- Constructions, Geometric --- Constructions, Geometrical --- Geometric constructions --- Geometry --- Geometry, Differential --- Kinematics --- Line geometry --- 681.3*I3 --- 681.3*I3 Computer graphics (Computing methodologies) --- Computer graphics (Computing methodologies) --- Geometry, Line --- Algebras, Linear --- Mathematics --- Mechanics --- Motion --- Geometry. --- Computer simulation. --- Visualization. --- Computer graphics. --- Computer science. --- Mathematical Modeling and Industrial Mathematics. --- Simulation and Modeling. --- Computer Graphics. --- Computational Science and Engineering. --- Informatics --- Science --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Euclid's Elements --- Visualisation --- Imagination --- Visual perception --- Imagery (Psychology) --- Digital techniques --- Mathematical models. --- Mathematics. --- Computer mathematics. --- Computer mathematics --- Math --- Models, Mathematical