19 papers presented by international experts give a state-of-the-art survey of the relevant problems and issues in modeling, CAD/CAM, scientific visualization, and computational geometry.The following topics are treated:- surface design and fairing- subdivision schemes- variational design- NURBS- reverse engineering- physically-based modelling- medical imaging
Applications of a Fruitful Relation between a Dupin Cyclide and a Right Circular Cone.- Interrogative Visualization.- Representation Conversions for Nef Polyhedra.- The Shape Parametrisation of an Aircraft Engine Nacelle and Pylon.- Multiresolution Analysis with Non-Nested Spaces.- Optimal Degree Reduction of Free Form Curves.- Intersection Methods of Convergence.- Approximation of Curves by a Measure of Shape.- Geometric Design of Rational Bézier Line Congruences and Ruled Surfaces Using Line Geometry.- Variational Design and Parameter Optimized Surface Fitting.- Shape Improvement of Surfaces.- A Philosophy for Smooth Contour Reconstruction.- The Design of Physically Accurate Fluid Flow.- A Quadratic-Programming Method for Removing Shape-Failures from Tensor-Product B-Spline Surfaces.- Fill-in Regions.- Smoothing Polyhedra Using Trimmed Bicubic Patches.- A G2-Subdivision Algorithm.- Octtrees Meet Splines.- Degree Reduction of B-Spline Curves.
"... gives a good review of the actual state of research in the field of Geometric Modelling. Therefore this book will mainly be used by researchers in this field.” Simulation News Europe, 26/1999
"... gives a good review of the actual state of research in the field of Geometric Modelling. Therefore this book will mainly be used by researchers in this field." Simulation News Europe, 26/1999
Inhaltsverzeichnis
Applications of a Fruitful Relation between a Dupin Cyclide and a Right Circular Cone.- Interrogative Visualization.- Representation Conversions for Nef Polyhedra.- The Shape Parametrisation of an Aircraft Engine Nacelle and Pylon.- Multiresolution Analysis with Non-Nested Spaces.- Optimal Degree Reduction of Free Form Curves.- Intersection Methods of Convergence.- Approximation of Curves by a Measure of Shape.- Geometric Design of Rational Bézier Line Congruences and Ruled Surfaces Using Line Geometry.- Variational Design and Parameter Optimized Surface Fitting.- Shape Improvement of Surfaces.- A Philosophy for Smooth Contour Reconstruction.- The Design of Physically Accurate Fluid Flow.- A Quadratic-Programming Method for Removing Shape-Failures from Tensor-Product B-Spline Surfaces.- Fill-in Regions.- Smoothing Polyhedra Using Trimmed Bicubic Patches.- A G2-Subdivision Algorithm.- Octtrees Meet Splines.- Degree Reduction of B-Spline Curves.
Klappentext
19 papers presented by international experts give a state-of-the-art survey of the relevant problems and issues in modeling, CAD/CAM, scientific visualization, and computational geometry.
The following topics are treated:
. surface design and fairing
. subdivision schemes
. variational design
. NURBS
. reverse engineering
. physically-based modelling
. medical imaging
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