Geometric Modeling: Techniques, Applications, Systems and Tools / Edition 1

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Overview

This book aims to provide a valuable source, which focuses on interdisciplinary methods and affiliate research in the area of Geometric Modeling and Graphics. It aims to provide the user community with a variety of Geometric Modeling techniques, applications, systems and tools necessary for various real life problems in areas such as Designing objects, Medical Visualization, Scientific Data Visualization, Archaeology, Toon Rendering, Virtual Reality, Body Simulation, etc. It also aims to collect and disseminate information from various disciplines including Curve and Surface Fitting, Geometric Algorithms, Scientific Visualization, Shape Abstraction and Modeling, Intelligent CAD Systems, Computational Geometry, Solid Modeling, Shape Analysis and Description, Medical and Industrial Applications. The major goal of this book is to stimulate views and provide a source where researchers and practitioners can find the latest developments in the field of Geometric Modeling and related practical issues.

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Product Details

  • ISBN-13: 9781402018176
  • Publisher: Springer Netherlands
  • Publication date: 2/29/2004
  • Edition description: 2004
  • Edition number: 1
  • Pages: 466
  • Product dimensions: 6.42 (w) x 9.96 (h) x 0.98 (d)

Table of Contents

Ch. 1 Modeling and Visualization of Complex Geometric Environments 3
Ch. 2 Adaptive Surfaces Fairing by Geometric Diffusion 31
Ch. 3 Finite Difference Surface Representation Considering Effect of Boundary Curvature 51
Ch. 4 A New and Direct Approach for Loop Subdivision Surface Fitting 65
Ch. 5 A Novel Algorithm for Computing Intersections of Two Surfaces of Revolution 79
Ch. 6 An Improved Scan-line Algorithm for Display of CSG Models 95
Ch. 7 Rotating Squares to Boundary Cubes: Boundary Representation and Classification Techniques for Two- and Three-dimensional Objects 113
Ch. 8 A Rational Spline with Point Tension: An Alternative to NURBS of Degree Three 131
Ch. 9 Muscle Modeling and Rendering 151
Ch. 10 Skeletal Implicit Surface Reconstruction and Particle System for Organ's Interactions Simulation 171
Ch. 11 Constraint Satisfaction Techniques for the Generation Phase in Declarative Modeling 193
Ch. 12 Surface Reconstruction Based on Compactly Supported Radial Basis Functions 217
Ch. 13 Grid Method Classification of Islamic Geometric Patterns 233
Ch. 14 Web Based VRML Modeling 255
Ch. 15 A Rational Spline with Inflection points and Singularities Tests on Convex Data 281
Ch. 16 Automatic Curve Fairing System Using Visual Languages 301
Ch. 17 Hair Design Based on the Hierarchical Cluster Hair Model 329
Ch. 18 Shape Modeling for 3D Archaeological Vessels 361
Ch. 19 Archimedean Kaleidoscope: A Cognitive Tool to Support Thinking and Reasoning about Geometric Solids 375
Ch. 20 Towards a Web Based CAD System 395
Ch. 21 Interactive Handling of a Construction Plan in CAD 413
Ch. 22 Computer Aided Chair Design System Using Form Features 431
Section On Colored Pictures 441
Author Index 453
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