Geometric Modeling: Techniques, Applications, Systems and Tools

Front Cover
Muhammad Sarfraz
Springer Science & Business Media, Feb 29, 2004 - Computers - 454 pages
Computer Aided techniques, Applications, Systems and tools for Geometric Modeling are extremely useful in a number of academic and industrial settings. Specifically, Computer Aided Geometric Modeling (CAGM) plays a significant role in the construction of - signing and manufacturing of various objects. In addition to its cri- cal importance in the traditional fields of automobile and aircraft manufacturing, shipbuilding, and general product design, more - cently, the CAGM methods have also proven to be indispensable in a variety of modern industries, including computer vision, robotics, medical imaging, visualization, and even media. This book aims to provide a valuable source, which focuses on - terdisciplinary methods and affiliate research in the area. 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 the areas such as: Font Design Medical Visualization Scientific Data Visualization Archaeology Toon Rendering Virtual Reality Body Simulation It also aims to collect and disseminate information in various dis- plines including: Curve and Surface Fitting Geometric Algorithms Scientific Visualization Shape Abstraction and Modeling Intelligent CAD Systems Computational Geometry Solid Modeling v Shape Analysis and Description Industrial Applications The major goal of this book is to stimulate views and provide a source where researchers and practitioners can find the latest dev- opments in the field of Geometric Modeling.
 

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Contents

Modeling and Visualization of Complex Geometric Environments
3
Adaptive Surfaces Fairing by Geometric Diffusion
31
Finite Difference Surface Representation Considering Effect of Boundary Curvature
51
A New and Direct Approach for Loop Subdivision Surface Fitting
65
A New Algorithm for Computing Intersections of Two Surfaces of Revolution
79
An Improved Scanline Algorithm for Display of CSG Models
95
Rotating Squares to Boundary Cubes Boundary Representation and Classification Techniques for Two and Threedimensional Objects
113
A Rational Spline with Point Tension An Alternative to NURBS of Degree Three
131
Web Based VRML Modeling
253
A Rational Spline with Inflection Points and Singularities Tests on Convex Data
279
Systems Tools
297
Automatic Curve Fairing System using Visual Languages
297
Hair Design Based on the Hierarchical Cluster Hair Model
325
Shape Modeling for 3D Archaeological Vessels
357
Archimedean Kaleidoscope A Cognitive Tool to Support Thinking and Reasoning about Geometric Solids
371
Towards a Web Based CAD System
391

Applications
147
Muscle Modeling and Rendering
149
Skeletal Implicit Surface Reconstruction and Particle System for Organs Interactions Simulation
169
Constraint Satisfaction Techniques for the Generation Phase in Declarative Modeling
191
Surface Reconstruction Based on Compactly Supported Radial Basis Functions
215
Grid Method Classification of Islamic Geometric Patterns
231
Interactive Handling of a Construction Plan in CAD
409
Computer Aided Chair Design System Using Form Features
427
Colored Pictures
437
Index of Authors
449
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