Geometric Modeling: Techniques, Applications, Systems and Tools

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Springer Science & Business Media, Feb 29, 2004 - Computers - 454 pages
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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. The book is useful for researchers, practicing engineers, computer scientists, and many others who seek state of the art techniques, applications, systems and tools for Geometric Modeling and Graphics. The book will be a useful source of ideas and techniques for those who seek further research and practice in the development and applications of Computer Aided Geometric Modeling. The introduction to various techniques and applications, together with the developed systems and tools, may serve to stimulate the interest of undergraduate senior students as well as graduate students in the areas of Computer Science, Engineering, and Mathematics. The book consists of twenty-two well documented chapters distributed in three sections of Geometric Modeling Techniques, Applications, Systems and Tools.
 

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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
255
A Rational Spline with Inflection Points and Singularities Tests on Convex Data
281
Systems Tools
299
Automatic Curve Fairing System using Visual Languages
301
Hair Design Based on the Hierarchical Cluster Hair Model
329
Shape Modeling for 3D Archaeological Vessels
361
Archimedean Kaleidoscope A Cognitive Tool to Support Thinking and Reasoning about Geometric Solids
375
Towards a Web Based CAD System
395

Applications
149
Muscle Modeling and Rendering
151
Skeletal Implicit Surface Reconstruction and Particle System for Organs Interactions Simulation
171
Constraint Satisfaction Techniques for the Generation Phase in Declarative Modeling
193
Surface Reconstruction Based on Compactly Supported Radial Basis Functions
217
Grid Method Classification of Islamic Geometric Patterns
233
Interactive Handling of a Construction Plan in CAD
413
Computer Aided Chair Design System Using Form Features
431
Colored Pictures
441
Index of Authors
453
Copyright

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About the author (2004)

Dr. Sarfraz received his B.S.c.in mathematics and statistics from Govt. College, Lahore, Pakistan in 1977, an M.S.c in mathematics and an M.S.c in Numerical Analysis from the University of Brunel. He then went on to complete his P.h.D in Computer Aided Geometric Design also at The University of Brunel.

Dr. Sarfraz is currently Associate Professor at King Fahd University of Petroleum and Minerals, Saudi Arabia. He is a member of many professional bodies including the IEEE and the IEEE Computer Society. He has published three books and written numerous journal papers and reports.