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. Front Matter....Pages i-xi Front Matter....Pages 1-1 Modeling and Visualization of Complex Geometric Environments....Pages 3-30 Adaptive Surfaces Fairing by Geometric Diffusion....Pages 31-49 Finite Difference Surface Representation Considering Effect of Boundary Curvature....Pages 51-64 A New and Direct Approach for Loop Subdivision Surface Fitting....Pages 65-78 A Novel Algorithm for Computing Intersections of Two Surfaces of Revolution....Pages 79-93 An Improved Scan-line Algorithm for Display of CSG Models....Pages 95-112 Rotating Squares to Boundary Cubes : Boundary Representation and Classification Techniques for Two- and Three-dimensional Objects....Pages 113-129 A Rational Spline with Point Tension : An Alternative to NURBS of Degree Three....Pages 131-148 Front Matter....Pages 149-149 Muscle Modeling and Rendering....Pages 151-169 Skeletal Implicit Surface Reconstruction and Particle System for Organ’s Interactions Simulation....Pages 171-192 Constraint Satisfaction Techniques for the Generation Phase in Declarative Modeling....Pages 193-215 Surface Reconstruction Based on Compactly Supported Radial Basis Functions....Pages 217-231 Grid Method Classification of Islamic Geometric Patterns....Pages 233-254 Web Based VRML Modeling....Pages 255-280 A Rational Spline with Inflection Points and Singularities Tests on Convex Data....Pages 281-297 Front Matter....Pages 299-299 Automatic Curve Fairing System using Visual Languages....Pages 301-327 Hair Design Based on the Hierarchical Cluster Hair Model....Pages 329-359 Shape Modeling for 3D Archaeological Vessels....Pages 361-374 Archimedean Kaleidoscope : A Cognitive Tool to Support Thinking and Reasoning about Geometric Solids....Pages 375-393 Towards a Web Based CAD System....Pages 395-412 Front Matter....Pages 299-299 Interactive Handling of a Construction Plan in CAD....Pages 413-429 Computer Aided Chair Design System Using Form Features....Pages 431-440 Back Matter....Pages 441-454 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.
