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Geometric Modeling

Geometric Modeling
Author: Fouad Sabry
Publisher: One Billion Knowledgeable
Total Pages: 104
Release: 2024-05-04
Genre: Computers
ISBN:

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What is Geometric Modeling Geometric modeling is a branch of applied mathematics and computational geometry that studies methods and algorithms for the mathematical description of shapes.The shapes studied in geometric modeling are mostly two- or three-dimensional, although many of its tools and principles can be applied to sets of any finite dimension. Today most geometric modeling is done with computers and for computer-based applications. Two-dimensional models are important in computer typography and technical drawing. Three-dimensional models are central to computer-aided design and manufacturing (CAD/CAM), and widely used in many applied technical fields such as civil and mechanical engineering, architecture, geology and medical image processing. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Geometric modeling Chapter 2: Computer-aided design Chapter 3: Computational geometry Chapter 4: Bézier surface Chapter 5: Constructive solid geometry Chapter 6: Solid modeling Chapter 7: Subdivision surface Chapter 8: Mesh generation Chapter 9: Procedural modeling Chapter 10: Geometric constraint solving (II) Answering the public top questions about geometric modeling. (III) Real world examples for the usage of geometric modeling in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Geometric Modeling.


Geometric Modelling

Geometric Modelling
Author: Fumihiko Kimura
Publisher: Springer
Total Pages: 374
Release: 2013-06-29
Genre: Computers
ISBN: 0387354905

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Geometric modelling has been an important and interesting subject for many years from the purely mathematical and computer science viewpoint, and also from the standpoint of engineering and various other applications, such as CAD/CAM, entertainment, animation, and multimedia. This book focuses on the interaction between the theoretical foundation of geometric modelling and practical applications in CAD and related areas. Geometric Modelling: Theoretical and Computational Basis towards Advanced CAD Applications starts with two position papers, discussing basic computational theory and practical system solutions. The well-organized seven review papers give a systematic overview of the current situation and deep insight for future research and development directions towards the reality of shape representation and processing. They discuss various aspects of important issues, such as geometric computation for space search and shape generation, parametric modelling, feature modelling, user interface for geometric modelling, geometric modelling for the Next Generation CAD, and geometric/shape standard. Other papers discuss features and new research directions in geometric modelling, solid modeling, free-form surface modeling, intersection calculation, mesh modeling and reverse engineering. They cover a wide range of geometric modelling issues to show the problem scope and the technological importance. Researchers interested in the current status of geometric modelling research and developments will find this volume to be an essential reference.


Two Dimensional Geometric Model

Two Dimensional Geometric Model
Author: Fouad Sabry
Publisher: One Billion Knowledgeable
Total Pages: 121
Release: 2024-05-05
Genre: Computers
ISBN:

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What is Two Dimensional Geometric Model A 2D geometric model is a geometric model of an object as a two-dimensional figure, usually on the Euclidean or Cartesian plane. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: 2D geometric model Chapter 2: Dimension Chapter 3: Euclidean geometry Chapter 4: Topology Chapter 5: Vector graphics Chapter 6: 2D computer graphics Chapter 7: Geometric primitive Chapter 8: Discrete geometry Chapter 9: Constructive solid geometry Chapter 10: Geometric modeling (II) Answering the public top questions about two dimensional geometric model. (III) Real world examples for the usage of two dimensional geometric model in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Two Dimensional Geometric Model.


Geometric Modeling and Processing - GMP 2006

Geometric Modeling and Processing - GMP 2006
Author: Myung-Soo Kim
Publisher: Springer Science & Business Media
Total Pages: 709
Release: 2006-07-11
Genre: Computers
ISBN: 354036711X

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This book constitutes the refereed proceedings of the 4th International Conference on Geometric Modeling and Processing, GMP 2006, held in Pittsburgh, PA, USA in July 2006. The 36 revised full papers and 21 revised short papers presented were carefully reviewed and selected from a total of 84 submissions. All current issues in the area of geometric modeling and processing are addressed and the impact in such areas as computer graphics, computer vision, machining, robotics, and scientific visualization is shown. The papers are organized in topical sections on shape reconstruction, curves and surfaces, geometric processing, shape deformation, shape description, shape recognition, geometric modeling, subdivision surfaces, and engineering applications.


Geometric Modeling

Geometric Modeling
Author: Hans Hagen
Publisher: Springer Science & Business Media
Total Pages: 291
Release: 2012-12-06
Genre: Computers
ISBN: 3642764045

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This book is based on lectures presented at an international workshop on geometric modeling held at Hewlett Packard GmbH in Boblingen, FRG, in June 1990. International experts from academia and industry were selected to speak on the most interesting topics in geometric modeling. The resulting papers, published in this volume, give a state-of-the-art survey of the relevant problems and issues. The following topics are discussed: - Methods for constructing surfaces on surfaces: four different solutions to the multidimen sional problem of constructing an interpolant from surface data are provided. - Surfaces in solid modeling: current results on the implementation of free-fonn solids in three well established solid models are reviewed. - Box splines and applications: an introduction to box spline methods for the representation of surfaces is given. Basic properties of box splines are derived, and refinement and evaluation methods for box splines are presented in detail. Shape preserving properties, the construction of non-rectangular box spline surfaces, applications to surface modeling, and imbedding problems, are discussed. - Advanced computer graphics techniques for volume visualization: the steps to be executed in the visualization process of volume data are described and tools are discussed that assist in handling this data. - Rational B-splines: an introduction to the representation of curves and surfaces using rational B-splines is given, together with a critical evaluation of their potential for industrial application.


Learning Autodesk Inventor 2014

Learning Autodesk Inventor 2014
Author: Randy Shih
Publisher: SDC Publications
Total Pages: 487
Release: 2013-05-30
Genre: Computers
ISBN: 1585037966

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This book will teach you everything you need to know to start using Autodesk Inventor 2014 with easy to understand, step-by-step tutorials. This book features a simple robot design used as a project throughout the book. You will learn to model parts, create assemblies, run simulations and even create animations of your robot design. An unassembled version of the same robot used throughout the book can be bundled with the book. No previous experience with Computer Aided Drafting (CAD) is needed since this book starts at an introductory level. The author begins by getting you familiar with the Inventor interface and its basic tools. You will start by learning to model simple robot parts and before long you will graduate to creating more complex parts and multi-view drawings. Along the way you will learn the fundamentals of parametric modeling through the use of geometric constraints and relationships. You will also become familiar with many of Inventor's powerful tools and commands that enable you to easily construct complex features in your models. Also included is coverage of gears, gear trains and spur gear creation using Autodesk Inventor. This book continues by examining the different mechanisms commonly used in walking robots. You will learn the basic types of planar four-bar linkages commonly used in mechanical designs and how to use the GeoGebra Dynamic Geometry software to simulate and analyze 2D linkages. Using the knowledge you gained about linkages and mechanism, you will learn how to modify your robot and change its behavior by modifying or creating new parts. In the final chapter of this book you learn how to combine all the robot parts into assemblies and then run motion analysis. You will finish off your project by creating 3D animations of your robot in action. There are many books that show you how to perform individual tasks with Autodesk Inventor, but this book takes you through an entire project and shows you the complete engineering process. By the end of this book you will have modeled and assembled nearly all the parts that make up the TAMIYA® Mechanical Tiger and can start building your own robot.


Learning Autodesk Inventor 2013

Learning Autodesk Inventor 2013
Author: Randy Shih
Publisher: SDC Publications
Total Pages: 487
Release: 2012-06-04
Genre: Computers
ISBN: 1585037273

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Everything you need to know to start using Autodesk Inventor 2013. The book features a simple robot design used as a project throughout the book. It teaches how to model parts, create assemblies, run simulations and even create animations of your robot design.


Geometric Modeling for Product Engineering

Geometric Modeling for Product Engineering
Author: Michael J. Wozny
Publisher: North Holland
Total Pages: 516
Release: 1990
Genre: Computers
ISBN:

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The papers in this collection provide an insight into current research issues and directions in geometric modeling. Like many other fields in the past, geometric modeling is making the transition from the empirical stage to a maturity based on formal theories and procedures. The data structures and algorithms are also being treated on a more rigorous basis, using the formal procedures of computer science. Until recently, researchers were concerned more with modeling the basic geometry and topology of individual parts. However, as in this volume, attention is now focused upon the specification of a complete engineering model of a product. Emphasis is given to the role of features, and to the modeling of assemblies, tolerances, and processes. Constraints, parametric design and variational geometry have all become important. Non-manifold topology has become essential for the representation of adjacency information.


From Geometric Modeling to Shape Modeling

From Geometric Modeling to Shape Modeling
Author: Umberto Cugini
Publisher: Springer
Total Pages: 241
Release: 2013-03-14
Genre: Computers
ISBN: 0387354956

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IFIP Working Group 5.2 has organized a series of workshops aimed at presenting and discussing current issues and future perspectives of Geometric Modeling in the CAD environment. From Geometric Modeling to Shape Modeling comprises the proceedings of the seventh GEO workshop, which was sponsored by the International Federation for Information Processing (IFIP) and held in Parma, Italy in October 2000. The workshop looked at new paradigms for CAD including the evolution of geometric-centric CAD systems, modeling of non-rigid materials, shape modeling, geometric modeling and virtual prototyping, and new methods of interaction with geometric models. The seventeen included papers provide an interesting overview of the evolution of geometric centric modeling into shape modeling. Also included is an invited speaker paper, which discusses the foundation of the next generation of CAD systems, where shape and function enhance geometric descriptions. The main topics discussed in the book are: Theoretical foundation for solids and surfaces; Computational basis for geometric modeling; Methods of interaction with geometric models; Industrial and other applications of geometric modeling; New paradigms of geometric modeling for CAD; Shape modeling. From Geometric Modeling to Shape Modeling is essential reading for researchers, graduate and postgraduate students, systems developers of advanced computer-aided design and manufacturing systems, and engineers involved in industrial applications.