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Author: Michael J. Wozny Publisher: North Holland ISBN: Category : Computers Languages : en Pages : 516
Book Description
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.
Author: Michael J. Wozny Publisher: North Holland ISBN: Category : Computers Languages : en Pages : 516
Book Description
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.
Author: Michael E. Mortenson Publisher: ISBN: Category : Computers Languages : en Pages : 536
Book Description
Completely updated to include the most recent developments in the field, the third edition like the two previous editions, emphasizes clarity and thoroughness in the mathematical development of its subjects. It is written in a style that is free of jargon of special applications, while integrating the three important functions of geometric modeling: to represent elementary forms (curves, surfaces, and solids), to shape and assemble these into complex forms, and to determine geometric properties and relationships. With hundreds of illustrations, this unique book appeals to the readers visual and intuitive skills in a way that makes it easier to understand its more abstract concepts. Upper-division and graduate students, teachers, and professionals studying, teaching or practicing geometric modeling, 3D modeling, computational geometry, computer graphics applications, animation, CAD/CAM, and related subjects will find this to be a very valuable reference. Introduction. Curves. Hermite Curves. Bezier Curvers. B-Spline Curves. Surfaces. Bicubic Hermite Surfaces. Bezier Surfaces. B-Spline Surfaces. Solids. Complex Model Construction. Geometric Properties. Answers to Selected Exercises. Index.
Author: R. Albrecht Publisher: Springer Science & Business Media ISBN: 3709175844 Category : Computers Languages : en Pages : 360
Book Description
Experts from university and industry are presenting new technologies for solving industrial problems and giving many important and practicable impulses for new research. Topics explored include NURBS, product engineering, object oriented modelling, solid modelling, surface interrogation, feature modelling, variational design, scattered data algorithms, geometry processing, blending methods, smoothing and fairing algorithms, spline conversion. This collection of 24 articles gives a state-of-the-art survey of the relevant problems and issues in geometric modelling.
Author: Peter R. Wilson Publisher: North Holland ISBN: Category : Computers Languages : en Pages : 346
Book Description
State-of-the-art research and development in geometric and product modelling is reflected in this publication. The papers have been organized into five main topic areas - geometry, shape modelling, feature-based modelling, applications and data interfaces.
Author: Fumihiko Kimura Publisher: Springer ISBN: 0387354905 Category : Computers Languages : en Pages : 374
Book Description
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.
Author: Wolfgang Straßer Publisher: Springer Science & Business Media ISBN: 3642606075 Category : Computers Languages : en Pages : 441
Book Description
The Blaubeuren Conference "Theory and Practice of Geometric Modeling" has become a meeting place for leading experts from industrial and academic research institutions, CAD system developers and experienced users to exchange new ideas and to discuss new concepts and future directions in geometric modeling. The relaxed and calm atmosphere of the Heinrich-Fabri-Institute in Blaubeuren provides the appropriate environment for profound and engaged discussions that are not equally possible on other occasions. Real problems from current industrial projects as well as theoretical issues are addressed on a high scientific level. This book is the result of the lectures and discussions during the conference which took place from October 14th to 18th, 1996. The contents is structured in 4 parts: Mathematical Tools Representations Systems Automated Assembly. The editors express their sincere appreciation to the contributing authors, and to the members of the program committee for their cooperation, the careful reviewing and their active participation that made the conference and this book a success.
Author: Charlie C. L. Wang Publisher: Springer Science & Business Media ISBN: 1447143604 Category : Technology & Engineering Languages : en Pages : 231
Book Description
The recent trend in user-customized product design requires the shape of products to be automatically adjusted according to the human body’s shape, so that people will feel more comfortable when wearing these products. Geometric approaches can be used to design the freeform shape of products worn by people, which can greatly improve the efficiency of design processes in various industries involving customized products (e.g., garment design, toy design, jewel design, shoe design, and design of medical devices, etc.). These products are usually composed of very complex geometric shapes (represented by free-form surfaces), and are not driven by a parameter table but a digital human model with free-form shapes or part of human bodies (e.g., wrist, foot, and head models). Geometric Modeling and Reasoning of Human-Centered Freeform Products introduces the algorithms of human body reconstruction, freeform product modeling, constraining and reconstructing freeform products, and shape optimization for improving the manufacturability of freeform products. Based on these techniques, the design automation problem for human-centered freeform products can be fundamentally solved. Researchers and developers working on problems of automatic designing individually customized products can use this book as a reference, and it can also be used in courses in computer-aided product design at the graduate level.
Author: Vera B. Anand Publisher: Wiley ISBN: 9780471157311 Category : Computer graphics Languages : en Pages : 0
Book Description
This book is also available through the Introductory Engineering Custom Publishing System. If you are interested in creating a course-pack that includes chapters from this book, you can get further information by calling 212-850-6272 or sending email inquiries to engineer jwiley.com. Uses an engineering perspective to computer graphics. Covers geometric modeling principles to promote the mastery of both theory and application of computer graphics. Features outstanding coverage of curves and surfaces and data structures. Contains flow charts, CAD database descriptions and engineering application problems to facilitate understanding. Numerous photographs illustrate engineering-oriented computer graphics.
Author: Gerald Farin Publisher: Springer Science & Business Media ISBN: 3709164443 Category : Computers Languages : en Pages : 244
Book Description
19 papers presented by international experts give a state-of-the-art survey of the relevant problems and issues in modeling, CAD/CAM, scientific visualization, and computational geometry. The following topics are treated: • surface design and fairing • subdivision schemes • variational design • NURBS • reverse engineering • physically-based modelling • medical imaging
Author: Hans Hagen Publisher: Springer Science & Business Media ISBN: 3642764045 Category : Computers Languages : en Pages : 291
Book Description
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.
Author: Michael J. Wozny
Author: Michael J. Wozny
Author: Michael E. Mortenson
Author: R. Albrecht
Author: Peter R. Wilson
Author: Fumihiko Kimura
Author: Wolfgang Straßer
Author: Charlie C. L. Wang
Author: Vera B. Anand
Author: Gerald Farin
Author: Hans Hagen