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Theory and Practice of Geometric Modeling

Theory and Practice of Geometric Modeling
Author: Wolfgang Straßer
Publisher: Springer Science & Business Media
Total Pages: 534
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 3642615422

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This book is a result of the lectures and discussions during the conference "Theory and Practice of Geometric Modeling". The event has been organized by the Wilhelm-Schickard-Institut fiir Informatik, Universitat Tiibingen and took place at the Heinrich-Fabri-Institut in Blaubeuren from October 3 to 7, 1988. The conference brought together leading experts from academic and industrial research institutions, CAD system developers and experien ced users to exchange their ideas and to discuss new concepts and future directions in geometric modeling. The main intention has been to bridge the gap between theoretical results, performance of existing CAD systems and the real problems of users. The contents is structured in five parts: A Algorithmic Aspects B Surface Intersection, Blending, Ray Tracing C Geometric Tools D Different Representation Schemes in Solid Modeling E Product Modeling in High Level Specifications The material presented in this book reflects the current state of the art in geometric modeling and should therefore be of interest not only to university and industry researchers, but also to system developers and practitioners who wish to keep up to date on recent advances and new concepts in this rapidly expanding field. The editors express their sincere appreciation to the contributing authors, and to the members of the program committee, W. Boehm, J. Hoschek, A. Massabo, H. Nowacki, M. Pratt, J. Rossignac, T. Sederberg and W. Tiller, for their close cooperation and their time and effort that made the conference and this book a success.


Geometric Modeling

Geometric Modeling
Author: Wolfgang Strasser
Publisher:
Total Pages: 448
Release: 1997-10-01
Genre:
ISBN: 9783642606083

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Geometric Modeling: Theory and Practice

Geometric Modeling: Theory and Practice
Author: Wolfgang Strasser
Publisher: Springer
Total Pages: 456
Release: 1997-10
Genre: Computers
ISBN:

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The state of the art of geometric modeling is described and discussed in this volume, based on the international conference held in Blaubeuren, Germany, in October 1996. The contributions cover the most relevant topics in the field at an advanced level and are authored by leading experts from universities, CAD system vendors, and users of geometric modelers. The book is organized into parts dealing with: mathematical tools for geometric modeling, including variational design, particle systems, and interpolation and approximation methods; representations in solid modeling and conversion problems; requirements to be met by a modeler for the automotive industry; and applications like automated assembly. The readability and clarity of the text is supported by fine illustrations.


Geometric Modeling: Theory and Practice

Geometric Modeling: Theory and Practice
Author: Wolfgang Straßer
Publisher: Springer Science & Business Media
Total Pages: 441
Release: 2012-12-06
Genre: Computers
ISBN: 3642606075

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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.


Handbook of Conceptual Modeling

Handbook of Conceptual Modeling
Author: David W. Embley
Publisher: Springer Science & Business Media
Total Pages: 597
Release: 2012-04-23
Genre: Computers
ISBN: 364215865X

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Conceptual modeling is about describing the semantics of software applications at a high level of abstraction in terms of structure, behavior, and user interaction. Embley and Thalheim start with a manifesto stating that the dream of developing information systems strictly by conceptual modeling – as expressed in the phrase “the model is the code” – is becoming reality. The subsequent contributions written by leading researchers in the field support the manifesto's assertions, showing not only how to abstractly model complex information systems but also how to formalize abstract specifications in ways that let developers complete programming tasks within the conceptual model itself. They are grouped into sections on programming with conceptual models, structure modeling, process modeling, user interface modeling, and special challenge areas such as conceptual geometric modeling, information integration, and biological conceptual modeling. The Handbook of Conceptual Modeling collects in a single volume many of the best conceptual-modeling ideas, techniques, and practices as well as the challenges that drive research in the field. Thus it is much more than a traditional handbook for advanced professionals, as it also provides both a firm foundation for the field of conceptual modeling, and points researchers and graduate students towards interesting challenges and paths for how to contribute to this fundamental field of computer science.


Algebraic Geometry and Geometric Modeling

Algebraic Geometry and Geometric Modeling
Author: Mohamed Elkadi
Publisher: Springer Science & Business Media
Total Pages: 252
Release: 2006-11-02
Genre: Mathematics
ISBN: 3540332758

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This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.


Algebraic Geometry and Geometric Modeling

Algebraic Geometry and Geometric Modeling
Author: Mohamed Elkadi
Publisher: Springer
Total Pages: 0
Release: 2010-11-19
Genre: Mathematics
ISBN: 9783642069932

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This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.


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.


Statistical Optimization for Geometric Computation

Statistical Optimization for Geometric Computation
Author: Kenichi Kanatani
Publisher: Courier Corporation
Total Pages: 548
Release: 2005-07-26
Genre: Mathematics
ISBN: 0486443086

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This text for graduate students discusses the mathematical foundations of statistical inference for building three-dimensional models from image and sensor data that contain noise--a task involving autonomous robots guided by video cameras and sensors. The text employs a theoretical accuracy for the optimization procedure, which maximizes the reliability of estimations based on noise data. The numerous mathematical prerequisites for developing the theories are explained systematically in separate chapters. These methods range from linear algebra, optimization, and geometry to a detailed statistical theory of geometric patterns, fitting estimates, and model selection. In addition, examples drawn from both synthetic and real data demonstrate the insufficiencies of conventional procedures and the improvements in accuracy that result from the use of optimal methods.


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.