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Shape Interrogation for Computer Aided Design and Manufacturing

Shape Interrogation for Computer Aided Design and Manufacturing
Author: Nicholas M. Patrikalakis
Publisher: Springer Science & Business Media
Total Pages: 428
Release: 2002-02-14
Genre: Computers
ISBN: 9783540424543

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Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. The authors focus on shape interrogation of geometric models bounded by free-form surfaces. Free-form surfaces, also called sculptured surfaces, are widely used in the bodies of ships, automobiles and aircraft, which have both functionality and attractive shape requirements. Many electronic devices as well as consumer products are designed with aesthetic shapes, which involve free-form surfaces. This book provides the mathematical fundamentals as well as algorithms for various shape interrogation methods including nonlinear polynomial solvers, intersection problems, differential geometry of intersection curves, distance functions, curve and surface interrogation, umbilics and lines of curvature, geodesics, and offset curves and surfaces. This book will be of interest both to graduate students and professionals.


Shape Interrogation for Computer Aided Design and Manufacturing

Shape Interrogation for Computer Aided Design and Manufacturing
Author: Nicholas M. Patrikalakis
Publisher: Springer Science & Business Media
Total Pages: 420
Release: 2009-11-27
Genre: Computers
ISBN: 3642040748

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Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. This book provides a bridge between the areas geometric modeling and solid modeling. Apart from the differential geometry topics covered, the entire book is based on the unifying concept of recasting all shape interrogation problems to the solution of a nonlinear system. It provides the mathematical fundamentals as well as algorithms for various shape interrogation methods including nonlinear polynomial solvers, intersection problems, differential geometry of intersection curves, distance functions, curve and surface interrogation, umbilics and lines of curvature, and geodesics.


Digital Fabrication in Architecture, Engineering and Construction

Digital Fabrication in Architecture, Engineering and Construction
Author: Luca Caneparo
Publisher: Springer Science & Business Media
Total Pages: 229
Release: 2013-10-02
Genre: Technology & Engineering
ISBN: 9400771371

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Digital technologies are changing the relationship between design and construction: with computer models, CAD/CAM, and prototyping, designers can gain direct control of building and construction processes. The ability to digitally model designs, and thus to use those models directly in the context of production, creates a synthesis between design and construction in keeping with the tradition of the close relationship between design and craftsmanship, between the quality of the design and the rules of the craft. The evolution of the culture of design and construction is the underlying theme of this book. The aim is to discuss the direction that innovation is now taking, with a particular focus on today’s cutting-edge architectures. The method addresses the ways in which different societies have dealt with the issues of their age regarding design and construction, the different contributions provided by various techniques, and with them the meanings expressed by the architecture. As building design using digital tools requires specific skills in the fabrication processes and in the languages used by information technology, the book also offers a practical guide to new methods and techniques of managing and controlling fabrication for AEC. A systematic analysis of new skills used in the design process presents an overview of opportunities for architects and engineers. By collecting information on significant projects and analyzing them, the book explores the technical and artistic potential of digital technology. The cases studied are the outcomes of groundbreaking projects which were able to give form and significance to technological research. They show that digital tools are not the exclusive prerogative of large firms but can also be adopted by teams working across small and medium-sized firms – firms which have been able to use informed research to link innovative design with the possibilities offered by digital fabrication in architecture.


Implicit Objects in Computer Graphics

Implicit Objects in Computer Graphics
Author: Luiz Velho
Publisher: Springer Science & Business Media
Total Pages: 203
Release: 2007-05-08
Genre: Computers
ISBN: 0387216200

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Implicit definition and description of geometric objects and surfaces plays a critical role in the appearance and manipulation of computer graphics. In addition, the mathematical definition of shapes, using an implicit form, has pivotal applications for geometric modeling, visualization and animation. Until recently, the parametric form has been by far the most popular geometric representation used in computer graphics and computer-aided design. Whereas parametric objects and the techniques associated with them have been exhaustively developed, the implicit form has been used as a complementary geometric representation, mainly in the restricted context of specific applications. However, recent developments in graphics are changing this situation, and the community is beginning to draw its attention to implicit objects. This is reflected in the current research of aspects related to this subject. Employing a coherent conceptual framework, Implicit Objects in Computer Graphics addresses the role of implicitly defined objects in the following parts: mathematical foundations of geometric models, implicit formulations for the specification of shapes, implicit primitives, techniques for constructing and manipulating implicit objects, modeling, rendering and animating implicit objects.


Geometric Modelling

Geometric Modelling
Author: Fumihiko Kimura
Publisher: Springer Science & Business Media
Total Pages: 388
Release: 2001-10-31
Genre: Computers
ISBN: 9780792375388

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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.


Curves and Surfaces

Curves and Surfaces
Author: Jean-Daniel Boissonnat
Publisher: Springer
Total Pages: 758
Release: 2012-01-06
Genre: Computers
ISBN: 3642274137

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This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Curves and Surfaces, held in Avignon, in June 2010. The conference had the overall theme: "Representation and Approximation of Curves and Surfaces and Applications". The 39 revised full papers presented together with 9 invited talks were carefully reviewed and selected from 114 talks presented at the conference. The topics addressed by the papers range from mathematical foundations to practical implementation on modern graphics processing units and address a wide area of topics such as computer-aided geometric design, computer graphics and visualisation, computational geometry and topology, geometry processing, image and signal processing, interpolation and smoothing, scattered data processing and learning theory and subdivision, wavelets and multi-resolution methods.


Shape Analysis and Structuring

Shape Analysis and Structuring
Author: Leila de Floriani
Publisher: Springer Science & Business Media
Total Pages: 305
Release: 2007-12-24
Genre: Mathematics
ISBN: 3540332650

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With a lot of recent developments in the field, this much-needed book has come at just the right time. It covers a variety of topics related to preserving and enhancing shape information at a geometric level. The contributors also cover subjects that are relevant to effectively capturing the structure of a shape by identifying relevant shape components and their mutual relationships.


Mapping in the Age of Digital Media

Mapping in the Age of Digital Media
Author: Diana Balmori
Publisher: Academy Press
Total Pages: 152
Release: 2003-06-23
Genre: Architecture
ISBN:

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Digital mapping techniques have altered profoundly the ways we measure and represent space. Combining the insights of designers, theorists, engineers and artists, this volume examines these and related issues, providing an examination of emerging cartographic practices (such as MRI and 3D scanning technology) in the digital age.


Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms

Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms
Author: Abel Gomes
Publisher: Springer Science & Business Media
Total Pages: 351
Release: 2009-05-12
Genre: Computers
ISBN: 1848824068

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Implicit objects have gained increasing importance in geometric modeling, visualisation, animation, and computer graphics, because their geometric properties provide a good alternative to traditional parametric objects. This book presents the mathematics, computational methods and data structures, as well as the algorithms needed to render implicit curves and surfaces, and shows how implicit objects can easily describe smooth, intricate, and articulatable shapes, and hence why they are being increasingly used in graphical applications. Divided into two parts, the first introduces the mathematics of implicit curves and surfaces, as well as the data structures suited to store their sampled or discrete approximations, and the second deals with different computational methods for sampling implicit curves and surfaces, with particular reference to how these are applied to functions in 2D and 3D spaces.