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Author: Jörg Peters
Publisher: Springer Science & Business Media
ISBN: 3540764062
Category : Mathematics
Languages : en
Pages : 212
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Book Description
Since their first appearance in 1974, subdivision algorithms for generating surfaces of arbitrary topology have gained widespread popularity in computer graphics and are being evaluated in engineering applications. This development was complemented by ongoing efforts to develop appropriate mathematical tools for a thorough analysis, and today, many of the fascinating properties of subdivision are well understood. This book summarizes the current knowledge on the subject. It contains both meanwhile classical results as well as brand-new, unpublished material, such as a new framework for constructing C^2-algorithms. The focus of the book is on the development of a comprehensive mathematical theory, and less on algorithmic aspects. It is intended to serve researchers and engineers - both new to the beauty of the subject - as well as experts, academic teachers and graduate students or, in short, anybody who is interested in the foundations of this flourishing branch of applied geometry.
Author: Jörg Peters
Publisher: Springer Science & Business Media
ISBN: 3540764062
Category : Mathematics
Languages : en
Pages : 212
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Book Description
Since their first appearance in 1974, subdivision algorithms for generating surfaces of arbitrary topology have gained widespread popularity in computer graphics and are being evaluated in engineering applications. This development was complemented by ongoing efforts to develop appropriate mathematical tools for a thorough analysis, and today, many of the fascinating properties of subdivision are well understood. This book summarizes the current knowledge on the subject. It contains both meanwhile classical results as well as brand-new, unpublished material, such as a new framework for constructing C^2-algorithms. The focus of the book is on the development of a comprehensive mathematical theory, and less on algorithmic aspects. It is intended to serve researchers and engineers - both new to the beauty of the subject - as well as experts, academic teachers and graduate students or, in short, anybody who is interested in the foundations of this flourishing branch of applied geometry.
Author: Lars-Erik Andersson
Publisher: SIAM
ISBN: 0898716977
Category : Mathematics
Languages : en
Pages : 372
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Book Description
This is an introduction to the mathematical theory which underlies subdivision surfaces, as it is used in computer graphics and animation. Subdivision surfaces enable a designer to specify the approximate form of a surface that defines an object and then to refine it to get a more useful or attractive version. A considerable amount of mathematical theory is needed to understand the characteristics of the resulting surfaces, and this book explains the material carefully and rigorously. The text is highly accessible, organising subdivision methods in a unique and unambiguous hierarchy which builds insight and understanding. The material is not restricted to questions related to regularity of subdivision surfaces at so-called extraordinary points, but gives a broad discussion of the various methods. It is therefore an excellent preparation for more advanced texts that delve more deeply into special questions of regularity.
Author: Lars-Erik Andersson
Publisher: SIAM
ISBN: 0898717612
Category : Mathematics
Languages : en
Pages : 373
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Book Description
This is an introduction to the mathematical theory which underlies subdivision surfaces, as it is used in computer graphics and animation. Subdivision surfaces enable a designer to specify the approximate form of a surface that defines an object and then to refine it to get a more useful or attractive version. A considerable amount of mathematical theory is needed to understand the characteristics of the resulting surfaces, and this book explains the material carefully and rigorously. The text is highly accessible, organising subdivision methods in a unique and unambiguous hierarchy which builds insight and understanding. The material is not restricted to questions related to regularity of subdivision surfaces at so-called extraordinary points, but gives a broad discussion of the various methods. It is therefore an excellent preparation for more advanced texts that delve more deeply into special questions of regularity.
Author: Wenhe Liao
Publisher: Springer
ISBN: 9811035156
Category : Computers
Languages : en
Pages : 317
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Book Description
This book offers a comprehensive introduction to Subdivision Surface Modeling Technology focusing not only on fundamental theories but also on practical applications. It furthers readers’ understanding of the contacts between spline surfaces and subdivision surfaces, enabling them to master the Subdivision Surface Modeling Technology for analyzing subdivision surfaces. Subdivision surface modeling is a popular technology in the field of computer aided design (CAD) and computer graphics (CG) thanks to its ability to model meshes of any topology. The book also discusses some typical Subdivision Surface Modeling Technologies, such as interpolation, fitting, fairing, intersection, as well as trimming and interactive editing. It is a valuable tool, enabling readers to grasp the main technologies of subdivision surface modeling and use them in software development, which in turn leads to a better understanding of CAD/CG software operations.
Author: Marie-Paule Cani
Publisher: Springer Nature
ISBN: 3031795342
Category : Mathematics
Languages : en
Pages : 81
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Book Description
Providing an intuitive modeling system, which would enable us to communicate about any free-form shape we have in mind at least as quickly as with real-world tools, is one of the main challenges of digital shape design. The user should ideally be able to create, deform, and progressively add details to a shape, without being aware of the underlying mathematical representation nor being tied by any constraint on the geometrical or topological nature of the model. This book presents the field of interactive shape design from this perspective. Since interactively creating a shape builds on the humans ability of modeling by gesture, we note that the recent advances in interactive shape design can be classified as those that rely on sculpting as opposed to sketching metaphors. Our synthetic presentation of these strategies enables us to compare the different families of solutions, discuss open issues, and identify directions for future research. Table of Contents: Introduction / Sculpting Metaphors / Sketching Systems / Future Directions: Modeling by Gesture
Author: Zuowei Shen
Publisher: World Scientific
ISBN: 9814474665
Category : Mathematics
Languages : en
Pages : 275
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Book Description
The explosion of data arising from rapid advances in communication, sensing and computational power has concentrated research effort on more advanced techniques for the representation, processing, analysis and interpretation of data sets. In view of these exciting developments, the program “Mathematics and Computation in Imaging Science and Information Processing” was held at the Institute for Mathematical Sciences, National University of Singapore, from July to December 2003 and in August 2004 to promote and facilitate multidisciplinary research in the area. As part of the program, a series of tutorial lectures were conducted by international experts on a wide variety of topics in mathematical image, signal and information processing.This compiled volume contains survey articles by the tutorial speakers, all specialists in their respective areas. They collectively provide graduate students and researchers new to the field a unique and valuable introduction to a range of important topics at the frontiers of current research.
Author: Osvaldo Gervasi
Publisher: Springer
ISBN: 3540340718
Category : Computers
Languages : en
Pages : 1272
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Book Description
The five-volume set LNCS 3980-3984 constitutes the refereed proceedings of the International Conference on Computational Science and Its Applications, ICCSA 2006. The volumes present a total of 664 papers organized according to the five major conference themes: computational methods, algorithms and applications high performance technical computing and networks advanced and emerging applications geometric modelling, graphics and visualization information systems and information technologies. This is Part I.
Author: Dariush Derakhshani
Publisher: John Wiley & Sons
ISBN: 111823846X
Category : Computers
Languages : en
Pages : 656
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Book Description
A complete update to the popular Autodesk Official Training Guide for Maya Maya is the industry-leading 3D animation and effects software used in movies, visual effects, games, cartoons, and other animation. This bestselling, official guide is a must for 3D beginners who want a thorough grounding in this dynamic and complex software. Fully updated for the newest version of Maya, the book explains the interface and the basics of modeling, texturing, animating, dynamics, visualization, and visual effects. Fun and challenging tutorials lead you through the nuances of the software and offer plenty of chances to practice what you've learned. The Autodesk Official Training Guide for Maya, endorsed and promoted by Autodesk to its 2,500 Authorized Training Centers worldwide Maya is the 3D animation and effects software used in the film, game, and advertising industries; it's a complex program and this book gives beginners the knowledge and confidence they need Shows how to master the interface and the basics of modeling, texturing, animating, and visual effects Step-by-step tutorials offer realistic, professional challenges for those new to 3D and those switching from another 3D application Materials are available for instructors who want to use this guide with their students Introducing Autodesk Maya is the perfect guide to get you up and running on the world's most popular professional 3D application.
Author: D. Ebert
Publisher: Springer Science & Business Media
ISBN: 3709162157
Category : Computers
Languages : en
Pages : 370
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Book Description
This book contains 33 papers presented at the Third Joint Visualization Symposium of the Eurographics Association and the Technical Committee on Visualization and Graphics of the IEEE Computer Society. The main topics treated are: visualization of geoscience data; multi-resolution and adaptive techniques; unstructured data, multi-scale and visibility; flow visualization; biomedical applications; information visualization; object representation; volume rendering; information visualization applications; and automotive applications.
Author: Dariush Derakhshani
Publisher: John Wiley & Sons
ISBN: 047027591X
Category : Computers
Languages : en
Pages : 626
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Book Description
The new edition of this perennial bestseller is the ideal initiation to 3D and Maya. Starting with the basics, it builds from the ground up, combining straightforward text with practical examples that make it fun and easy to learn Maya's core tools while introducing the latest Maya 2008 features. Follow clear-cut, step-by-step lessons while you learn by doing using a wealth of hands-on files provided on the CD. You'll also find compelling examples in the full-color insert.
