Subdivision Surfaces

Subdivision Surfaces

Author: Jörg Peters

Publisher: Springer Science & Business Media

Published: 2008-08-24

Total Pages: 212

ISBN-13: 3540764062

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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 It contains both meanwhile classical results as well as brand-new, unpublished material, such as a new framework for constructing C^2-algorithms.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.


Introduction to the Mathematics of Subdivision Surfaces

Introduction to the Mathematics of Subdivision Surfaces

Author: Lars-Erik Andersson

Publisher: SIAM

Published: 2010-05-13

Total Pages: 372

ISBN-13: 0898716977

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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.


Subdivision Surfaces

Subdivision Surfaces

Author: Jörg Peters

Publisher: Springer Science & Business Media

Published: 2008-05-07

Total Pages: 212

ISBN-13: 3540764054

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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. 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.


Subdivision Surface Modeling Technology

Subdivision Surface Modeling Technology

Author: Wenhe Liao

Publisher: Springer

Published: 2017-10-11

Total Pages: 317

ISBN-13: 9811035156

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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.


Introduction to the Mathematics of Subdivision Surfaces

Introduction to the Mathematics of Subdivision Surfaces

Author: Lars-Erik Andersson

Publisher: SIAM

Published: 2010-01-01

Total Pages: 373

ISBN-13: 0898717612

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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.


Wavelet Subdivision Methods

Wavelet Subdivision Methods

Author: Charles Chui

Publisher: CRC Press

Published: 2010-08-23

Total Pages: 480

ISBN-13: 1439812160

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Prevalent in animation movies and interactive games, subdivision methods allow users to design and implement simple but efficient schemes for rendering curves and surfaces. Adding to the current subdivision toolbox, Wavelet Subdivision Methods: GEMS for Rendering Curves and Surfaces introduces geometry editing and manipulation schemes (GEMS) and co


Mathematical Methods for Curves and Surfaces

Mathematical Methods for Curves and Surfaces

Author: Morten Dæhlen

Publisher: Springer

Published: 2010-02-12

Total Pages: 453

ISBN-13: 3642116205

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This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008, held in Tønsberg, Norway, in June/July 2008. The 28 revised full papers presented were carefully reviewed and selected from 129 talks presented at the conference. The topics addressed by the papers range from mathematical analysis of various methods to practical implementation on modern graphics processing units.


Mathematics of Surfaces XI

Mathematics of Surfaces XI

Author: Ralph R. Martin

Publisher: Springer Science & Business Media

Published: 2005-08-25

Total Pages: 481

ISBN-13: 3540282254

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This book constitutes the refereed proceedings of the 11th IMA International Conference on the Mathematics of Surfaces, held in Loughborough, UK in September 2005. The 28 revised full papers presented were carefully reviewed and selected from numerous submissions. Among the topics addressed are Voronoi diagrams, linear systems, curvatures on meshes, approximate parameterization, condition numbers, pythagorean hodographs, artifacts in B-spline surfaces, Bézier surfaces of minimal energy, line subdivision, subdivision surfaces, level sets and symmetry, the topology of algebraic surfaces, embedding graphs in manifolds, recovery of 3D shape from shading, finding optimal feedrates for machining, and improving of range data.


The Mathematics of Surfaces IX

The Mathematics of Surfaces IX

Author: Roberto Cipolla

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 510

ISBN-13: 1447104951

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These proceedings collect the papers accepted for presentation at the bien nial IMA Conference on the Mathematics of Surfaces, held in the University of Cambridge, 4-7 September 2000. While there are many international con ferences in this fruitful borderland of mathematics, computer graphics and engineering, this is the oldest, the most frequent and the only one to concen trate on surfaces. Contributors to this volume come from twelve different countries in Eu rope, North America and Asia. Their contributions reflect the wide diversity of present-day applications which include modelling parts of the human body for medical purposes as well as the production of cars, aircraft and engineer ing components. Some applications involve design or construction of surfaces by interpolating or approximating data given at points or on curves. Others consider the problem of 'reverse engineering'-giving a mathematical descrip tion of an already constructed object. We are particularly grateful to Pamela Bye (at the Institue of Mathemat ics and its Applications) for help in making arrangements; Stephanie Harding and Karen Barker (at Springer Verlag, London) for publishing this volume and to Kwan-Yee Kenneth Wong (Cambridge) for his heroic help with com piling the proceedings and for dealing with numerous technicalities arising from large and numerous computer files. Following this Preface is a listing of the programme committee who with the help of their colleagues did much work in refereeing the papers for these proceedings.


Introducing Maya 8

Introducing Maya 8

Author: Dariush Derakhshani

Publisher: John Wiley & Sons

Published: 2007-01-03

Total Pages: 490

ISBN-13: 0470108266

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If you're just beginning to dive into the world of 3D, this is the book for you." ?Animation Magazine The Academy Award® winning Maya® 3D animation and effects software is the first choice of film and video artists, game developers, and 3D design professionals. Discover how to build, render, and animate your own digital models and scenes, and begin to develop professional-level Maya skills with the latest edition of this popular bestseller. Starting with the basics, the book builds from the ground up, combining straightforward text with practical examples that make it fun and easy to learn Maya's core features while introducing new Maya 8 elements such as improved polygon tools and enhanced rendering with mental ray. Clear-cut, engaging lessons let you experiment using the wealth of files provided on the CD-ROM. You'll also find an abundance of instructional and inspirational Maya creations in the full-color insert. The accompanying CD-ROMs images, movies, and scene files let you view material from the book right on your own computer. Tackle all-new rendering and dynamics tutorials and much more. The CD includes Maya Personal Learning Edition software.