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Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms - Softcover

 
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Synopsis

In presenting the mathematics, computational methods and data structures, as well as the algorithms needed to render implicit curves and surfaces, the authors show how implicit objects can easily describe smooth, intricate, and shapes that articulate.

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From the Back Cover

Implicit techniques are a powerful tool that make it easier to describe smooth, intricate, and articulatable shapes via blending and solid geometry, and are becoming the technique of choice in an increasing number of graphics applications.

The mathematics, computational methods and data structures, as well as the algorithms required to render implicit curves and surfaces form the central theme of this book. The increasing importance of implicit objects in geometric modelling stems from the advantages these give over traditional modelling methods; the use of implicit techniques can help simplify complex actions such as point membership classification, which enables the detection of collisions in virtual environments and computer game scenarios.

Graduate students, researchers and developers in computer graphics, geometric modelling, virtual reality and computer games will find this an excellent resource and reference source for modelling and rendering complex geometric objects. The book can also be used as a core textbook for graduate level courses on implicit geometric modelling.

Review

From the reviews:

“The book does contain many algorithm examples and ... graphics examples, as well as a scattering of data structures but it would have benefited greatly from a chapter devoted entirely to graphics programming. ... A computer graphics specialist who needs to learn how to actually implement the various algorithms would need to look elsewhere. ... This book would be ideal as an introduction to the field for a beginning researcher, or for a graphics specialist who wants ... introductory information on a particular algorithm.” (Alasdair McAndrew, ACM Computing Reviews, December, 2009)

“The book consist of eleven chapters organized in four parts and can be seen as a self-contained tool for graduate students, researchers, and interested practitioners from industry, regarding the usage of implicit curves and surfaces for computer graphics, geometric modelling, computer games etc. ... The book ends with a rich reference section containing more than 400 papers, enforcing the idea that this work represents a valuable source for the reader.” (Mirel Cosulschi, Zentralblatt MATH, Vol. 1190, 2010)

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  • PublisherSpringer
  • Publication date2014
  • ISBN 10 1447158776
  • ISBN 13 9781447158776
  • BindingPaperback
  • LanguageEnglish
  • Number of pages365

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ISBN 10:  184882405X ISBN 13:  9781848824058
Publisher: Springer, 2009
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Gomes, Abel; Voiculescu, Irina; Jorge, Joaquim; Wyvill, Brian; Galbraith, Callum
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 368 pp. Englisch. Seller Inventory # 9781447158776

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9781447158776

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First book to provide a general framework for both implicit curves and surfaces including their mathematical foundations, data structures, computational methods and algorithms Includes both static and dynamic classes of implicit surfaces. Seller Inventory # 11465347

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