Implicit objects in computer graphics

Luiz Velho, Jonas Gomes, Luiz Henrique de Figueiredo

208 pages, parution le 17/10/2002

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Résumé

The implicit description of geometric objects plays a critical role in computer graphics. The mathematical definition of shapes using an implicit form also has great importance for modeling, visualization, and animation problems.Implicit Objects in Computer Graphics employs a coherent conceptual framework to address the expanding role of implicitly defined objects, which increasingly draw attention for uses beyond a complementary representation. The book rigorously delves into the mathematical foundations of geometric models, implicit formulations for the specification of shapes, techniques for constructing implicit objects, and the modeling, rendering, and animation of implicit surfaces. In addition, it demonstrates how implicit models offer a powerful alternative to traditional parametric models in computer graphics and computer-aided design.Features:

Covers implicitly defined shapes, from modeling aspects to applications
Provides a broad analysis of the fundamental algorithms and ideas
Offers an integrated, up-to-date overview of the main developments in the area
Integrates theory and practice in a clearly organized and cohesive presentation
Explores key problems and challenges for the field

This unique monograph examines the implicit description of geometric shapes in computer graphics and related areas, such as modeling, visualization, and animation. Researchers, practitioners, and professionals in computer graphics, scientific visualization, CAD/CAM, and special effects will find the book an indispensable tool and resource. Contents

Manifolds
Parametric and implicit manifolds
Space decompositions
Shape and space
Implicit objects
Manipulating implicit objects
Combining implicit objects
Computational methods
Approximating implicit objects
Primitive implicit objects
Skeleton-based implicit primitives
Multiscale implicit objects
Modeling
Visualization
Animation.
n-dimensional implicit problems

L'auteur - Luiz Velho

Luiz Velho

works with Jonas Gomes at IMPA, also as a computer graphics researcher.

L'auteur - Jonas Gomes

Jonas Gomes

is a computer graphics researcher at the Institute of Pure and Applied Mathematics (IMPA).

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Luiz Velho, Jonas Gomes, Luiz Henrique de Figueiredo
Parution	17/10/2002
Nb. de pages	208
Format	16 x 24
Couverture	Relié
Poids	441g
Intérieur	Noir et Blanc
EAN13	9780387984247
ISBN13	978-0-387-98424-7