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Implicit objects in computer graphics

Librairie Eyrolles - Paris 5e

Implicit objects in computer graphics

Implicit objects in computer graphics

Luiz Velho, Jonas Gomes, Luiz Henrique de Figueiredo

208 pages, parution le 17/10/2002


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
  1. Manifolds
  2. Parametric and implicit manifolds
  3. Space decompositions
  4. Shape and space
  5. Implicit objects
  6. Manipulating implicit objects
  7. Combining implicit objects
  8. Computational methods
  9. Approximating implicit objects
  10. Primitive implicit objects
  11. Skeleton-based implicit primitives
  12. Multiscale implicit objects
  13. Modeling
  14. Visualization
  15. Animation.
  16. 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

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


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