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Implicit Objects in Computer Graphics

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  • © 2002

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Table of contents (18 chapters)

Keywords

About this book

Implicit definition and description of geometric objects and surfaces plays a critical role in the appearance and manipulation of computer graphics. In addition, the mathematical definition of shapes, using an implicit form, has pivotal applications for geometric modeling, visualization and animation.
Until recently, the parametric form has been by far the most popular geometric representation used in computer graphics and computer-aided design. Whereas parametric objects and the techniques associated with them have been exhaustively developed, the implicit form has been used as a complementary geometric representation, mainly in the restricted context of specific applications. However, recent developments in graphics are changing this situation, and the community is beginning to draw its attention to implicit objects. This is reflected in the current research of aspects related to this subject. Employing a coherent conceptual framework, Implicit Objects in Computer Graphics addresses the role of implicitly defined objects in the following parts: mathematical foundations of geometric models, implicit formulations for the specification of shapes, implicit primitives, techniques for constructing and manipulating implicit objects, modeling, rendering and animating implicit objects.

Authors and Affiliations

  • Instituto de Matematica Pura e Aplicada, Rio de Janeiro, Brazil

    Luiz Velho, Jonas Gomes, Luiz Henrique Figueiredo

Bibliographic Information

  • Book Title: Implicit Objects in Computer Graphics

  • Authors: Luiz Velho, Jonas Gomes, Luiz Henrique Figueiredo

  • DOI: https://doi.org/10.1007/b97350

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2002

  • Hardcover ISBN: 978-0-387-98424-7Published: 10 September 2002

  • Softcover ISBN: 978-1-4757-7738-3Published: 17 March 2013

  • eBook ISBN: 978-0-387-21620-1Published: 08 May 2007

  • Edition Number: 1

  • Number of Pages: XVIII, 190

  • Topics: Computer Applications, Computer Graphics, Image Processing and Computer Vision, Pattern Recognition

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