Implicit Objects in Computer Graphics

By: Luiz Velho, Jonas Gomes, Luiz H. de Figueiredo

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Hardcover | 10 September 2002

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212 Pages

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23.39 x 15.6 x 1.27

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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.

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Non-Fiction Computing & I.T.Graphical & Digital Media Applications Computer Science Artificial Intelligence Pattern Recognition Information Technology General Issue Databases Data Capture & Analysis Computer Vision Computer Programming & Software Development Graphics Programming

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Published: 17th March 2013

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Introduction
Manifolds
Parametric and implicit manifolds
Space decompositions
Shape and space
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
Conclusions
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Implicit Objects in Computer Graphics

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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