Implicit Objects In Computer Graphics 1st Edition Luiz Velho by Luiz Velho, Jonas Gomes, Luiz Henrique De Figueiredo (auth.) 9780387216201, 9780387984247, 0387216200, 0387984240 instant download after payment.

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 Graphicsaddresses the role of implicitly defined objects in thefollowing parts: mathematical foundations of geometricmodels, implicit formulations for the specification ofshapes, implicit primitives, techniques for constructing andmanipulating implicit objects, modeling, rendering andanimating implicit objects.