Implicit Objects in Computer Graphics
Title | Implicit Objects in Computer Graphics PDF eBook |
Author | Luiz Velho |
Publisher | Springer Science & Business Media |
Pages | 203 |
Release | 2007-05-08 |
Genre | Computers |
ISBN | 0387216200 |
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.
Implicit Objects in Computer Graphics
Title | Implicit Objects in Computer Graphics PDF eBook |
Author | Luiz Velho |
Publisher | |
Pages | 212 |
Release | 2014-01-15 |
Genre | |
ISBN | 9781475777376 |
Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms
Title | Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms PDF eBook |
Author | Abel Gomes |
Publisher | Springer Science & Business Media |
Pages | 351 |
Release | 2009-05-12 |
Genre | Computers |
ISBN | 1848824068 |
Implicit objects have gained increasing importance in geometric modeling, visualisation, animation, and computer graphics, because their geometric properties provide a good alternative to traditional parametric objects. This book presents the mathematics, computational methods and data structures, as well as the algorithms needed to render implicit curves and surfaces, and shows how implicit objects can easily describe smooth, intricate, and articulatable shapes, and hence why they are being increasingly used in graphical applications. Divided into two parts, the first introduces the mathematics of implicit curves and surfaces, as well as the data structures suited to store their sampled or discrete approximations, and the second deals with different computational methods for sampling implicit curves and surfaces, with particular reference to how these are applied to functions in 2D and 3D spaces.
Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms
Title | Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms PDF eBook |
Author | Abel Gomes |
Publisher | Springer |
Pages | 351 |
Release | 2009-08-29 |
Genre | Computers |
ISBN | 9781848824164 |
Implicit objects have gained increasing importance in geometric modeling, visualisation, animation, and computer graphics, because their geometric properties provide a good alternative to traditional parametric objects. This book presents the mathematics, computational methods and data structures, as well as the algorithms needed to render implicit curves and surfaces, and shows how implicit objects can easily describe smooth, intricate, and articulatable shapes, and hence why they are being increasingly used in graphical applications. Divided into two parts, the first introduces the mathematics of implicit curves and surfaces, as well as the data structures suited to store their sampled or discrete approximations, and the second deals with different computational methods for sampling implicit curves and surfaces, with particular reference to how these are applied to functions in 2D and 3D spaces.
Introduction to Implicit Surfaces
Title | Introduction to Implicit Surfaces PDF eBook |
Author | Jules Bloomenthal |
Publisher | Morgan Kaufmann |
Pages | 360 |
Release | 1997-08 |
Genre | Computers |
ISBN | 9781558602335 |
Implicit surfaces offer special effects animators, graphic designers, CAD engineers, graphics students, and hobbyists a new range of capabilities for the modeling of complex geometric objects. In contrast to traditional parametric surfaces, implicit surfaces can easily describe smooth, intricate, and articulatable shapes. These powerful yet easily understood surfaces are finding use in a growing number of graphics applications. This comprehensive introduction develops the fundamental concepts and techniques of implicit surface modeling, rendering, and animating in terms accessible to anyone with a basic background in computer graphics. + provides a thorough overview of implicit surfaces with a focus on their applications in graphics + explains the best methods for designing, representing, and visualizing implicit surfaces + surveys the latest research With contributions from seven graphics authorities, this innovative guide establishes implicit surfaces as a powerful and practical tool for animation and rendering.
Implicit Objects in Computer Graphics
Title | Implicit Objects in Computer Graphics PDF eBook |
Author | |
Publisher | |
Pages | 164 |
Release | 1969 |
Genre | Computer graphics |
ISBN |
Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms
Title | Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms PDF eBook |
Author | Abel Gomes |
Publisher | Springer |
Pages | 351 |
Release | 2009-05-15 |
Genre | Computers |
ISBN | 9781848824058 |
Implicit objects have gained increasing importance in geometric modeling, visualisation, animation, and computer graphics, because their geometric properties provide a good alternative to traditional parametric objects. This book presents the mathematics, computational methods and data structures, as well as the algorithms needed to render implicit curves and surfaces, and shows how implicit objects can easily describe smooth, intricate, and articulatable shapes, and hence why they are being increasingly used in graphical applications. Divided into two parts, the first introduces the mathematics of implicit curves and surfaces, as well as the data structures suited to store their sampled or discrete approximations, and the second deals with different computational methods for sampling implicit curves and surfaces, with particular reference to how these are applied to functions in 2D and 3D spaces.