Implicit Objects In Computer Graphics
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| Author | : Luiz Velho |
| Publisher | : Springer Science & Business Media |
| Total 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.
| Author | : Luiz Velho |
| Publisher | : |
| Total Pages | : 212 |
| Release | : 2014-01-15 |
| Genre | : |
| ISBN | : 9781475777376 |
| Author | : Abel Gomes |
| Publisher | : Springer Science & Business Media |
| Total 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.
| Author | : Jules Bloomenthal |
| Publisher | : Morgan Kaufmann |
| Total 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.
| Author | : Abel Gomes |
| Publisher | : Springer |
| Total 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.
| Author | : Abel Gomes |
| Publisher | : Springer |
| Total 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.
| Author | : |
| Publisher | : |
| Total Pages | : 164 |
| Release | : 1969 |
| Genre | : Computer graphics |
| ISBN | : |
| Author | : Weidong Geng |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 368 |
| Release | : 2011-02-02 |
| Genre | : Computers |
| ISBN | : 3642048919 |
"The Algorithms and Principles of Non-photorealistic Graphics: Artistic Rendering and Cartoon Animation" provides a conceptual framework for and comprehensive and up-to-date coverage of research on non-photorealistic computer graphics including methodologies, algorithms and software tools dedicated to generating artistic and meaningful images and animations. This book mainly discusses how to create art from a blank canvas, how to convert the source images into pictures with the desired visual effects, how to generate artistic renditions from 3D models, how to synthesize expressive pictures from textual, graphical and pictorial data, and how to speed up the production of cartoon animation sequences with temporal coherence. It is intended for researchers and graduate students in the fields of computer graphics, digital media arts, and cartoon animation. Dr. Weidong Geng is a professor at the Department of Digital Media Technology and State Key Laboratory of Computer Aided Design and Computer Graphics, Zhejiang University, China.
| Author | : Jonas Gomes |
| Publisher | : CRC Press |
| Total Pages | : 554 |
| Release | : 2012-04-24 |
| Genre | : Computers |
| ISBN | : 1439865574 |
Computer Graphics: Theory and Practice provides a complete and integrated introduction to this area. The book only requires basic knowledge of calculus and linear algebra, making it an accessible introductory text for students. It focuses on conceptual aspects of computer graphics, covering fundamental mathematical theories and models and the inher
| Author | : Luiz Velho |
| Publisher | : Morgan Kaufmann |
| Total Pages | : 301 |
| Release | : 2011-08-09 |
| Genre | : Computers |
| ISBN | : 008087858X |
Mathematical optimization is used in nearly all computer graphics applications, from computer vision to animation. This book teaches readers the core set of techniques that every computer graphics professional should understand in order to envision and expand the boundaries of what is possible in their work. Study of this authoritative reference will help readers develop a very powerful tool- the ability to create and decipher mathematical models that can better realize solutions to even the toughest problems confronting computer graphics community today. Distills down a vast and complex world of information on optimization into one short, self-contained volume especially for computer graphics Helps CG professionals identify the best technique for solving particular problems quickly, by categorizing the most effective algorithms by application Keeps readers current by supplementing the focus on key, classic methods with special end-of-chapter sections on cutting-edge developments
