Implicit Objects in Computer Graphics

• Main Authors: Velho, Luiz (Author), Gomes, Jonas (Author), Figueiredo, Luiz Henrique de (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2002.
• Subjects: Computer science.; Computer graphics.; Image processing.; Pattern recognition.; Application software.; Computer Science.; Computer Applications.; Computer Graphics.; Image Processing and Computer Vision.; Pattern Recognition.

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 animatio...

Table of Contents:

• Manifolds
• Parametric and Implicit Manifolds
• Space Decompositions
• Shape and Space
• Implicit Objects
• Manipulating Implicit Objects
• Combining Implicit Objects
• Computational Methods
• Approximating Implicit Objects
• Primitive Implicit Objects
• Skeleton-Based Implicit Primitives
• 13. Multiscale Implicit Objects
• Modeling
• Visualization
• Animation
• n-dimensional Implicit Problems
• Conclusions.