Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms

• Corporate Author: SpringerLink (Online service)
• Other Authors: Gomes, Abel J. P. (Editor), Voiculescu, Irina (Editor), Jorge, Joaquim (Editor), Wyvill, Brian (Editor), Galbraith, Callum (Editor)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2009.
• Subjects: Computer science.; Data structures (Computer science).; Numerical analysis.; Computer science > Mathematics.; Computer simulation.; Computer graphics.; Computer Science.; Simulation and Modeling.; Data Structures.; Numeric Computing.; Math Applications in Computer Science.; Symbolic and Algebraic Manipulation.; Computer Graphics.

Implicit techniques are a powerful tool that make it easier to describe smooth, intricate, and articulatable shapes via blending and solid geometry, and are becoming the technique of choice in an increasing number of graphics applications. The mathematics, computational methods and data structures,...

Table of Contents:

• Mathematics and Data Structures
• Mathematical Fundamentals
• Spatial Data Structures
• Sampling Methods
• Root Isolation Methods
• Interval Arithmetic
• Root-Finding Methods
• Reconstruction and Polygonisation
• Continuation Methods
• Spatial Partitioning Methods
• Implicit Surface Fitting
• Designing Complex Implicit Surface Models
• Skeletal Implicit Modelling Techniques
• Natural Phenomenae-I: Static Modelling
• Natural Phenomenae-II: Animation.