An integrated introduction to computer graphics and geometric modeling /

Bibliographic Details
Main Author:	Goldman, Ronald (Author)
Corporate Authors:	Taylor & Francis, Taylor and Francis
Format:	eBook
Language:	English
Published:	Boca Raton, FL : CRC Press, an imprint of Taylor and Francis, 2009.
Edition:	First edition.
Series:	Chapman & Hall/CRC computer graphics, geometric modeling, and animation series.
Subjects:	Computer graphics. Curves on surfaces > Mathematical models. Three-dimensional display systems. COMPUTERS / Programming / Algorithms. COMPUTERS > General. MATHEMATICS / General. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

part Part I: Two-Dimensional Computer Graphics: From Common Curves to Intricate Fractals
chapter 1 Turtle Graphics
chapter 2 Fractals from Recursive Turtle Programs
chapter 3 Some Strange Properties of Fractal Curves
chapter 4 Af?ne Transformations
chapter 5 Af?ne Geometry: A Connect-the-Dots Approach to Two-Dimensional Computer Graphics
chapter 6 Fractals from Iterated Function Systems
chapter 7 The Fixed-Point Theorem and Its Consequences
chapter 8 Recursive Turtle Programs and Conformal Iterated Function Systems
part Part II: Mathematical Methods for Three-Dimensional Computer Graphics
chapter 9 Vector Geometry: A Coordinate-Free Approach
chapter 10 Coordinate Algebra
chapter 11 Some Applications of Vector Geometry
chapter 12 Coordinate-Free Formulas for Af?ne and Projective Transformations
chapter 13 Matrix Representations for Af?ne and Projective Transformations
chapter 14 Projective Space versus the Universal Space of Mass-Points
chapter 15 Quaternions: Multiplication in the Space of Mass-Points
part Part III: Three-Dimensional Computer Graphics: Realistic Rendering
chapter 16 Color and Intensity
chapter 17 Recursive Ray Tracing
chapter 18 Surfaces I: The General Theory
chapter 19 Surfaces II: Simple Surfaces
chapter 20 Solid Modeling
chapter 21 Shading
chapter 22 Hidden Surface Algorithms
chapter 23 Radiosity
part Part IV: Geometric Modeling: Freedom Curves and Surfaces
chapter 24 Bezier Curves and Surfaces
chapter 25 Bezier Subdivision
chapter 26 Blossoming
chapter 27 B-Spline Curves and Surfaces
chapter 28 Knot Insertion Algorithms for B-Spline Curves and Surfaces
chapter 29 Subdivision Matrices and Iterated Function Systems
chapter 30 Subdivision Surfaces
chapter Further Readings.