Mathematical Structures for Computer Graphics

Mathematical Structures for Computer Graphics

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Bibliographic Details
Online Access: Full text (MCPHS users only)
Main Author: Janke, Steven J.
Format: Electronic eBook
Language:English
Published: Newark : John Wiley & Sons, Incorporated, 2014
Series:New York Academy of Sciences Ser.
Subjects:
Electronic books.
Local Note:ProQuest Ebook Central
Table of Contents:
  • Cover
  • Title Page
  • Copyright
  • Dedication
  • Preface
  • Chapter 1: Basics
  • 1.1 Graphics Pipeline
  • 1.2 Mathematical Descriptions
  • 1.3 Position
  • 1.4 Distance
  • 1.5 Complements and Details
  • 1.6 Exercises
  • Chapter 2: Vector Algebra
  • 2.1 Basic Vector Characteristics
  • 2.2 Two Important Products
  • 2.3 Complements and Details
  • 2.4 Exercises
  • Chapter 3: Vector Geometry
  • 3.1 Lines and Planes
  • 3.2 Distances
  • 3.3 Angles
  • 3.4 Intersections
  • 3.5 Additional Key Applications
  • 3.6 Homogeneous Coordinates
  • 3.7 Complements and Details
  • 3.8 Exercises
  • Chapter 4: Transformations
  • 4.1 Types of Transformations
  • 4.2 Linear Transformations
  • 4.3 Three Dimensions
  • 4.4 Affine Transformations
  • 4.5 Complements and Details
  • 4.6 Exercises
  • Chapter 5: Orientation
  • 5.1 Cartesian Coordinate Systems
  • 5.2 Cameras
  • 5.3 Other Coordinate Systems
  • 5.4 Complements and Details
  • 5.5 Exercises
  • Chapter 6: Polygons and Polyhedra
  • 6.1 Triangles
  • 6.2 Polygons
  • 6.3 Polyhedra
  • 6.4 Complements and Details
  • 6.5 Exercises
  • Chapter 7: Curves and Surfaces
  • 7.1 Curve Descriptions
  • 7.2 Bézier Curves
  • 7.3 B-splines
  • 7.4 Nurbs
  • 7.5 Surfaces
  • 7.6 Complements and Details
  • 7.7 Exercises
  • Chapter 8: Visibility
  • 8.1 Viewing
  • 8.2 Perspective Transformation
  • 8.3 Hidden Surfaces
  • 8.4 Ray Tracing
  • 8.5 Complements and Details
  • 8.6 Exercises
  • Chapter 9: Lighting
  • 9.1 Color Coordinates
  • 9.2 Elementary Lighting Models
  • 9.3 Global Illumination
  • 9.4 Textures
  • 9.5 Complements and Details
  • 9.6 Exercises
  • Chapter 10: Other Paradigms
  • 10.1 Pixels
  • 10.2 Noise
  • 10.3 L-Systems
  • 10.4 Exercises
  • Appendix A: Geometry and Trigonometry
  • A.1 Triangles
  • A.2 Angles
  • A.3 Trigonometric Functions
  • Appendix B: Linear Algebra
  • B.1 Systems of Linear Equations
  • B.2 Matrix Properties
  • B.3 Vector Spaces
  • References
  • Index
  • End User License Agreement

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