1. Mathematical fundamentals of computer graphics
2. Representation and modelling of 3D objects (1)
3. Representation and modelling of 3D objects (2)
4. Representation and rendering
5. The graphics pipeline (1) geometric operations
6. The graphics pipeline (2) rendering or algorithmic processes
7. Simulating light-object interaction: local reflection models
8. Mapping techniques
9. Geometric shadows
10. Global illumination
11. The radiosity method
12. Ray tracing strategies
13. Volume rendering
14. Anti-aliasing theory and practice
15. Colour and computer graphics
16. Image-based rendering and photo-modelling
17. Computer animation
18. Comparative image study

This book introduces the fundamentals of 2-D and 3-D computer graphics. Additionally, a range of emerging, creative 3-D display technologies are described, including stereoscopic systems, immersive virtual reality, volumetric, varifocal, and others.

As the field of computer graphics develops, techniques for modeling complex curves and surfaces are increasingly important. A major technique is the use of parametric splines in which a curve is defined by piecing together a succession of curve segments, and surfaces are defined by stitching together a mosaic of surface patches.

An Introduction to Splines for Use in Computer Graphics and Geometric Modeling discusses the use of splines from the point of view of the computer scientist. Assuming only a background in beginning calculus, the authors present the material using many examples and illustrations with the goal of building the reader's intuition. Based on courses given at the University of California, Berkeley, and the University of Waterloo, as well as numerous ACM Siggraph tutorials, the book includes the most recent advances in computer-aided geometric modeling and design to make spline modeling techniques generally accessible to the computer graphics and geometric modeling communities.

Focussing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD).

I. BASICS.

II. APPLICATIONS.

Computer Graphics for Artists: an introduction is an application-independent, reader-friendly primer for anyone with a serious desire to understand 3D Computer Graphics

Opening with the first and most basic elements of computer graphics,,

CONTENTS

     1.1 What is Computer Graphics?

     1.2 Where Computer Generated pictures are Used

     1.3 Elements of Pictures created in Computer Graphics.

     1.4 Graphics display devices

1.5 Graphics Input Primitives and Devices

     1.6. Chapter Summary & Exercises

     1.7. For Further Reading.

2.1 Getting started making pictures

     2.2 Drawing Basic Graphics Primitives

     2.3 Making Line-drawings

     2.4 Simple interaction with mouse and keyboard

     2.5. Summary

     2.6. Case Studies

     2.7. For Further Reading.

     3.1. Introduction

     3.2. World Windows and Viewports

     3.3. Clipping Lines

     3.4. Regular Polygons, Circles, and Arcs

     3.5. The Parametric Form of a Curve.

     3.6. Summary.

     3.7. Case Studies

     3.8. For Further Reading.

     4.1. Introduction

     4.2. Review of Vectors

     4.3. The Dot Product.

4.4. The Cross Product of Two Vectors.

4.5. Representations of Key Geometric Objects.

4.6. Finding the Intersection of two Line Segments.

4.7. Intersections of Lines with Planes, and Clipping.

4.8. Polygon Intersection Problems.

4.9. Summary.

4.10. Case Studies

     4.11. For Further Reading.

5.1. Introduction

5.2. Introduction to Transformations

5.3. 3D Affine Transformations

5.4. How To Change Coordinate Systems

5.5. Affine Transformations used in a Program.

5.6. To Draw 3D Scenes Interactively with OpenGL.

5.7. Summary.

5.8. Case Studies.

5.9. For Further Reading.

6.1. Introduction

6.2. Introduction to Solid Modeling with Polygonal Meshes.

     6.3. Polyhedra.

     6.4. Extruded Shapes.

     6.5. Mesh Approximations to Smooth Objects.

6.6. Particle Systems and Physically Based Systems

6.7. Summary.

6.8. Case Studies.

6.9. For Further Reading.

     7.1 Introduction

     7.2. The Camera Revisited.

     7.3. To Specify a Camera in a program. 

     7.4. Perspective Projections of 3D Objects.

     7.5. To Produce Stereo Views.

     7.6. Taxonomy of Projections.

     7.7. Summary

     7.8. Case Studies

     7.9. For Further Reading.

     8.1. Introduction

8.2. Introduction to Shading Models

8.3. Flat Shading and Smooth Shading.

8.4. Adding Hidden Surface Removal.

8.5. To Add Texture to Faces.

8.6. To Add Shadows of Objects.

8.7. OpenGL 2.0 & The Shading Language (GLSL)

8.8. Summary.

8.9. Case Studies

8.10. For Further Reading.

9.1. Introduction

9.2. Manipulating Pixmaps.

9.3. Combining Pixmaps.

9.4. Do It Yourself Line Drawing: Bresenham’s Algorithm.

9.5 To Define and Fill Regions of Pixels.

9.6. Manipulating Symbolically-defined Regions.

9.7. Filling Polygon-Defined Regions.

9.8. Aliasing and Anti-Aliasing Techniques.

9.9. Creating More Shades and Colors.

9.10. Summary.

9.11. Case Studies.

9.12. Further Reading

10.1. Introduction

10.2. Describing Curves using Polynomials.

10.3. On Interactive Curve Design.

10.4. Bezier Curves for Curve Design.

10.5. Properties of Bezier Curves.

10.6. Finding Better Blending functions.

10.7. The B-Spline Basis Functions.

10.8. Useful Properties of B-Spline Curves for Design.

10.9. Rational Splines and NURBS Curves.

10.10. A Glimpse at Interpolation.

10.11. Modeling Curved Surfaces.

10.12. Summary

10.13. Case Studies.

10.14. Further Reading.

11.1. Introduction

11.2. Color Description

11.3. The CIE Standard

11.4. Color Spaces

11.5. Indexed Color and the LUT.

11.6. Color Quantization.

11.7. Summary

11.8. Case Studies

11.9. For Further Reading.

12.1. Introduction

12.2. Setting Up the Geometry of Ray Tracing

12.3. Overview of the Ray-Tracing Process

12.4. Intersection of a Ray with an Object.

12.5. Organizing a Ray Tracer Application.

12.6. Intersecting Rays with Other Primitives

12.7. To Draw Shaded Pictures of Scenes

12.8. Adding Surface Texture.

12.9. Anti-aliasing Ray Tracings.

12.10. Using Extents

12.11. Adding Shadows for Greater Realism.

12.12. Reflections and Transparency

12.13. Compound Objects: Boolean Operations on Objects

12.14. Ray Tracing vs. Ray Casting

12.15. Summary.

12.16. Case Studies.

12.17. For Further Reading

A2.1 Some Key Definitions for Matrices and their Operations

A2.2. Some Properties of Vectors and their operations.

A2.3. Spherical Coordinates and Direction Cosines.

A3.1. Syntax of SDL

A3.2. Macros in SDL.

A3.3. Extending SDL.

A4.1. Introduction

A4.2. Fractals and Self-Similarity

A4.3. The Mandelbrot Set

A5.1. To Develop moveRel() and lineRel().

A5.2. Turtle Graphics

A5.3. Figures Based on Regular Polygons.

References

Index