3D Computer Graphics A Mathematical Introduction with OpenGL 1st Edition by Samuel R Buss ISBN 0521821037 9780521821032

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Product details:

ISBN 10: 0521821037 
ISBN 13: 9780521821032
Author: Samuel R Buss

This introduction to 3D computer graphics emphasizes fundamentals and the mathematics underlying computer graphics, while also covering programming techniques using OpenGL, a platform-independent graphics programming environment. The minimal prerequisites make it suitable for self-study or for use as an advanced undergraduate or introductory graduate text as the author leads step-by-step from the basics of transformations to advanced topics such as animations and kinematics. Accompanying software, including source code for a ray tracing software package, is available freely from the book’s web site.

3D Computer Graphics: A Mathematical Introduction with OpenGL 1st Table of contents:

Section 1: Introduction to 3D Graphics

1. Introduction to 3D Computer Graphics

   • What is 3D Graphics?
   • Applications of 3D Graphics
   • Overview of the Rendering Pipeline

2. Mathematics for 3D Graphics

   • Vectors and Scalars in 3D Space
   • Coordinate Systems and Coordinate Transformations
   • Matrix Operations and Their Role in Graphics

3. Introduction to OpenGL

   • Overview of OpenGL
   • Setting Up an OpenGL Development Environment
   • Basic OpenGL Functions and Usage

Section 2: Geometrical Foundations

4. Vectors and Points in 3D Space

   • Vector Operations: Addition, Subtraction, and Scalar Multiplication
   • Dot Product and Cross Product
   • Representation of Points and Vectors in 3D

5. Transformations in 3D Space

   • Translation, Scaling, and Rotation
   • Using Matrices for Transformations
   • Homogeneous Coordinates and Transformation Matrices

6. 3D Projections

   • Perspective Projection
   • Orthographic Projection
   • Projection Matrices and Their Use in OpenGL

Section 3: Rendering and Viewing

7. Viewing and Camera Models

   • Camera Coordinates and View Transformations
   • Setting Up a Camera in OpenGL
   • Field of View and Viewport Transformation

8. Lighting and Shading

   • Types of Lighting: Ambient, Diffuse, and Specular
   • The Phong Reflection Model
   • OpenGL Lighting Models and Shaders

9. Texturing in 3D Graphics

   • Basics of Texture Mapping
   • Mapping Textures to 3D Surfaces
   • Texture Coordinates and OpenGL Texture Functions

Section 4: Advanced Rendering Techniques

10. Modeling and Representation of 3D Objects

    • Parametric Curves and Surfaces
    • Mesh Representation and Polygonal Models
    • Constructing 3D Objects from Primitives

11. Hidden Surface Removal

    • Depth Buffer and Z-Buffer Techniques
    • Backface Culling and Clipping
    • Optimizing Rendering with Efficient Algorithms

12. Shading Techniques

    • Flat Shading, Gouraud Shading, and Phong Shading
    • Normal Mapping and Bump Mapping
    • Real-time Shading in OpenGL

Section 5: Animation and Special Effects

13. Animation Fundamentals

    • Keyframe Animation and Interpolation Techniques
    • Physics-Based Animation: Rigid Body and Particle Systems
    • Transforming and Animating 3D Objects

14. Special Effects in 3D Graphics

    • Fog, Shadows, and Reflection Techniques
    • Real-time Effects Using OpenGL
    • Post-processing Effects in 3D Rendering

15. Performance Optimization in 3D Graphics

    • Reducing Computation Time with Efficient Algorithms
    • Level of Detail (LOD) and Culling Techniques
    • Hardware Acceleration and OpenGL Optimization

Section 6: Practical OpenGL Applications

16. OpenGL Shading Language (GLSL)

    • Basics of GLSL and Shader Programming
    • Writing Vertex and Fragment Shaders
    • Integrating Shaders with OpenGL Code

17. Interactive Graphics and User Input

    • Handling Mouse and Keyboard Input
    • Creating Interactive 3D Environments
    • Event-driven Programming in OpenGL

18. Real-World Applications of 3D Graphics

    • Games, Simulations, and Virtual Reality
    • Medical and Scientific Visualization
    • 3D Graphics in Movies and Animation

Section 7: Conclusion and Future Directions

19. Challenges in 3D Graphics

    • Real-Time Rendering and Realistic Graphics
    • Handling Large-Scale Datasets
    • The Future of 3D Graphics: Ray Tracing, AI, and More

20. Further Reading and Resources

    • Recommended Textbooks, Research Papers, and Online Resources
    • Communities and Forums for 3D Graphics Enthusiasts

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