You're reading from Mathematics for Game Programming and Computer Graphics Explore the essential mathematics for creating, rendering, and manipulating 3D virtual environments

Product type Paperback

Published in Nov 2022

Publisher Packt

ISBN-13 9781801077330

Length 444 pages

Edition 1st Edition

Languages

Python

Tools

OpenGL

Concepts

Game Optimization

Author (1):

Penny de Byl

View More author details

Table of Contents (26) Chapters

Preface

1. Part 1 – Essential Tools

2. Chapter 1: Hello Graphics Window: You’re On Your Way FREE CHAPTER

3. Chapter 2: Let’s Start Drawing

4. Chapter 3: Line Plotting Pixel by Pixel

5. Chapter 4: Graphics and Game Engine Components

6. Chapter 5: Let’s Light It Up!

7. Chapter 6: Updating and Drawing the Graphics Environment

8. Chapter 7: Interactions with the Keyboard and Mouse for Dynamic Graphics Programs

9. Part 2 – Essential Trigonometry

10. Chapter 8: Reviewing Our Knowledge of Triangles

11. Chapter 9: Practicing Vector Essentials

12. Chapter 10: Getting Acquainted with Lines, Rays, and Normals

13. Chapter 11: Manipulating the Light and Texture of Triangles

14. Part 3 – Essential Transformations

15. Chapter 12: Mastering Affine Transformations

16. Chapter 13: Understanding the Importance of Matrices

17. Chapter 14: Working with Coordinate Spaces

18. Chapter 15: Navigating the View Space

19. Chapter 16: Rotating with Quaternions

20. Part 4 – Essential Rendering Techniques

21. Chapter 17: Vertex and Fragment Shading

22. Chapter 18: Customizing the Render Pipeline

23. Chapter 19: Rendering Visual Realism Like a Pro

24. Index

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Performing operations on matrices

All matrix manipulation occurs via a set of mathematical operations based on addition, subtraction, and multiplication. Because matrix operations use these familiar fundamentals of arithmetic, they are a relatively easy concept to grasp. In this section, you will explore each of these, beginning with addition, subtraction, and multiplication. However, when it comes to division, as you will soon experience, a whole new set of concepts are required. We will cover these toward the end of this section.

Go easy on yourself if you haven’t worked with matrices before and become overwhelmed with the content. They take a lot of practice to become comfortable with and you may not appreciate many of them until you get to apply them in your own graphics projects.

Let’s start with the very familiar and simple addition and subtraction operations.