Mathematics for Game Programming and Computer Graphics

Table of Contents

Preface xiii

Part 1 – Essential Tools

1

Hello Graphics Window: You’re On Your Way 3

Technical requirements4

Getting Started with Python, PyCharm, and Pygame5

Creating a Basic Graphics Window8

Working with Window and Cartesian Coordinates14

Let’s do it…15

Your Turn…19

Summary19

Answers20

2

Let’s Start Drawing 21

Technical requirements22

Color22

Let’s do it…23

Your turn…25

Lines25

Let’s do it…25

Your turn…26

Let’s do it…27

Text29

Let’s do it…31

Your turn…32

Polygons33

Let’s do it…34

Your turn…35

Raster Images35

Let’s do it…36

Summary38

Answers38

3

Line Plotting Pixel by Pixel 41

Technical requirements41

The Naïve Way: Drawing a line with brute force42

Let’s do it…43

Enter Bresenham: The improved approach45

Let’s do it…47