3D Computer Graphics Programming

37h 55m 2s
English
Paid
April 23, 2024

This course is a complete immersion into the fundamentals of computer graphics! You'll learn how a software 3D engine works under the hood, and use the C programming language to write a complete software rasterizer from scratch; including textures, camera, clipping, and loading complex OBJ files. Pixel per pixel, triangle per triangle, mesh per mesh.

More

We'll review all the beautiful math that makes 3D computer graphics possible as we tackle all concepts from first principles. We'll also write a comprehensive software renderer that can display complex 3D objects on the screen without the help of any graphics API. No GPU, no OpenGL, no DirectX! Just a C compiler and a little bit of linear algebra is all we need to create a final project that is nothing short of amazing!

The tools you'll need

We'll simply use the command-line, a code editor, and a C compiler. All these tools are multi-platform, so you'll be able to code along on either Windows, macOS, or Linux!

Also, make sure you have pen and paper ready for the lectures. This course will probably be a little bit different than other programming courses you took before. We will take our sweet time and make sure we understand every formula we find along the way!

Is this course for you?

3d programming tutorial This is a self-contained course with no prerequisites. However, you will probably get the most out of it if you already know the basics of coding (if-else, loops, functions). If you never programmed in C before, don't worry! Many successful students come from different languages like Java, Python, JavaScript, Swift, and others. We'll learn to work with the C language together.

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# Title Duration
1 1.01 Introduction and Learning Outcomes 12:24
2 1.02 How to Take this Course 02:59
3 1.03 Words of Encouragement 02:37
4 2.01 Project Dependencies 10:00
5 2.02 A Quick Note for Windows Users 01:56
6 2.03 Project Folder Structure 02:02
7 2.04 The Compilation Flow 06:19
8 2.05 Working with Makefiles 08:21
9 2.06 Configuring Visual Studio on Windows 14:46
10 3.01 Creating an SDL Window 19:16
11 3.02 Rendering an SDL Window 19:54
12 3.03 Declaring a Color Buffer 20:51
13 3.04 Allocating Memory and Freeing Resources 07:42
14 3.08 SDL Texture 17:14
15 3.09 Fullscreen Window 08:31
16 3.10 Exercise. Drawing a Background Grid 02:59
17 3.11 Drawing a Background Grid 05:43
18 3.13 Exercise. Drawing Rectangles 03:09
19 3.14 Creating a Function to Draw Rectangles 06:00
20 4.01 Defining Header Files 11:20
21 4.02 Coding New Header Files 13:01
22 5.01 The Draw Pixel Function 07:48
23 5.02 Vectors 14:50
24 5.03 Declaring a Vector Type 03:40
25 5.04 Review of C Structs 06:24
26 5.05 Array of Points 09:31
27 6.01 Orthographic Projection 16:13
28 6.03 Perspective Projection 15:34
29 6.04 Implementing the Perspective Divide 04:14
30 6.05 Coordinate System Handedness 03:12
31 7.01 Vector Transformations 10:06
32 7.02 Review of Sine Cosine and Tangent 08:58
33 7.04 Rotating Vectors 22:10
34 7.05 Vector Rotation Function 11:18
35 7.06 Proof of Angle Sine Addition 16:10
36 7.08 Proof of Angle Cosine Addition 07:05
37 8.01 Fixing our Game Loop Time Step 14:25
38 8.02 Using a Delay Function 08:14
39 9.01 Triangles and Meshes 12:36
40 9.02 Vertices and Triangle Faces 24:40
41 9.03 Triangle Edges 02:49
42 10.01 Line Equation 15:19
43 10.02 DDA Line Drawing Algorithm 22:39
44 10.03 Coding a Function to Draw Lines 21:51
45 11.01 Dynamic Arrays 20:55
46 11.03 Dynamic Mesh Vertices and Faces 22:26
47 12.01 OBJ Files 20:17
48 12.02 Exercise. Loading OBJ File Content 08:31
49 12.03 Loading OBJ File Content 26:23
50 13.01 Back-face Culling Motivation 08:37
51 13.03 Vector Magnitude 13:49
52 13.04 Vector Addition and Subtraction 09:31
53 13.05 Vector Scalar Multiplication and Division 04:24
54 13.06 Vector Cross Product 08:59
55 13.07 Finding the Normal Vector 08:34
56 13.08 Dot Product 12:24
57 13.10 Back-face Culling Algorithm 04:33
58 13.11 Back-face Culling Code 26:26
59 13.13 Vector Normalization 20:09
60 14.01 Triangle Fill 06:38
61 14.02 Flat-Bottom & Flat-Top Technique 07:20
62 14.03 Activity. Find Triangle Midpoint 04:39
63 14.04 Solution to the Triangle Midpoint 09:10
64 14.05 Coding the Triangle Midpoint Computation 14:42
65 14.06 Flat-Bottom Triangle Algorithm 09:49
66 14.07 Flat-Bottom Triangle Code 14:22
67 14.08 Flat-Top Triangle Algorithm 05:10
68 14.09 Flat-Top Triangle Code 09:34
69 14.10 Avoiding Division by Zero 07:25
70 14.12 Different Rendering Options Solution 16:29
71 14.15 Colored Triangle Faces 14:35
72 15.01 Painter's Algorithm 11:35
73 15.03 Coding a Sorting Function 14:07
74 16.01 Matrices Overview 13:48
75 16.02 Matrix Operations 11:50
76 16.03 Properties of Matrix Multiplication 08:43
77 16.04 Examples of Matrix Multiplication 07:19
78 16.06 2D Rotation Matrix 07:09
79 17.01 3D Matrix Transformations 09:15
80 17.02 3D Scale Matrix 08:55
81 17.03 Matrix Typedef 09:41
82 17.04 Scale Matrix Code 18:35
83 17.05 3D Translation Matrix 07:54
84 17.06 Translation Matrix Code 06:09
85 17.07 3D Rotation Matrices 09:40
86 17.08 Rotation Matrix Code 09:23
87 17.10 The World Matrix 18:07
88 17.11 Order of Transformations 04:43
89 17.12 Translation is Not a Linear Transformation 09:22
90 18.01 Defining a Projection Matrix 18:46
91 18.02 Populating our Perspective Projection Matrix 13:03
92 18.03 Coding the Perspective Projection Matrix 21:27
93 18.04 Exercise. Projecting Negative Values 03:10
94 18.05 Projecting Negative Values 06:16
95 18.07 Row-major and Column-major Orders 07:46
96 19.01 Flat Shading 14:28
97 19.02 Coding Flat Shading & Light 28:09
98 19.04 Smooth Shading Techniques 07:47
99 19.06 Inverted Vertical Screen Values 07:54
100 20.01 Texture Mapping 14:33
101 20.02 Representing Textures in Memory 12:41
102 20.03 Texture Typedef 28:15
103 20.04 Textured Triangles 05:52
104 20.05 Textured Flat-Bottom Triangle 30:18
105 20.06 Textured Flat-Top Triangle 09:14
106 20.07 Barycentric Coordinates 18:16
107 20.08 Barycentric Weights (О±, ОІ, Оі) 18:58
108 20.09 Function to Compute (О±, ОІ, Оі) 13:13
109 20.10 Visualizing Textured Triangles 25:43
110 21.01 Perspective Correct Interpolation 28:55
111 21.02 PS1 Games and Affine Texture Mapping 03:52
112 21.03 Perspective Correct Interpolation Code 35:46
113 21.06 Inverted Cube UV Coordinates 06:05
114 22.01 Decoding PNG Files 10:08
115 22.03 Loading PNG File Content 21:18
116 22.04 Freeing PNG Textures 01:43
117 23.01 Loading OBJ Texture Attributes 25:44
118 23.02 Preventing Texture Buffer Overflow 10:54
119 23.04 Visualizing Textured OBJ Models 07:42
120 24.01 Z-Buffer 13:55
121 24.02 Z-Buffer Code 22:35
122 24.03 Exercise. Z-Buffer for Filled Triangles 05:00
123 24.04 Implementing a Z-Buffer for Filled Triangles 10:37
124 24.05 A Discussion on Dynamic Memory Allocation 18:01
125 25.01 Camera Space 15:30
126 25.02 Look At Camera Model 10:34
127 25.03 Look At Transformations 17:40
128 25.04 The LookAt Function 11:47
129 25.05 Coding the LookAt Function 24:16
130 25.07 Variable Delta-time 11:45
131 25.08 A Simple FPS Camera Movement 06:07
132 25.09 Coding a Simple FPS Camera Movement 35:56
133 26.01 Frustum Clipping 09:03
134 26.02 Planes 07:17
135 26.03 Exercise. Right Frustum Plane Point & Normal 03:25
136 26.04 Defining Frustum Planes Points & Normals 19:12
137 26.05 Initializing an Array of Frustum Planes 12:00
138 26.06 Defining Points Inside and Outside Planes 06:26
139 26.07 Intersection Between Line & Plane 18:22
140 26.08 Clipping a Polygon Against a Plane 14:28
141 26.09 Polygon Typedef 23:51
142 26.10 A Function to Clip Polygon Against Planes 24:27
143 26.11 Coding the Function to Clip Polygons Against Planes 38:37
144 26.12 Converting Polygons Back Into Triangles 06:57
145 26.13 Visualizing Clipped Triangles 24:08
146 26.14 Horizontal & Vertical FOV Angles 21:03
147 26.15 Clipping Texture UV Coordinates 37:16
148 26.16 Clipping Space 18:35
149 27.01 Working with Static Variables 08:52
150 27.02 Refactoring SDL Globals 30:28
151 27.03 Simulating Low-Resolution Displays 12:30
152 27.04 Refactoring Light Globals 07:16
153 27.05 Exercise. Camera Pitch Rotation 04:40
154 27.06 Implementing the Camera Pitch Rotation 14:41
155 28.01 Declaring Multiple Meshes 17:30
156 28.02 Implementing Multiple Meshes 28:55
157 28.03 Implementing Multiple Textures 16:18
158 28.04 Finishing our Implementation 20:06
159 28.05 Handedness & Orientation 23:12
160 29.01 Dedicated Graphics Cards 10:06
161 29.02 Modern Graphics APIs & Shaders 14:17
162 29.03 A Parallel Rasterization Algorithm 19:22
163 29.04 Determining Point Inside Triangle 16:21
164 29.05 Top-Left Rasterization Rule 17:38
165 29.06 Edge Function & Barycentric Weights 14:04
166 29.07 Edge Function & Constant Increments 19:23
167 29.08 Subpixel Rasterization 23:15
168 30.03 Next Steps 10:26

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