You're reading from C++ Game Animation Programming Learn modern animation techniques from theory to implementation using C++, OpenGL, and Vulkan

Product type Paperback

Published in Dec 2023

Publisher Packt

ISBN-13 9781803246529

Length 480 pages

Edition 2nd Edition

Languages

C++

Tools

OpenGL

Concepts

Animation

Authors (2):

Gabor Szauer

Michael Dunsky

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Table of Contents (22) Chapters

Preface

1. Part 1:Building a Graphics Renderer

2. Chapter 1: Creating the Game Window FREE CHAPTER

3. Chapter 2: Building an OpenGL 4 Renderer

4. Chapter 3: Building a Vulkan Renderer

5. Chapter 4: Working with Shaders

6. Chapter 5: Adding Dear ImGui to Show Valuable Information

7. Part 2: Mathematics Roundup

8. Chapter 6: Understanding Vector and Matrix

9. Chapter 7: A Primer on Quaternions and Splines

10. Part 3: Working with Models and Animations

11. Chapter 8: Loading Models in the glTF Format

12. Chapter 9: The Model Skeleton and Skin

13. Chapter 10: About Poses, Frames, and Clips

14. Chapter 11: Blending between Animations

15. Part 4: Advancing Your Code to the Next Level

16. Chapter 12: Cleaning Up the User Interface

17. Chapter 13: Implementing Inverse Kinematics

18. Chapter 14: Creating Instanced Crowds

19. Chapter 15: Measuring Performance and Optimizing the Code

20. Index

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Exploring vector rotation

Let us start with the most basic rotation we will have in the code, the natural-feeling rotation around the three axes in a three-dimensional cartesian space.

The Euler rotations

In the 18th century, the German mathematician Leonhard Euler (1707-1783) discovered the rule that a composition of two rotations in three-dimensional space is again a rotation, and these rotations differ only by the rotation axis.

We still use this rotation theorem today, to rotate objects around in virtual worlds. The final rotation of a three-dimensional object is a composition of rotations around the x, y, and z axis in three-dimensional cartesian space:

Figure 7.5: The three-dimensional cartesian space, plus the x, y, and z rotation axes

The rotations themselves are defined by the sine and cosine of the rotation angle:

Figure 7.6: Definition of the sine and the cosine of an angle <?AID d835?><?AID df4b?>

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