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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21. Other Books You May Enjoy

Using quaternions for smooth rotations

Spherical Linear Interpolation, or SLERP for short, uses mathematics to rotate from the position of one quaternion to the position of another quaternion. Figure 7.10 shows an example of SLERP. The red line is the path for the interpolation between the quaternions with orientations <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:m="http://schemas.openxmlformats.org/officeDocument/2006/math"><mml:msub><mml:mrow><mml:mi>φ</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math> and .

Figure 7.10: Spherical Linear Interpolation between two quaternions

Doing the same transition with Euler angles works in one dimension. But for a full three-dimensional path between two quaternions, there is no simple mathematical solution to go from one combined rotation to another while maintaining a steady path in all the directions of the movement.

Note

Rotating from orientation <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:m="http://schemas.openxmlformats.org/officeDocument/2006/math"><mml:msub><mml:mrow><mml:mi>φ</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math> and has a second solution: the other way around the circle, starting on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:m="http://schemas.openxmlformats.org/officeDocument/2006/math"><mml:msub><mml:mrow><mml:mi>φ</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math> and going “downward.” It is not guaranteed that Spherical Linear Interpolation will use the shortest path between two quaternions; this must be checked in the implementation...

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

Table of Contents (22) Chapters

Using quaternions for smooth rotations

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Authors (2)

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