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Hands-On C++ Game Animation Programming

You're reading from Hands-On C++ Game Animation Programming

Product type Book

Published in Jun 2020

Publisher Packt

ISBN-13 9781800208087

Pages 368 pages

Edition 1st Edition

Languages

Concepts

Author (1):

Gabor Szauer

Table of Contents (17) Chapters

Preface

1. Chapter 1: Creating a Game Window

2. Chapter 2: Implementing Vectors

3. Chapter 3: Implementing Matrices

4. Chapter 4: Implementing Quaternions

5. Chapter 5: Implementing Transforms

6. Chapter 6: Building an Abstract Renderer

7. Chapter 7: Exploring the glTF File Format

8. Chapter 8: Creating Curves, Frames, and Tracks

9. Chapter 9: Implementing Animation Clips

10. Chapter 10: Mesh Skinning

11. Chapter 11: Optimizing the Animation Pipeline

12. Chapter 12: Blending between Animations

13. Chapter 13: Implementing Inverse Kinematics

14. Chapter 14: Using Dual Quaternions for Skinning

15. Chapter 15: Rendering Instanced Crowds

16. Other Books You May Enjoy

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Understanding cubic Bézier splines

To implement game animation, you need some understanding of curves. Let's start with the basics—a cubic Bézier spline. A Bézier spline has two points to interpolate between and two control points that help generate a curve. This is what a cubic Bézier spline looks like:

Figure 8.2: A cubic Bézier spline

Figure 8.2: A cubic Bézier spline

Given the two points and the two controls, how is the curve generated? Let's explore interpolating the curve for a given time, t. Start by drawing a line from P1 to C1, from C1 to C2, and from C2 to P2. Then, linearly interpolate along those lines with the value of t:

Figure 8.3: Linearly interpolating between points and control points

Figure 8.3: Linearly interpolating between points and control points

The interpolated points from P1 to C1 is A, from C2 to P2 is B, and from C1 to C2 is C. Next, you need to repeat this process, drawing lines and interpolating from A to C and from C to B. Let's call these newly...

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Authors (1)

Gabor Szauer

Gabor Szauer has been making games since 2010. He graduated from Full Sail University in 2010 with a bachelor's degree in game development. Gabor maintains an active Twitter presence, and maintains a programming-oriented game development blog. Gabor's previously published books are Game Physics Programming Cookbook and Lua Quick Start Guide, both published by Packt.

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