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Real-Time 3D Graphics with WebGL 2

You're reading from   Real-Time 3D Graphics with WebGL 2 Build interactive 3D applications with JavaScript and WebGL 2 (OpenGL ES 3.0)

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Product type Paperback
Published in Oct 2018
Publisher Packt
ISBN-13 9781788629690
Length 500 pages
Edition 2nd Edition
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Authors (2):
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Farhad Ghayour Farhad Ghayour
Author Profile Icon Farhad Ghayour
Farhad Ghayour
Diego Cantor Diego Cantor
Author Profile Icon Diego Cantor
Diego Cantor
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Table of Contents (14) Chapters Close

Preface 1. Getting Started FREE CHAPTER 2. Rendering 3. Lights 4. Cameras 5. Animations 6. Colors, Depth Testing, and Alpha Blending 7. Textures 8. Picking 9. Putting It All Together 10. Advanced Techniques 11. WebGL 2 Highlights 12. Journey Ahead 13. Other Books You May Enjoy

Parametric Curves

There are many situations where we don't know the exact position of an object at a given time, but we do know an equation that describes its movement. These equations are known as parametric curves; they are parametric because the position depends on one parameter—for example, the time.

There are many examples of parametric curves. For example, a projectile shot in a game, a car going downhill, or a bouncing ball. In each case, there are equations that describe the motion of these objects under ideal conditions. The following diagram shows the parametric equation that describes the free-fall motion:

Where:

  • : Gravity at
  • : Initial velocity
  • : Initial Position
  • : Time
  • : Position

We are going to use parametric curves to animate objects in a WebGL scene. In this example, we will model a set of bouncing balls. The complete source code for this exercise...

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