Game Development
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You're reading from  Mathematics for Game Programming and Computer Graphics

Product typeBook
Published inNov 2022
PublisherPackt
ISBN-139781801077330
Edition1st Edition
Tools
OpenGL
Concepts
Game Optimization
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Author (1)
Penny de Byl
Penny de Byl
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Penny de Byl

Penny de Byl is a full stack developer with an honors in graphics and Ph.D. in artificial intelligence for games. She has a passion for teaching, teaching games development and computer graphics for over 25 years in universities in Australia and Europe. Her best-selling textbooks, including Holistic Game Development with Unity, are used in over 100 institutions. She has won numerous awards for teaching, including an Australian Government Excellence in Teaching Award and the Unity Mobile Game Curriculum Competition. Her approach to teaching computer science and related fields is project-based giving you hands-on workshops you can immediately get your teeth into. The full range of her teaching interests can be found at H3D Learn.
Read more about Penny de Byl

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Translating points in 3D

We first encountered OpenGL’s translations and rotations back in Chapter 4, Graphics and Game Engine Components, and then began building a Transform class for our Python project in Chapter 6, Updating and Drawing the Graphics Environment. In this chapter, we will continue working on this class to provide all the functionality of affine transformations, beginning with that of translation.

Whichever affine transformation you are applying, the rule is that the operation is applied to every point to which you want to apply the transformation. In the case of the vertices of a cube, you may have six vertices, as shown in Figure 12.2. This cube is centered around the origin:

Figure 12.2: A cube with each vertex coordinate displayed

To translate the cube—that is, to move it to another location—we must perform the same operation on each of the vertices such that they maintain the integrity of the cube. That means that...

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Mathematics for Game Programming and Computer Graphics
Published in: Nov 2022Publisher: PacktISBN-13: 9781801077330
© 2022 Packt Publishing Limited All Rights Reserved

Author (1)

author image
Penny de Byl

Penny de Byl is a full stack developer with an honors in graphics and Ph.D. in artificial intelligence for games. She has a passion for teaching, teaching games development and computer graphics for over 25 years in universities in Australia and Europe. Her best-selling textbooks, including Holistic Game Development with Unity, are used in over 100 institutions. She has won numerous awards for teaching, including an Australian Government Excellence in Teaching Award and the Unity Mobile Game Curriculum Competition. Her approach to teaching computer science and related fields is project-based giving you hands-on workshops you can immediately get your teeth into. The full range of her teaching interests can be found at H3D Learn.
Read more about Penny de Byl

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