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

Author (1)

Penny de Byl

Part 3 – Essential Transformations

In this part, you will learn how to manipulate graphical elements primarily through translation, rotation, and scaling. This content makes use of the knowledge obtained in Part 2, Essential Trigonometry, by applying vector and triangle mathematics to solve the problem of moving, scaling, and rotating objects in a 3D environment. Of most importance to your success as a graphics programmer is the thorough examination of matrices and quaternions that will explain why graphics and game engines always work with 4D values. In addition, the perplexing set of coordinate spaces that are a large part of transforming a model’s 3D vertices into pixels on the screen will be demystified and built into the project.

In this part, we cover the following chapters:

Chapter 12, Mastering Affine Transformations
Chapter 13, Understanding the Importance of Matrices
Chapter 14, Working with Coordinate Spaces
Chapter 15, Navigating the...

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Author (1)

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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