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

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Published inNov 2022
PublisherPackt
ISBN-139781801077330
Edition1st Edition
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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.
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Summary

In this chapter, we’ve taken a bit of time to focus on how rendering is performed and examined the rendering pipeline and camera setups. A thorough understanding of how these affect the positions and projections of objects in the environment is critical to your understanding of the structure of a 3D environment and the relative locations of drawn artifacts. In addition, considerable time has been spent on elucidating the calculations involved in taking a world vertex position and projecting it onto the screen. The process is not as straightforward as it might first seem, but with a knowledge of basic trigonometry and mathematics, the formulae have been derived.

One common issue that I find when developing these types of applications is just knowing how to debug the code when it seems to be running without syntax errors but nothing appears on the screen. Most often, the issue is that the camera cannot see the object. Therefore, if you can visualize in your mind where...

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Mathematics for Game Programming and Computer Graphics
Published in: Nov 2022Publisher: PacktISBN-13: 9781801077330

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