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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.
Read more about Penny de Byl

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Anti-aliasing

In the previous sections, we worked on producing pixel-by-pixel lines where one pixel was chosen over another in order to create a continual line or circle. If you zoom in on these pixels, however, you will find that they are quite jagged in appearance, as illustrated by the zoomed-in section of a circle shown in Figure 3.10:

Figure 3.10: A zoomed-in section of the Bresenham circle pixels

This effect occurs because of the way that integer values are chosen to represent the drawing. However, when we looked at the actual equations for lines and circles in the The Naïve Way: Drawing a line with brute force and Drawing Circles the Bresenham way sections, it was clear they involved floating-point values and seemed to pass through more than one pixel. To improve the look of these kinds of drawings, a process called anti-aliasing is employed to blur the pixels that are neighbors of the line pixels to fade the edges of the line. Figure 3.11 shows...

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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