August 2018
Intermediate to advanced
1198 pages
41h 14m
English
book
Real-Time Rendering, Fourth Edition, 4th Edition
by Tomas Akenine-Möller, Eric Haines, Naty Hoffman
Content preview from Real-Time Rendering, Fourth Edition, 4th Edition
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Chapter 17 Curves and Curved Surfaces
DOI: 10.1201/b22086-17
“Where there is matter, there is geometry.”
—Johannes Kepler
The triangle is a basic atomic rendering primitive. It is what graphics hardware is tuned to rapidly turn into shaded fragments and put into the framebuffer. However, objects and animation paths that are created in modeling systems can have many different underlying geometric descriptions. Curves and curved surfaces can be described precisely by equations. These equations are evaluated and sets of triangles are then created and sent down the pipeline to be rendered.
The beauty of using curves and curved surfaces is at least fourfold: (1) They have a more compact representation than a set of triangles, (2) they provide ...
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