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Animation is a big part of today's world from Computer Generated Imagery (CGI) to stop motion and from 8-bit animations to 3D graphics. It is used as a tool for grabbing one's attention, so many different companies use it. Although, some animation may seem basic, there is a large amount of math involved.
Animators need to understand how to translate "principles of arithmetic, geometry, and algebra into software that renders objects or powers physics engines." Using this process, many animators at Pixar or other computer animation or video game studios are able to create fluently moving pictures.
Today, animators use a process called subdivision to smooth out the rough edges.
Subdivision surfaces are defined recursively. The process starts with a given polygonal mesh. After it is subdivided, new vertices and new faces are created. Positions of the new vertices in the mesh are computed based on the positions of nearby old vertices.
This process produces a finer mesh than the original one, containing more polygonal faces. This process can be redone multiple times to make more defined shapes. This process can theoretically be done an infinite amount of times. For practical use of subdivision, it is only applied a number of times.
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This page by Jonah P. ('19)
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