Undergraduate Honors Theses

Thesis Defended

Spring 2018

Document Type

Thesis

Type of Thesis

Departmental Honors

Department

Mathematics

First Advisor

Dr. Jeanne Clelland

Abstract

As the title suggests, this paper discusses the applications of several mathematical concepts to computer animation software generally used in the creation of movies and video games. Topics covered will include differential forms, conformal maps, surface texturing, and lighting techniques. It is not the goal of this paper to present anything particularly novel to the mathematical community, but rather to present something that is entertaining to read that will hopefully engage both mathematicians and sane people alike. This paper has been carefully crafted so that it should be accessible to most people with a Calc. I background. That being said, the final section of this paper, which contains some of the applications of math in animation software, should be readable to most people so long as they don’t freak out when they encounter the rendering equation.

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