Generating Surfaces of Variable Eccentricity Within a Ray Tracer

<p>Polynomial surfaces used in ray tracing have recently been improved upon allowing for three dimensional applications. Among these are surfaces that have a varying eccentricity. This paper will discuss a method for finding real roots of polynomials [allowing us to create these surfaces]. First, we will give the reader a basic comprehension of the workings of a ray tracer, a general understanding of three dimensional polynomial surfaces, how this newly implemented root finder functions, and how these concepts enable us to create surfaces of variable eccentricity. Then, examples will be provided to demonstrate the capabilities of the program.</p>

Name thesis:degree_name

Master of Science in Mathematics (M.S.)

Level thesis:degree_level

Thesis (open access)

Discipline thesis:degree_discipline

Department of Mathematical Sciences

Year dc:date.available

2014

Author dc:creator

• Smith, Joshua A

Contributors dc:contributor

• Scott Kersey
• Xiezhang Li
• Jiehua Zhu

• ETD
• Polynomial
• surfaces
• ray tracing
• three dimensional applications
• Other Applied Mathematics

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/1180

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-2235