Term of Award
Fall 2014
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Department
Department of Mathematical Sciences
Committee Chair
Yingkang Hu
Committee Member 1
Scott Kersey
Committee Member 2
Xiezhang Li
Committee Member 3
Jiehua Zhu
Abstract
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.
Recommended Citation
J. A. Smith. "Generating Surfaces of Variable Eccentricity Within a Ray Tracer" (2014), Thesis Preprint
