Education
University of Jamestown
Aug 2011 - May 2015
Bachelor of Arts, Mathematics and Computer science
Graduated Cum Laude with a double major in Computer Science and Mathematics and a minor in Leadership.
Recipient of a number of awards in the Computer Science department including College Fellow in Computer Science and Outstanding Computer Science Graduate, 2015.
Involved in Track & Field; named a top Scholar-Athlete by the North Star Athletic Association in 2015.
Member of the university's Knights Society which involved various volunteer work such as fundraising and catering.
Fourier Analysis and Image Processing
Final research paper for the Mathematics capstone course. This paper starts with a derivation of the Fourier Series, and the motivation behind its discovery. By extending a function's period to infinity, the Fourier Transform is derived. From this, the Discrete Fourier Transform arose, and was able to be applied towards digital images. This paper shows how filtering can be used in the frequency domain to manipulate images to blur, sharpen, remove noise, etc.
Anti-Aliasing in Computer Graphics
Final research paper for the CS capstone course. This paper shows how Fourier Analysis can be used to show that aliasing occurs because of the conversion from continuous space (definition of the image) to discrete space (pixels on the screen). Anti-aliasing will reduce unwanted visual artifacts in graphics, involving steps such as sampling, reconstruction, and filtering - not necessarily in that order. A handful of recent work is examined including the revolutionary Morphological Anti-Aliasing.
