Welcome to my MATH 4990 (Senior Seminar) research project web page. Here you will find the text of my article, the source code to my Haar wavelet image compression program, and various items used to prepare the article.
— James Sumners
22 July 2008
Abstract
In this article we examine two methods of image compression. We compare the Discrete Cosine Tranform II, the basis of the JPEG image format, with the Discrete Wavelet Transform. Specifically, we examine how the Haar Wavelet can be used to compress images, and how it compares with JPEG compression. The main focus of the article is the Discrete Wavelet Transform and the theory behind it.
Files
- Article: PDF TeX
- Wavelet source code: Zip
- Maple worksheets: Haar Worksheet DCT Worksheet
- DCT Lab: Zip (includes modifications)
- Matlab: Compression Ratio Count Zeros
