Dissertation/Thesis Abstract

A Foundation for the 3D-Discrete Wavelet Transform by Benjamin Allen Schulte, Bachelor of Science
by Schulte, Benjamin Allen, M.S., Southern Illinois University at Edwardsville, 2015, 44; 1589849
Abstract (Summary)

Wavelets provide an amazing set of tools for handling all sorts of fundamental problems in science, and engineering, such as audio de-noising, signal compression, object detection, fingerprint compression, image de-noising, image enhancement, diagnostic heart trouble, speech recognition, and video compression to name a few. Here, we are going to concentrate on the foundations of approximation and detail operators which are created by the coefficients associated with their scaling function and wavelet function counterparts. Since there are various wavelets out there this paper has a focus on the Haar system to help develop a concrete understanding of the approximation and detail operators. Then we will continue to use these operators in a more general sense to allowing us to formally write the definition of the 3D-DWT.

Indexing (document details)
Advisor: Song, Myung-Sin
Commitee: Jarosz, Krzysztof, Pelekanos, George
School: Southern Illinois University at Edwardsville
Department: Mathematics and Statistics
School Location: United States -- Illinois
Source: MAI 54/05M(E), Masters Abstracts International
Source Type: DISSERTATION
Subjects: Mathematics
Keywords: 3d-dwt, Approximation operator, Benjamin schulte, Detail operator, Discrete wavelet transform, Wavelets
Publication Number: 1589849
ISBN: 978-1-321-78289-9
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