Constructing an orthonormal wavelet from an MRA
Kwok Hao Lee, Guido L. Weiss
TL;DR
This paper details the process of constructing an orthonormal wavelet from a multi-resolution analysis, based on established mathematical frameworks, aimed at readers with foundational knowledge in analysis and measure theory.
Contribution
It provides a detailed, accessible explanation of constructing orthonormal wavelets from MRA, following the approach in Hernandez and Weiss's work.
Findings
Clarifies the construction process of orthonormal wavelets from MRA
Provides a step-by-step methodology aligned with classical theory
Enhances understanding for readers with basic analysis background
Abstract
In this article, we follow closely the approach in Hernandez and Weiss's seminal text in describing the construction of an orthonormal wavelet from a multi-resolution analysis. We assume the reader has a modest background in analysis and measure theory.
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Taxonomy
TopicsImage Processing and 3D Reconstruction · Neural Networks and Applications · Image and Signal Denoising Methods