Visual Wavelet‐Lab: An object‐oriented library and a GUI application for the study of the wavelet transform

Abstract

ABSTRACT:In this work, we present Visual Wavelet-Lab, a software application that offers object-oriented library and a graphical user interface (GUI) to learn and apply wavelet transforms to one-and two-dimensional signals. The solution described is based on encapsulating and reusing the proprietary environment Matlab and the corresponding Wavelet Toolbox. This will allow for developing custom user applications, with well-defined and specific characteristics, aimed at learning the wavelet transform and applications. Since functionality is reused, and therefore it has not to be implemented, we gain the possibility to build in powerful and ad hoc tools for teaching and investigating, in a short term and at low costs. The application developed was presented to several users and evaluated in terms of usability. The results obtained are encouraging and indicate that using Visual Wavelet-Lab can be a useful tool for educational purposes. ß

The Wavelet-Based Denoising Of Images in Fiji, With Example Applications in Structured Illumination Microscopy

“…A standalone application for the study of the wavelet transform (Visual Wavelet-Lab) has been described (Roselló et al, 2014), as well as simple applications for DWT -2D Fast Wavelet Transform Library in C++ (codeproject.com/Articles/20869/D-Fast-Wavelet-Transform-Library-for-Image-Pro-ces) and Wavelets demo in Accord.NET framework (accord-framework.net/samples.html). Xlib library with DWT of images (imagej.net/Xlib#Wavelets_2D), Fractional Wavelet Module (2D or 3D) plugin with filtering possibilities (Unser and Blue, 2000), denoising single images using Haar filters (imagej.nih.gov/ij/plugins/haar-wavelet-filter.html) are, for example, available in ImageJ (imagej.nih.gov).…”

MATLAB and FPGA‐based interactive tool for exploring concepts on compressed sensing

“…Nowadays, computational resources and software packages allow interested students to obtain immediate insight of theoretical concepts; however, some computational intensive algorithms require the incorporation of hardware solutions to allow real time experimentation . There are several high‐level software authoring packages that have been used to develop engineering education applications in the field of digital signal processing, such as MATLAB, LabVIEW, MathCAD, Maple, and others , as well as JAVA or c++ for the developing of web‐based educational resources . Among these, MATLAB stands out as a standard language for science and technology due to its flexibility and ease of use, as well as the availability of a large number of toolboxes that have been developed for many different applications.…”

“…Mathematical analysis of the process makes evident the fact that an underdetermined system is required to be solved; however, based on signal sparsity, a solution can be obtained through the use of special optimization techniques. For that purpose, several signal recovery algorithms can be used, such as l 1 minimization, Greedy and combinatorial algorithms [9,10]. The most convenient approach for implementation in hardware is the use of the so called Greedy algorithms.…”