Wavelet Transform - Matlab - matlab

I would like to learn how does the Wavelet transform works from a practical point of view. I have read the theory regarding it and I think that I have understood the main idea behind it, but I would like to have some practice with it.
Can you please recommend me some tutorial and some data which I can use for learning the Wavelet Transform by using Matlab environment?
I tried to search for audio signal or practical tutorial on which I can work on but I had no results.

The Mathworks site has some information on their wavelet toolbox and some simple examples of continuous 1D wavelet transforms and discrete 2D wavelet transforms.
Since you have studied and understood the theory behind wavelet transforms, the best way to learn is to go through the source code for various algorithms that have been used by others. For starters looking at the core of the various functions provided in the toolbox above (just enter type functionname at the command line in MATLAB. Unless if it's a built-in function, you'll see the file contents). By core of the function, I mean the main algorithm without all the various input checks that are common.
The Wavelab toolbox from Stanford university is also a good resource to learn from (and later use in your applications when you're comfortable with it).
Lastly, this is a resource I found by Googling and it looks like they have some examples that you can try out.

Related

Python library for genetic algorithm based curve fitting?

I'm planning to carry out a curve fitting task using genetic algorithms. For this purpose, I'm looking for an out of the box tool in python. Can you recommend such libraries? So far, I've come across scipy's optimize.differential_evolution. It looks promising, but before I dive into its specifics, I'd like to get a good sense of what other methods are out there, if any.
Thanks

MATLAB Motion Tracking and Data

I'm very new to coding, and need some help with a project of sorts. I have segments of video, and I need to be able to track the motion of an object(s) through these segments, and get data like a mapped path, average and instantaneous velocities, etc. I'm trying to do this in MATLAB, and have the 2016a version installed. Any help is greatly appreciated.
Without knowing exactly what project you're working on, I can guess that Matlab is the wrong tool for this job.
I've been using Matlab near-daily for about four years now, but when I want to track an object in a video, I use Tracker.
Matlab is a good language for a beginning programmer because you can start doing numerical calculations, and plotting the results, very quickly. More advanced programmers tend to use Matlab to process data (Mathworks has many useful libraries for things like Fourier Transforms); to do linear algebra; to do quick numerical analyses; and to build scientific models. These applications are mainly in math, science, and engineering.
If you want to learn Matlab, I recommend you find a project which plays to Matlab's strengths.
If you want to analyse images and videos, I recommend that you learn a language which is used professionally for this purpose, such as Python or Java.

Generate code from wavelet toolbox in matlab

I am using the wavelet toolbox to do a 1D continuous wavelet ransform and have got some really nice results.
Do I now have to write all the code in matlab or is there a way to generate code from the toolbox?
for example:
Can I generate the code used to get this output?
It used to be File --> generate
e.g.
http://uk.mathworks.com/help/wavelet/ug/generating-matlab-code-for-1-d-wavelet-packet-denoising-and-compression.html
You may want to look at free libraries like WaveLab before you take on the task of programming this from scratch. These algorithms were all developed in the 1990s and most of them are implemented there.

Why is SIFT not available in Matlab?

SIFT is an important and useful algorithm in computer vision but it seems that it is not part of Matlab or any of its toolboxes.
Why ? Does Matlab offer something better or equivalent ?
MATLAB has SURF available as part of the Computer Vision Toolbox but not SIFT: http://www.mathworks.com/help/vision/ref/surfpoints-class.html. However, both algorithms are pretty much the same with some minor (but crucial) differences, such as using integral images and a fast Hessian detector. I won't go into those differences in any further detail, but you can certainly read up on the work here: http://www.vision.ee.ethz.ch/~surf/eccv06.pdf. As to the reason why MathWorks decided to use SURF instead of SIFT... it could be any reason really. AFAIK, there is no official reason why one was chosen over the other as they are both subject to being patented.
However, if you want to use SIFT within MATLAB, one suggestion I have is to use the VLFeat toolbox where a C and MATLAB implementation of the keypoint, detection and matching framework has been made available and is open source. It also has a variety of other nice computer vision algorithms implemented, but VLFeat is one of the libraries that I know of that manages to compute SIFT as accurately as the original patented algorithm.
If you're dead set on using SIFT, check VLFeat out! Specifically, check out the official VLFeat tutorial on SIFT using the MATLAB wrappers: http://www.vlfeat.org/overview/sift.html

Feature Selection methods in MATLAB?

I am trying to do some text classification with SVMs in MATLAB and really would to know if MATLAB has any methods for feature selection(Chi Sq.,MI,....), For the reason that I wan to try various methods and keeping the best method, I don't have time to implement all of them. That's why I am looking for such methods in MATLAB.Does any one know?
svmtrain
MATLAB has other utilities for classification like cluster analysis, random forests, etc.
If you don't have the required toolbox for svmtrain, I recommend LIBSVM. It's free and I've used it a lot with good results.
The Statistics Toolbox has sequentialfs. See also the documentation on feature selection.
A similar approach is dimensionality reduction. In MATLAB you can easily perform PCA or Factor analysis.
Alternatively you can take a wrapper approach to feature selection. You would search through the space of features by taking a subset of features each time, and evaluating that subset using any classification algorithm you decide (LDA, Decision tree, SVM, ..). You can do this as an exhaustively or using some kind of heuristic to guide the search (greedy, GA, SA, ..)
If you have access to the Bioinformatics Toolbox, it has a randfeatures function that does a similar thing. There's even a couple of cool demos of actual use cases.
May be this might help:
There are two ways of selecting the features in the classification:
Using fselect.py from libsvm tool directory (http://www.csie.ntu.edu.tw/~cjlin/libsvmtools/#feature_selection_tool)
Using sequentialfs from statistics toolbox.
I would recommend using fselect.py as it provides more options - like automatic grid search for optimum parameters (using grid.py). It also provides an F-score based on the discrimination ability of the features (see http://www.csie.ntu.edu.tw/~cjlin/papers/features.pdf for details of F-score).
Since fselect.py is written in python, either you can use python interface or as I prefer, use matlab to perform a system call to python:
system('python fselect.py <training file name>')
Its important that you have python installed, libsvm compiled (and you are in the tools directory of libsvm which has grid.py and other files).
It is necessary to have the training file in libsvm format (sparse format). You can do that by using sparse function in matlab and then libsvmwrite.
xtrain_sparse = sparse(xtrain)
libsvmwrite('filename.txt',ytrain,xtrain_sparse)
Hope this helps.
For sequentialfs with libsvm, you can see this post:
Features selection with sequentialfs with libsvm