Output of 2D DFT in jTransforms - java

I'm trying to write a high/low pass image filter using jtransforms. Everything is working very nicely in the sense that I can transform an image using the complexForward method of the FloatFFT_2D class, and then come back to exactly the same picture using the complexInverse method. I'm using a float[] input rather than a float[][].
However, to apply the filter I need to remove some of the frequency components in between these two stages. My problem is that I don't know what the output looks like, or in other words, where within the output array the different spatial frequencies are stored. Is a[0] the DC value, for example?
The documentation isn't particularly forthcoming on this, so I'd be grateful if anyone knew the answer!

Figured it out - the low frequency components are in the corners. So if you need the low frequency components to be at the centre, a java version of fftshift needs to be implemented as explained in the link below:
http://www.mathworks.co.uk/help/matlab/ref/fftshift.html

Related

How exactly do I use OpenCV and homographies to undo perspective warp?

I need to use Java and OpenCV to do the process shown on http://en.wikipedia.org/wiki/Perspective_control
I know exactly where the 4 points of my trapezoid are, and I just need them to square up. I've heard I need to use a homography and a warpPerspective command, but I don't know what parameters these use. I don't know HOW to employ them, only that I do need to use them. Can anyone fully explain this? I've never done anything like this, so starting from a bare minimum would be awesome. I'd really like to get into the world of computer vision so having someone to help me out is greatly appreciated.
Their are two methods for doing this:
1) Geometric warping where you use perspective geometry to create the H matrix. OR
2) Using feature matches to create that same H matrix.
Opencv has a nice function called findHomography (which is the second method) that takes in 2 arrays. Both arrays should be matching features from the 2 different images.
Once you have the H matrix creating the warped image is also easy and you can just call warpPerspective which you store in a matrix which you then imshow to see.

How to determine the position of a car inside an image?

Is it possible to analyse an image and determine the position of a car inside it?
If so, how would you approach this problem?
I'm working with a relatively small data-set (50-100) and most images will look similar to the following examples:
I'm mostly interested in only detecting vertical coordinates, not the actual shape of the car. For example, this is the area I want to highlight as my final output:
You could try OpenCV which has an object detection API. But you would need to "train" it...by supplying it with a large set of images that contained "cars".
http://docs.opencv.org/modules/objdetect/doc/objdetect.html
http://robocv.blogspot.co.uk/2012/02/real-time-object-detection-in-opencv.html
http://blog.davidjbarnes.com/2010/04/opencv-haartraining-object-detection.html
Look at the 2nd link above and it shows an example of detecting and creating a bounding box around the object....you could use that as a basis for what you want to do.
http://www.behance.net/gallery/Vehicle-Detection-Tracking-and-Counting/4057777
Various papers:
http://cbcl.mit.edu/publications/theses/thesis-masters-leung.pdf
http://cseweb.ucsd.edu/classes/wi08/cse190-a/reports/scheung.pdf
Various image databases:
http://cogcomp.cs.illinois.edu/Data/Car/
http://homepages.inf.ed.ac.uk/rbf/CVonline/Imagedbase.htm
http://cbcl.mit.edu/software-datasets/CarData.html
1) Your first and second images have two cars in them.
2) If you only have 50-100 images, I can almost guarantee that classifying them all by hand will be faster than writing or adapting an algorithm to recognize cars and deliver coordinates.
3) If you're determined to do this with computer vision, I'd recommend OpenCV. Tutorial here: http://docs.opencv.org/doc/tutorials/tutorials.html
You can use openCV latentSVM detector to detect the car and plot a bounding box around it:
http://docs.opencv.org/modules/objdetect/doc/latent_svm.html
No need to train a new model using HaarCascade, as there is already a trained model for cars:
https://github.com/Itseez/opencv_extra/tree/master/testdata/cv/latentsvmdetector/models_VOC2007
This is a supervised machine learning problem. You will need to use an API that features learning algorithms as colinsmith suggested or do some research and write on of your own. Python is pretty good for machine learning (it's what I use, personally) and has some nice tools like scikit: http://scikit-learn.org/stable/
I'd suggest for you to look into HAAR classifiers. Since you mentioned you have a set of 50-100 images, you can use this to build up a training dataset for the classifier and use it to classify your images.
You can also look into SURF and SIFT algorithms for the specified problem.

JTransforms FFT on Image

I have an image that I want to transform to the frequency domain using FFT, there seems to be a lack of libraries for this for Java but I have found two. One is JTransforms and the other was less well known and doesn't have a name.
With the less well known one the 2D could only have length vales of powers of two but had simple to use methods like FastFourierTransform.fastFT(real, imaginary, true); with the real being the 2D array of doubles full of every pixel values and the imaginary part being a 2D array the same size full of zeroes. The Boolean value would depend on a forward or reverse transform. This made sense to me and it worked except for the power of two requirement which ruined any transform I did (I initially added black space around the image to fit it to the closest power of two), what I am struggling with is working out how to use the equivalent methods for JTransforms and would appreciate any guidance in doing so. I will state what I am currently doing.
I believe the relevant class would be DoubleFFT_2D, its constructor takes a number of rows and columns which I would assume to be the width and height of my image. Because my image has no imaginary parts I think I can use doubleFFT.realForwardFull(real); which treats imaginary parts as zero and pass the real 2D array full of pixels. Unfortunately this doesn't work at all. The JavaDoc states the input array must be of size rows*2*columns, with only the first rows*columns elements filled with real data But I don't see how this related to my image and what I would have to do to meet this requirement.
Sorry about the lengthy and poor explanation, if any additional information is needed I would be happy to provide it.
JTransforms Library and Docs can be found here: https://sites.google.com/site/piotrwendykier/software/jtransforms
It's too bad the documentation for JTransforms isn't available online other than a zipped download. It's very complete and helpful, you should check it out!
To answer your question: DoubleFFT_2D.realForwardFull(double[][] a) takes an array of real numbers (your pixels). However, the result of the FFT will have two output values for each input value - a the real and the imaginary part of each frequency bin. This is why your input array needs to be twice as big as the actual image array, with half of it empty / filled with zeroes.
Note that all the FFT functions use a not only for input, but also for output - this means any image data in there will be lost, so it might be desirable to copy to a different / larger array anyway!
The easy and obvious fix for your scenario would be to use DoubleFFT_2D.realForward(double[][] a) instead. This one will only calculate the positive spectrum, because the negative side will be symmetrical to it. This is because your input values are real.
Also, check out the RealFFTUtils_2D class in JTransforms, which will make it a lot easier for you to retrieve your results from the array afterwards :)

How does LWJGL store it's matrix3f data?

Can someone tell me what order LWJGL stores it's materix3f data?
http://lwjgl.org/javadoc/org/lwjgl/util/vector/Matrix3f.html
I want to recreate the middle matrix (R.y) in this image:
http://upload.wikimedia.org/wikipedia/en/math/5/1/4/5148f88bf9e6811e35615c08d2839793.png
So, like would that -sin(angle) be in m.02, or m.20?
Whereas the storage order may differ when stored as a simple 1D-array, you can always be sure of the order when seeing double-indexed members, like m02. In these, the first number is the row and the second is the column.
This is the mathematical convention and is used by any matrix library I know. You can safely assume LWJGL to behave the same. If it really doesn't, write them a hate mail for doing such mathematically inconsistent rubbish.
So -sin goes into m20.

Image Comparison Techniques with Java

I'm looking for several methods to compare two images to see how similar they are. Currently I plan to have percentages as the 'similarity index' end-result. My program outline is something like this:
User selects 2 images to compare.
With a button, the images are compared using several different methods.
At the end, each method will have a percentage next to it indicating how similar the images are based on that method.
I've done a lot of reading lately and some of the stuff I've read seems to be incredibly complex and advanced and not for someone like me with only about a year's worth of Java experience. So far I've read about:
The Fourier Transform - im finding this rather confusing to implement in Java, but apparently the Java Advanced Imaging API has a class for it. Though I'm not sure how to convert the output to an actual result
SIFT algorithm - seems incredibly complex
Histograms - probably the easiest out of all mentioned so far
Pixel grabbing - seems viable but if theres a considerable amount of variation between the two images it doesn't look like it's going to produce any sort of accurate result. I might be wrong?
I also have the idea of pre-processing an image using a Sobel filter first, then comparing it. Problem is the actual comparing part.
So yeah I'm looking to see if anyone has ideas for comparing images in Java. Hoping that there are people here that have done similar projects before. I just want to get some input on viable comparison techniques that arent too hard to implement in Java.
Thanks in advance
Fourier Transform - This can be used to efficiently can compute the cross-correlation, which will tell you how to align the two images and how similar they are, when they are optimally aligned.
Sift descriptors - These can be used to compare local features. They are often used for correspondence analysis and object recognition. (See also SURF)
Histograms - The normalized cross-correlation often yields good results for comparing images on a global level. But since you are just comparing color distributions you could end up declaring an outdoor scene with lots of snow as similar to an indoor scene with lots of white wallpaper...
Pixel grabbing - No idea what this is...
You can get a good overview from this paper. Another field you might to look into is content based image retrieval (CBIR).
Sorry for not being Java specific. HTH.
As a better alternative to simple pixel grabbing, try SSIM. It does require that your images are essentially of the same object from the same angle, however. It's useful if you're comparing images that have been compressed with different algorithms, for example (e.g. JPEG vs JPEG2000). Also, it's a fairly simple approach that you should be able to implement reasonably quickly to see some results.
I don't know of a Java implementation, but there's a C++ implementation using OpenCV. You could try to re-use that (through something like javacv) or just write it from scratch. The algorithm itself isn't that complicated anyway, so you should be able to implement it directly.

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