How to remove a scratch from an image using matlab - image

Let's say I have this image this:
With a black scratch and I want to remove it from my image. I know it is noise. I have tried neighbourhood filter and also gaussian filter but no success.

If you know the location of the scratch, this problem is known as inpainting, and there are very sophisticated algorithms for that. So one approach would be to detect the scratch as good as you can, then use a standard inpainting algorithm on it. I've played with your image in Mathematica a little:
First I applied a median filter to the image. As you found out yourself, this removes the scratch, but also removes a lot of detail. The difference between median and original image is a good indicator for your scratch, though:
When I binarize this image with a manually selected threshold, I get a quick&dirty scratch detector:
If you have more knowledge about what your scratches look like, you can improve this detector a lot. e.g. are the scratches always dark? Do they always have high contrast? Are they always smooth curves, i.e. is their curvature always low? - Each of these properties can be measured somehow, so you'd combine these measurements to a single image and binarize that.
One small improvement is to remove small components:
This is still not perfect, but the result is good enough to use it as an inpainting mask:
This will remove some detail, too, but the differences are harder to spot.
Full Mathematica code:
difference = ImageDifference[sourceImage, MedianFilter[sourceImage, 2]];
mask = DeleteSmallComponents[Binarize[difference, 0.15], 15];
Inpaint[sourceImage, mask]
EDIT:
If you're don't have access to a standard inpainting algorithm (like Navier Stokes or Telea), a poor man's algorithm would be to use the median filtered image in those regions where the mask is 1 (probably something like mask*sourceImage + (1-mask)*medialFilteredImage in Matlab). Depending on the image data, the difference might not be worth the extra effort of a "real" inpainting algorithm:

A filter for Avisynth and a plugin for VirtualDub (my two favourite video editing tools). It will hardly get better than these two (You can learn from them if you really need to implement it yourself).

My result using median filter with ImageJ

Related

image segmentation for grains

I am trying to separate the different kinds of grains in an image. And sometimes the image also contains some impurity substance which need to be considered as an extra type.
here are some example images:
corn and beans
long rice and wheat
I tried to find a general method for the different pics, but the result is not good enough.
I used flood-fill and some gradient method to get the regions, and try to use clustering method to classify the contains, but the feature selection is a hard problem, I try gabor filter, but it cannot get me a clear boundary, and so does the classification method such as kmeans.
Any ideas about segmentation, getting the contours or classification will be appreciated. thanks!
I try to post some more pics of my current results, but I am sorry that there is the 2 pics restriction for the beginner here.
It's almost a craft work dealing with image processing problems. I would suggest you to use a robust library (such as OpenCV of course) and use cvFindContours function to identify the contours. Also, search for mathematical morphology. Basic operators such as erosion and dilation may help you since areas of foreground pixels shrink in size, and holes within those areas become larger and vice-versa. Working with color segmentation is also helpful but you might have some troubles since grain color is not uniform. Lastly, feature extraction is another way out. Scale-invariant feature transform can be used to identify every single grain on the image, based on the fact that it is invariant to linear transformations and illumination issues. Hope it helps.

Comparing and matching images

I am looking to compare a new image to a database of images, and then output the higher "similarity". The images I want to compare are similar, but the problem is though because they're not pixel by pixel equal. I've tried to use BoW (Bag Of Words) model already (I implemented it in Matlab, but I'm willing to learn openCV), as per recommendation, I tried various implementations without success, the best correct rate I got was 30%, which is something really low.
Let me show you what I am talking about: imgur gallery with 5 example images. I want to detect that the four initial images are equal, and the fifth one is different. I wouldn't mind only detecting that the ones with the same angle orientation are equal, though. (In my example 2, 3 and 4)
So, that being said, are there any better methods than BoW for that? Or perhaps BoW should be enough if I implemented in a different way?
Thanks in advance.
I would try some keypoint based approach using randomized trees. Has the advantage that point extraction is local and adapts to many sort of transformations (Like the ones your pictures show). The advantage of being local is that they are more robust against changes in illumination across the scene, occlusions, and so on.
Also, take a look at the SURF algorithm.

Novel fitness measure for evolutionary image matching simulation

I'm sure many people have already seen demos of using genetic algorithms to generate an image that matches a sample image. You start off with noise, and gradually it comes to resemble the target image more and more closely, until you have a more-or-less exact duplicate.
All of the examples I've seen, however, use a fairly straightforward pixel-by-pixel comparison, resulting in a fairly predictable 'fade in' of the final image. What I'm looking for is something more novel: A fitness measure that comes closer to what we see as 'similar' than the naive approach.
I don't have a specific result in mind - I'm just looking for something more 'interesting' than the default. Suggestions?
I assume you're talking about something like Roger Alsing's program.
I implemented a version of this, so I'm also interested in alternative fitness functions, though I'm coming at it from the perspective of improving performance rather than aesthetics. I expect there will always be some element of "fade-in" due to the nature of the evolutionary process (though tweaking the evolutionary operators may affect how this looks).
A pixel-by-pixel comparison can be expensive for anything but small images. For example, the 200x200 pixel image I use has 40,000 pixels. With three values per pixel (R, G and B), that's 120,000 values that have to be incorporated into the fitness calculation for a single image. In my implementation I scale the image down before doing the comparison so that there are fewer pixels. The trade-off is slightly reduced accuracy of the evolved image.
In investigating alternative fitness functions I came across some suggestions to use the YUV colour space instead of RGB since this is more closely aligned with human perception.
Another idea that I had was to compare only a randomly selected sample of pixels. I'm not sure how well this would work without trying it. Since the pixels compared would be different for each evaluation it would have the effect of maintaining diversity within the population.
Beyond that, you are in the realms of computer vision. I expect that these techniques, which rely on feature extraction, would be more expensive per image, but they may be faster overall if they result in fewer generations being required to achieve an acceptable result. You might want to investigate the PerceptualDiff library. Also, this page shows some Java code that can be used to compare images for similarity based on features rather than pixels.
A fitness measure that comes closer to what we see as 'similar' than the naive approach.
Implementing such a measure in software is definitely nontrivial. Google 'Human vision model', 'perceptual error metric' for some starting points. You can sidestep the issue - just present the candidate images to a human for selecting the best ones, although it might be a bit boring for the human.
I haven't seen such a demo (perhaps you could link one). But a couple proto-ideas from your desription that may trigger an interesting one:
Three different algorithms running in parallel, perhaps RGB or HSV.
Move, rotate, or otherwise change the target image slightly during the run.
Fitness based on contrast/value differences between pixels, but without knowing the actual colour.
...then "prime" a single pixel with the correct colour?
I would agree with other contributors that this is non-trivial. I'd also add that it would be very valuable commercially - for example, companies who wish to protect their visual IP would be extremely happy to be able to trawl the internet looking for similar images to their logos.
My naïve approach to this would be to train a pattern recognizer on a number of images, each generated from the target image with one or more transforms applied to it: e.g. rotated a few degrees either way; a translation a few pixels either way; different scales of the same image; various blurs and effects (convolution masks are good here). I would also add some randomness noise to the each of the images. The more samples the better.
The training can all be done off-line, so shouldn't cause a problem with runtime performance.
Once you've got a pattern recognizer trained, you can point it at the the GA population images, and get some scalar score out of the recognizers.
Personally, I like Radial Basis Networks. Quick to train. I'd start with far too many inputs, and whittle them down with principle component analysis (IIRC). The outputs could just be a similiarity measure and dissimilarity measure.
One last thing; whatever approach you go for - could you blog about it, publish the demo, whatever; let us know how you got on.

Detecting if two images are visually identical

Sometimes two image files may be different on a file level, but a human would consider them perceptively identical. Given that, now suppose you have a huge database of images, and you wish to know if a human would think some image X is present in the database or not. If all images had a perceptive hash / fingerprint, then one could hash image X and it would be a simple matter to see if it is in the database or not.
I know there is research around this issue, and some algorithms exist, but is there any tool, like a UNIX command line tool or a library I could use to compute such a hash without implementing some algorithm from scratch?
edit: relevant code from findimagedupes, using ImageMagick
try $image->Sample("160x160!");
try $image->Modulate(saturation=>-100);
try $image->Blur(radius=>3,sigma=>99);
try $image->Normalize();
try $image->Equalize();
try $image->Sample("16x16");
try $image->Threshold();
try $image->Set(magick=>'mono');
($blob) = $image->ImageToBlob();
edit: Warning! ImageMagick $image object seems to contain information about the creation time of an image file that was read in. This means that the blob you get will be different even for the same image, if it was retrieved at a different time. To make sure the fingerprint stays the same, use $image->getImageSignature() as the last step.
findimagedupes is pretty good. You can run "findimagedupes -v fingerprint images" to let it print "perceptive hash", for example.
Cross-correlation or phase correlation will tell you if the images are the same, even with noise, degradation, and horizontal or vertical offsets. Using the FFT-based methods will make it much faster than the algorithm described in the question.
The usual algorithm doesn't work for images that are not the same scale or rotation, though. You could pre-rotate or pre-scale them, but that's really processor intensive. Apparently you can also do the correlation in a log-polar space and it will be invariant to rotation, translation, and scale, but I don't know the details well enough to explain that.
MATLAB example: Registering an Image Using Normalized Cross-Correlation
Wikipedia calls this "phase correlation" and also describes making it scale- and rotation-invariant:
The method can be extended to determine rotation and scaling differences between two images by first converting the images to log-polar coordinates. Due to properties of the Fourier transform, the rotation and scaling parameters can be determined in a manner invariant to translation.
Colour histogram is good for the same image that has been resized, resampled etc.
If you want to match different people's photos of the same landmark it's trickier - look at haar classifiers. Opencv is a great free library for image processing.
I don't know the algorithm behind it, but Microsoft Live Image Search just added this capability. Picasa also has the ability to identify faces in images, and groups faces that look similar. Most of the time, it's the same person.
Some machine learning technology like a support vector machine, neural network, naive Bayes classifier or Bayesian network would be best at this type of problem. I've written one each of the first three to classify handwritten digits, which is essentially image pattern recognition.
resize the image to a 1x1 pixle... if they are exact, there is a small probability they are the same picture...
now resize it to a 2x2 pixle image, if all 4 pixles are exact, there is a larger probability they are exact...
then 3x3, if all 9 pixles are exact... good chance etc.
then 4x4, if all 16 pixles are exact,... better chance.
etc...
doing it this way, you can make efficiency improvments... if the 1x1 pixel grid is off by a lot, why bother checking 2x2 grid? etc.
If you have lots of images, a color histogram could be used to get rough closeness of images before doing a full image comparison of each image against each other one (i.e. O(n^2)).
There is DPEG, "The" Duplicate Media Manager, but its code is not open. It's a very old tool - I remember using it in 2003.
You could use diff to see if they are REALLY different.. I guess it will remove lots of useless comparison. Then, for the algorithm, I would use a probabilistic approach.. what are the chances that they look the same.. I'd based that on the amount of rgb in each pixel. You could also find some other metrics such as luminosity and stuff like that.

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I would like to compare a screenshot of one application (could be a Web page) with a previously taken screenshot to determine whether the application is displaying itself correctly. I don't want an exact match comparison, because the aspect could be slightly different (in the case of a Web app, depending on the browser, some element could be at a slightly different location). It should give a measure of how similar are the screenshots.
Is there a library / tool that already does that? How would you implement it?
This depends entirely on how smart you want the algorithm to be.
For instance, here are some issues:
cropped images vs. an uncropped image
images with a text added vs. another without
mirrored images
The easiest and simplest algorithm I've seen for this is just to do the following steps to each image:
scale to something small, like 64x64 or 32x32, disregard aspect ratio, use a combining scaling algorithm instead of nearest pixel
scale the color ranges so that the darkest is black and lightest is white
rotate and flip the image so that the lighest color is top left, and then top-right is next darker, bottom-left is next darker (as far as possible of course)
Edit A combining scaling algorithm is one that when scaling 10 pixels down to one will do it using a function that takes the color of all those 10 pixels and combines them into one. Can be done with algorithms like averaging, mean-value, or more complex ones like bicubic splines.
Then calculate the mean distance pixel-by-pixel between the two images.
To look up a possible match in a database, store the pixel colors as individual columns in the database, index a bunch of them (but not all, unless you use a very small image), and do a query that uses a range for each pixel value, ie. every image where the pixel in the small image is between -5 and +5 of the image you want to look up.
This is easy to implement, and fairly fast to run, but of course won't handle most advanced differences. For that you need much more advanced algorithms.
The 'classic' way of measuring this is to break the image up into some canonical number of sections (say a 10x10 grid) and then computing a histogram of RGB values inside of each cell and compare corresponding histograms. This type of algorithm is preferred because of both its simplicity and it's invariance to scaling and (small!) translation.
Use a normalised colour histogram. (Read the section on applications here), they are commonly used in image retrieval/matching systems and are a standard way of matching images that is very reliable, relatively fast and very easy to implement.
Essentially a colour histogram will capture the colour distribution of the image. This can then be compared with another image to see if the colour distributions match.
This type of matching is pretty resiliant to scaling (once the histogram is normalised), and rotation/shifting/movement etc.
Avoid pixel-by-pixel comparisons as if the image is rotated/shifted slightly it may lead to a large difference being reported.
Histograms would be straightforward to generate yourself (assuming you can get access to pixel values), but if you don't feel like it, the OpenCV library is a great resource for doing this kind of stuff. Here is a powerpoint presentation that shows you how to create a histogram using OpenCV.
Don't video encoding algorithms like MPEG compute the difference between each frame of a video so they can just encode the delta? You might look into how video encoding algorithms compute those frame differences.
Look at this open source image search application http://www.semanticmetadata.net/lire/. It describes several image similarity algorighms, three of which are from the MPEG-7 standard: ScalableColor, ColorLayout, EdgeHistogram and Auto Color Correlogram.
You could use a pure mathematical approach of O(n^2), but it will be useful only if you are certain that there's no offset or something like that. (Although that if you have a few objects with homogeneous coloring it will still work pretty well.)
Anyway, the idea is the compute the normalized dot-product of the two matrices.
C = sum(Pij*Qij)^2/(sum(Pij^2)*sum(Qij^2)).
This formula is actually the "cosine" of the angle between the matrices (wierd).
The bigger the similarity (lets say Pij=Qij), C will be 1, and if they're completely different, lets say for every i,j Qij = 1 (avoiding zero-division), Pij = 255, then for size nxn, the bigger n will be, the closer to zero we'll get. (By rough calculation: C=1/n^2).
You'll need pattern recognition for that. To determine small differences between two images, Hopfield nets work fairly well and are quite easy to implement. I don't know any available implementations, though.
A ruby solution can be found here
From the readme:
Phashion is a Ruby wrapper around the pHash library, "perceptual hash", which detects duplicate and near duplicate multimedia files
How to measure similarity between two images entirely depends on what you would like to measure, for example: contrast, brightness, modality, noise... and then choose the best suitable similarity measure there is for you. You can choose from MAD (mean absolute difference), MSD (mean squared difference) which are good for measuring brightness...there is also available CR (correlation coefficient) which is good in representing correlation between two images. You could also choose from histogram based similarity measures like SDH (standard deviation of difference image histogram) or multimodality similarity measures like MI (mutual information) or NMI (normalized mutual information).
Because this similarity measures cost much in time, it is advised to scale images down before applying these measures on them.
I wonder (and I'm really just throwing the idea out there to be shot down) if something could be derived by subtracting one image from the other, and then compressing the resulting image as a jpeg of gif, and taking the file size as a measure of similarity.
If you had two identical images, you'd get a white box, which would compress really well. The more the images differed, the more complex it would be to represent, and hence the less compressible.
Probably not an ideal test, and probably much slower than necessary, but it might work as a quick and dirty implementation.
You might look at the code for the open source tool findimagedupes, though it appears to have been written in perl, so I can't say how easy it will be to parse...
Reading the findimagedupes page that I liked, I see that there is a C++ implementation of the same algorithm. Presumably this will be easier to understand.
And it appears you can also use gqview.
Well, not to answer your question directly, but I have seen this happen. Microsoft recently launched a tool called PhotoSynth which does something very similar to determine overlapping areas in a large number of pictures (which could be of different aspect ratios).
I wonder if they have any available libraries or code snippets on their blog.
to expand on Vaibhav's note, hugin is an open-source 'autostitcher' which should have some insight on the problem.
There's software for content-based image retrieval, which does (partially) what you need. All references and explanations are linked from the project site and there's also a short text book (Kindle): LIRE
You can use Siamese Network to see if the two images are similar or dissimilar following this tutorial. This tutorial cluster the similar images whereas you can use L2 distance to measure the similarity of two images.
Beyond Compare has pixel-by-pixel comparison for images, e.g.,
If this is something you will be doing on an occasional basis and doesn't need automating, you can do it in an image editor that supports layers, such as Photoshop or Paint Shop Pro (probably GIMP or Paint.Net too, but I'm not sure about those). Open both screen shots, and put one as a layer on top of the other. Change the layer blending mode to Difference, and everything that's the same between the two will become black. You can move the top layer around to minimize any alignment differences.
Well a really base-level method to use could go through every pixel colour and compare it with the corresponding pixel colour on the second image - but that's a probably a very very slow solution.

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