How to match texture similarity in images? - image-processing

What are the ways in which to quantify the texture of a portion of an image? I'm trying to detect areas that are similar in texture in an image, sort of a measure of "how closely similar are they?"
So the question is what information about the image (edge, pixel value, gradient etc.) can be taken as containing its texture information.
Please note that this is not based on template matching.
Wikipedia didn't give much details on actually implementing any of the texture analyses.

Do you want to find two distinct areas in the image that looks the same (same texture) or match a texture in one image to another?
The second is harder due to different radiometry.
Here is a basic scheme of how to measure similarity of areas.
You write a function which as input gets an area in the image and calculates scalar value. Like average brightness. This scalar is called a feature
You write more such functions to obtain about 8 - 30 features. which form together a vector which encodes information about the area in the image
Calculate such vector to both areas that you want to compare
Define similarity function which takes two vectors and output how much they are alike.
You need to focus on steps 2 and 4.
Step 2.: Use the following features: std() of brightness, some kind of corner detector, entropy filter, histogram of edges orientation, histogram of FFT frequencies (x and y directions). Use color information if available.
Step 4. You can use cosine simmilarity, min-max or weighted cosine.
After you implement about 4-6 such features and a similarity function start to run tests. Look at the results and try to understand why or where it doesnt work. Then add a specific feature to cover that topic.
For example if you see that texture with big blobs is regarded as simmilar to texture with tiny blobs then add morphological filter calculated densitiy of objects with size > 20sq pixels.
Iterate the process of identifying problem-design specific feature about 5 times and you will start to get very good results.

I'd suggest to use wavelet analysis. Wavelets are localized in both time and frequency and give a better signal representation using multiresolution analysis than FT does.
Thre is a paper explaining a wavelete approach for texture description. There is also a comparison method.
You might need to slightly modify an algorithm to process images of arbitrary shape.

An interesting approach for this, is to use the Local Binary Patterns.
Here is an basic example and some explanations : http://hanzratech.in/2015/05/30/local-binary-patterns.html
See that method as one of the many different ways to get features from your pictures. It corresponds to the 2nd step of DanielHsH's method.

Related

How does multiscale feature matching work? ORB, SIFT, etc

When reading about classic computer vision I am confused on how multiscale feature matching works.
Suppose we use an image pyramid,
How do you deal with the same feature being detected at multiple scales? How do you decide which to make a deacriptor for?
How do you connected features between scales? For example let's say you have a feature detected and matched to a descriptor at scale .5. Is this location then translated to its location in the initial scale?
I can share something about SIFT that might answer question (1) for you.
I'm not really sure what you mean in your question (2) though, so please clarify?
SIFT (Scale-Invariant Feature Transform) was designed specifically to find features that remains identifiable across different image scales, rotations, and transformations.
When you run SIFT on an image of some object (e.g. a car), SIFT will try to create the same descriptor for the same feature (e.g. the license plate), no matter what image transformation you apply.
Ideally, SIFT will only produce a single descriptor for each feature in an image.
However, this obviously doesn't always happen in practice, as you can see in an OpenCV example here:
OpenCV illustrates each SIFT descriptor as a circle of different size. You can see many cases where the circles overlap. I assume this is what you meant in question (1) by "the same feature being detected at multiple scales".
And to my knowledge, SIFT doesn't really care about this issue. If by scaling the image enough you end up creating multiple descriptors from "the same feature", then those are distinct descriptors to SIFT.
During descriptor matching, you simply brute-force compare your list of descriptors, regardless of what scale it was generated from, and try to find the closest match.
The whole point of SIFT as a function, is to take in some image feature under different transformations, and produce a similar numerical output at the end.
So if you do end up with multiple descriptors of the same feature, you'll just end up having to do more computational work, but you will still essentially match the same pair of feature across two images regardless.
Edit:
If you are asking about how to convert coordinates from the scaled images in the image pyramid back into original image coordinates, then David Lowe's SIFT paper dedicates section 4 on that topic.
The naive approach would be to simply calculate the ratios of the scaled coordinates vs the scaled image dimensions, then extrapolate back to the original image coordinates and dimensions. However, this is inaccurate, and becomes increasingly so as you scale down an image.
Example: You start with a 1000x1000 pixel image, where a feature is located at coordinates (123,456). If you had scaled down the image to 100x100 pixel, then the scaled keypoint coordinate would be something like (12,46). Extrapolating back to the original coordinates naively would give the coordinates (120,460).
So SIFT fits a Taylor expansion of the Difference of Gaussian function, to try and locate the original interesting keypoint down to sub-pixel levels of accuracy; which you can then use to extrapolate back to the original image coordinates.
Unfortunately, the math for this part is quite beyond me. But if you are fluent in math, C programming, and want to know specifically how SIFT is implemented; I suggest you dive into Rob Hess' SIFT implementation, lines 467 through 648 is probably the most detailed you can get.

Image similarity of apartment photos

I want to design an algorithm that would find matches in images of the same apartment, when put up by different real estate agents.
Photos are relatively taken in similar time so the interior of the rooms should not change that much but of course every guys takes different pictures from different angles, etc.
(TLDR; a apartment goes for sale, and different real estate guys come in and make their own pictures, and I want to know if the given pictures from various guys are of the same place)
I know that image processing and recognition algorithm selections highly depend on the use case, so could you point me in correct direction given my use-case?
http://reality.bazos.sk/inzerat/56232813/Prenajom-1-izb-bytu-v-sirsom-centre.php
http://reality.bazos.sk/inzerat/56371292/-PRENAJOM-krasny-1i-byt-rekonstr-Kupeckeho-Ruzinov-BA-II.php
You can actually use Clarifai's Custom Training API endpoint, fairly simple and straightforward. All you would have to do is train the initial image and then compare the second to it. If the probability is high, it is likely the same apartment. For example:
In javascript, to declare a positive it is:
clarifai.positive('http://example.com/apartment1.jpg', 'firstapartment', callback);
And a negative is:
clarifai.negative('http://example.com/notapartment1.jpg', 'firstapartment', callback);
You don't necessarily have to do a negative, but it could only help. Then, when you are comparing images to the first aparment, you do:
clarifai.predict('http://example.com/someotherapartment.jpg', 'firstapartment', callback);
This will give you a probability regarding the likeness of the photo to what you've trained ('firstapartment'). This API is basically doing machine learning without the hassle of the actual machine. Clarifai's API also has a tagging input that is extremely accurate with some basic tags. The API is free for a certain number of calls/month. Definitely worth it to check out for this case.
As user Shaked mentioned in a comment, this is a difficult problem. Even if you knew the position and orientation of each camera in space, and also the characteristics of each camera, it wouldn't be a trivial problem to match the images.
A "bag of words" (BoW) approach may be of use here. Rather than try to identify specific objects and/or deduce the original 3D scene, you determine what "feature descriptors" can distinguish objects from one another in your image sets.
https://en.wikipedia.org/wiki/Bag-of-words_model_in_computer_vision
Imagine you could describe the two images by the relative locations of textures and colors:
horizontal-ish line segments at far left
red blob near center left
green clumpy thing at bottom left
bright round object near top left
...
then for a reasonably constrained set of images (e.g. photos just within a certain zip code), you may be able to yield a good match between the two images above.
The Wikipedia article on BoW may look a bit daunting, but I think if you hunt around you'll find an article that describes "bag of words" for image processing clearly. I've seen a very good demo of a BoW approach used to identify objects such as boats and delivery vans in arbitrary video streams, and it worked impressively well. I wish I had a copy of the presentation to pass along.
If you don't suspect the image to change much, you could try the standard first step of any standard structure-from-motion algorithm to establish a notion of similarity between a pair of images. Any pair of images are similar if they contain a number of matching image features larger than a threshold which satisfy the geometrical constraint of the scene as well. For a general scene, that geometrical constraint is given by a Fundamental Matrix F computed using a subset of matching features.
Here are the steps. I have inserted the opencv method for each step, but you could write your methods too:
Read the pair of images. Use img = cv2.imread(filename).
Use SIFT/SURF to detect image features/descriptors in both images.
sift = cv2.xfeatures2d.SIFT_create()
kp, des = sift.detectAndCompute(img,None)
Match features using the descriptors.
bf = cv2.BFMatcher(cv2.NORM_HAMMING, crossCheck=True)
matches = bf.match(des1,des2)
Use RANSAC to compute funamental matrix.
cv2.findFundamentalMatrix(pts1, pts2, cv2.FM_RANSAC, 3, 0.99, mask)
mask contains all the inliers. Simply count them to determine if the number of matches satisfying geometrical constraint is large enough.
CAUTION: In case of a planar scene, we use homography instead of a fundamental matrix and the steps described above work out pretty nicely because homography takes a point to a corresponding point in the other image. However, Fundamental matrix takes a point to the corresponding epipolar line in the other image, which makes the entire process a bit less stable. So I would recommend trying these steps a few more times with a little bit of jitter to the feature locations and collating the evidence over more than one trial to make the decision. You can also use more advanced steps to introduce robustness to this process but only if the steps described above don't yield the results you need.

Detecting a pattern of dark/bright bands in an image

I'm trying to detect a pattern like this in some images
The actual image looks something like this
It could be scaled and/or rotated. Is there a way to do that efficiently without resorting to neural nets or some learning algorithm? Can some detection be done based on the value gradient for example (dark-bright-dark-bright-dark)?
input image is MxN (in your example M<N ):
take mean RGB image
mean Y to get 1xN vector
derive
abs
threshold
calculate the distance between peaks.
search for a location where the ratio between the distances is as expected (from what i see in your example ~ 1:7:1)
if a place found, validate the colors in the middle of the distance (from your example should be white-black-white)
You might be able to use Gabor Filters at varying orientations, and do standard threshold to identify objects.
If you know the frequency of the pattern you could try using a bandpass filter to isolate objects at that frequency. If it is a very strong frequency, you might be able to identify it in the image's Fourier transform.
Without much other knowledge about what you are looking for in your image, it will be very difficult to identify a specific repeating pattern.

Shape context matching in OpenCV

Have OpenCV implementation of shape context matching? I've found only matchShapes() function which do not work for me. I want to get from shape context matching set of corresponding features. Is it good idea to compare and find rotation and displacement of detected contour on two different images.
Also some example code will be very helpfull for me.
I want to detect for example pink square, and in the second case pen. Other examples could be squares with some holes, stars etc.
The basic steps of Image Processing is
Image Acquisition > Preprocessing > Segmentation > Representation > Recognition
And what you are asking for seems to lie within the representation part os this general algorithm. You want some features that descripes the objects you are interested in, right? Before sharing what I've done for simple hand-gesture recognition, I would like you to consider what you actually need. A lot of times simplicity will make it a lot easier. Consider a fixed color on your objects, consider background subtraction (these two main ties to preprocessing and segmentation). As for representation, what features are you interested in? and can you exclude the need of some of these features.
My project group and I have taken a simple approach to preprocessing and segmentation, choosing a green glove for our hand. Here's and example of the glove, camera and detection on the screen:
We have used a threshold on defects, and specified it to find defects from fingers, and we have calculated the ratio of a rotated rectangular boundingbox, to see how quadratic our blod is. With only four different hand gestures chosen, we are able to distinguish these with only these two features.
The functions we have used, and the measurements are all available in the documentation on structural analysis for OpenCV, and for acces of values in vectors (which we've used a lot), can be found in the documentation for vectors in c++
I hope you can use the train of thought put into this; if you want more specific info I'll be happy to comment, Enjoy.

Why can fourier transform be used for image recognization while being sensitive to noises?

As we know Fourier Transform is sensitive to noises(like salt and peppers),
how can it still be used for image recognization?
Is there a FT expert here?
Update to actually answer the question you asked... :) Pre-process the image with a non-linear filter to suppress the salt & pepper noise. Median filter maybe?
Basic lesson on FFTs on matched filters follows...
The classic way of detecting a smaller image within a larger image is the matched filter. Essentially, this involves doing a cross correlation of the larger image with the smaller image (the thing you're trying to recognize).
For every position in the larger image
Overlay the smaller image on the larger image
Multiply all corresponding pixels
Sum the results
Put that sum in this position in the filtered image
The matched filter is optimal where the only noise in the larger image is white noise.
This IS computationally slow, but it can be decomposed into FFT (fast Fourier transform) operations, which are much more efficient. There are much more sophisticated approaches to image matching that tolerate other types of noise much better than the matched filter does. But few are as efficient as the matched filter implemented using FFTs.
Google "matched filter", "cross correlation" and "convolution filter" for more.
For example, here's one brief explanation that also points out the drawbacks of this very oldschool image matching approach: http://www.dspguide.com/ch24/6.htm
Not sure exactly what you're asking. If you are asking about how FFT can be used for image recognition, here are some thoughts.
FFT can be used to perform image "classification". It can't be used to recognize different faces or objects, but it can be used to classify the type of image. FFT calculates the spacial frequency content of the image. So for example, natural scene, face, city scene, etc. will have different FFTs. Therefore you can classify image or even within image (e.g. aerial photo to classify terrain).
Also, FFT is used in pre-processing for image recognition. It can be used for OCR (optical character recognition) to rotate the scanned image into correct orientation. FFT of typed text has a strong orientation. Same thing for parts inspection in industrial automation.
I don't think you'll find many methods in use that rely on Fourier Transforms for image recognition.
In the case of salt and pepper noise, it can be considered high frequency noise, and thus you could low pass filter your FFT before making a comparison with the target image.
I would imagine that it would work, but that different images that are somewhat similar (like both are photographs taken outside) would register as being the same image.

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