Grid tracking in distorted images - image-processing

I have two images which are identical except that one of them is slightly distorted (e.g., the image is stretched in the middle.)
I would like to define a fine grid of points on the original image and track their position on the distorted image. Note that the tracking points are arbitrary.
Could anyone please help me find an algorithm that can handle this. I am very new to this field so any elaboration is much appreciated.
The following images are an example for this question.
Original Image:
Distorted Image:
Thanks!

Check out these tools. They both of the ability to automatically or manually add tracking points between multiple images and show the difference.
http://hugin.sourceforge.net/
https://www.ptgui.com/

I see four steps in this process:
finding the tracking points on both images. You can do it manually, or using a so-called interest-point detector.
matching the corresponding points in both images. Again, you can do it manually of using a so-called interest-point descriptor and a matching algorithm.
fitting a deformation model to the point pairs. Many options are possible such as bivariate polynomial or bivariate cubic splines. (You can also think of triangulating the points but the degree of continuity will be poor and artifacts noticeable).
warping the deformed image with this model.
None of this is elementary and there are many possible combinations. I doubt that you will find a ready-made solution. But you can get some inspiration from image stiching software, which use these four steps, with a specific, simple deformation model (homography).
I expect the automatic matching approach to be unreliable due to the symmetry of the shape that implies numerous similar points, causing ambiguity.

Related

How can I transform an image to match a circular model in OpenCV

I'm trying to make a program that can take an image of a dartboard and read the score. So far I can get the position of each dart by comparing it to a model image as you can see here:
However this only works if the input image is practically the same. In this other case the board is slightly in a different perspective so I was thinking maybe I can transform the image to match the model image and then do the process that you can see above.
So my question is: How can I transform this last image to match the shape and pespective of the model dart board with OpenCV?
The dart board is basically planar. Thus, you can model the wanted transformation by a homography. Now you can perform a simple feature extraction and matching like here or if speed is not as important utilize an intensity based parametric alignment algorithm (more accurate).
However, as already mentioned in the comments, it will not be as simple afterwards. The dart flights will (depending on the distortion) most likely cover an area of your board which does not coincide with the actual score. Actually, even with a frontal view it is difficult to say.
I assume you will have to find the point on which the darts stick in your board. Furthermore, I think this will be easier with a view from a certain angle. Maybe, you can fit lines segments just in the area where you detected a difference beforehand.
I don't think comparing an image with the model that was captured using a different subject with a different angle is a good idea. There should be lots of small differences even after perfectly matching them geometrically - like shades, lighting, color differences, etc.
I would just capture an image every time the game begin (reference) and extract the features (straight lines seem good enough) and then after the game, capture an image, subtract the reference, and do blob analysis to find darts.

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.

Comparing similar images as photographs -- detecting difference, image diff

The situation is kind of unique from anything I have been able to find asked already, and is as follows: If I took a photo of two similar images, I'd like to be able to highlight the differing features in the two images. For example the following two halves of a children's spot the difference game:
The differences in the images will be bits missing/added and/or colour change, and the type of differences which would be easily detectable from the original image files by doing nothing cleverer than a pixel-by-pixel comparison. However the fact that they're subject to the fluctuations of light and imprecision of photography, I'll need a far more lenient/clever algorithm.
As you can see, the images won't necessarily line up perfectly if overlaid.
This question is tagged language-agnostic as I expect answers that point me towards relevant algorithms, however I'd also be interested in current implementations if they exist, particularly in Java, Ruby, or C.
The following approach should work. All of these functionalities are available in OpenCV. Take a look at this example for computing homographies.
Detect keypoints in the two images using a corner detector.
Extract descriptors (SIFT/SURF) for the keypoints.
Match the keypoints and compute a homography using RANSAC, that aligns the second image to the first.
Apply the homography to the second image, so that it is aligned with the first.
Now simply compute the pixel-wise difference between the two images, and the difference image will highlight everything that has changed from the first to the second.
My general approach would be to use an optical flow to align both images and perform a pixel by pixel comparison once they are aligned.
However, for the specifics, standard optical flows (OpenCV etc.) are likely to fail if the two images differ significantly like in your case. If that indeed fails, there are recent optical flow techniques that are supposed to work even if the images are drastically different. For instance, you might want to look at the paper about SIFT flows by Ce Liu et al that addresses this problem with sparse correspondences.

how to recognize an same image with different size ?

We as human, could recognize these two images as same image :
In computer, it will be easy to recognize these two image if they are in the same size, so we have to make Preprocessing stage or step before recognize it, like scaling, but if we look deeply to scaling process, we will know that it's not an efficient way.
Now, could you help me to find some way to convert images into objects that doesn't deal with size or pixel location, to be input for recognition method ?
Thanks advance.
I have several ideas:
Let the image have several color thresholds. This way you get large
areas of the same color. The shapes of those areas can be traced with
curves which are math. If you do this for the larger and the smaller
one and see if the curves match.
Try to define key spots in the area. I don't know for sure how
this works but you can look up face detection algoritms. In such
an algoritm there is a math equation for how a face should look.
If you define enough object in such algorithms you can define
multiple objects in the images to see if the object match on the
same spots.
And you could see if the predator algorithm can accept images
of multiple size. If so your problem is solved.
It looks like you assume that human's brain recognize image in computationally effective way, which is rather not true. this algorithm is so complicated that we did not find it. It also takes a large part of your brain to deal with visual data.
When it comes to software there are some scale(or affine) invariant algorithms. One of such algorithms is LeNet 5 neural network.

How to align two different pictures in such a way, that they match as close as possible?

I need to automatically align an image B on top of another image A in such a way, that the contents of the image match as good as possible.
The images can be shifted in x/y directions and rotated up to 5 degrees on z, but they won't be distorted (i.e. scaled or keystoned).
Maybe someone can recommend some good links or books on this topic, or share some thoughts how such an alignment of images could be done.
If there wasn't the rotation problem, then I could simply try to compare rows of pixels with a brute-force method until I find a match, and then I know the offset and can align the image.
Do I need AI for this?
I'm having a hard time finding resources on image processing which go into detail how these alignment-algorithms work.
So what people often do in this case is first find points in the images that match then compute the best transformation matrix with least squares. The point matching is not particularly simple and often times you just use human input for this task, you have to do it all the time for calibrating cameras. Anyway, if you want to fully automate this process you can use feature extraction techniques to find matching points, there are volumes of research papers written on this topic and any standard computer vision text will have a chapter on this. Once you have N matching points, solving for the least squares transformation matrix is pretty straightforward and, again, can be found in any computer vision text, so I'll assume you got that covered.
If you don't want to find point correspondences you could directly optimize the rotation and translation using steepest descent, trouble is this is non-convex so there are no guarantees you will find the correct transformation. You could do random restarts or simulated annealing or any other global optimization tricks on top of this, that would most likely work. I can't find any references to this problem, but it's basically a digital image stabilization algorithm I had to implement it when I took computer vision but that was many years ago, here are the relevant slides though, look at "stabilization revisited". Yes, I know those slides are terrible, I didn't make them :) However, the method for determining the gradient is quite an elegant one, since finite difference is clearly intractable.
Edit: I finally found the paper that went over how to do this here, it's a really great paper and it explains the Lucas-Kanade algorithm very nicely. Also, this site has a whole lot of material and source code on image alignment that will probably be useful.
for aligning the 2 images together you have to carry out image registration technique.
In matlab, write functions for image registration and select your desirable features for reference called 'feature points' using 'control point selection tool' to register images.
Read more about image registration in the matlab help window to understand properly.

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