Detect a 2 x 3 Matrix of white dots in an image - computer-vision

I want to locate a service robot via infrared landmarks. The idea is to detect two landmarks, get the distance to the landmarks and calculate the robots position from these informations (the position of the landmarks are known).
For this I have built an artificial 2x3 matrix of IR LEDs, which are visible in the robots infrared camera image (shown in the image below).
As the first step, I want to detect a single landmark in a picture and get it's x-y coordinates. I can use these coordinates in the future to get the distance from the depth-image provided.
My first approach was to convert the image to a black and white image. Then I tried to filter out different cluster of points (which i dilated and contoured in the first place). I couldn't succeed with this method.
Now I wonder if there are any pattern recognition/computer vision methods which can help me to quite "easily" detect the pattern.
I've added a picture of the infrared image with the landmark in it and a converted black/white image.
a) Which method can help me to solve this problem?
b) Should I use a 3x3 Matrix or any other geometric form instead of the 2x3 Matrix ?
IR-Image
Black-White Image

A direct answer:
1) find all small circles in the image; 2) look among these small circles for ones that are the same size and close together, and, say, form parallel lines.
The reason for this approach is that you have coded the robot with a specific pattern of small objects. Therefore, look for the objects and then look for the pattern. (If the orientation and size wouldn't change, then you could just look for a sub-image within the larger image, but because it can, you need to look for elements of the pattern that remain consistent with motion in the 3D space, that is, the parallel lines.)
This will work in the example images, but to know whether this will work more generally, we need to know more than you told us: It depends on whether the variation in the images of the matrix and the variations in the background will let this be enough to distinguish between them. If not, maybe you need a more clever algorithm or maybe a different pattern of lights. In the extreme case, it's obvious that if you had another 2x3 matric around, it's not enough. It all depends on the variation of the object to be identified and the variations within the background scene, and because you don't tell us either of these things, it's hard to say the best way, what's good enough, what's a better way, etc.
If you have the choice, and here it sound like you do, good data is better than clever analysis. For this problem, I'd call good data to be anything that clearly distinguishes the object from the background. You need to think of it this way, and look at what the background is, and all the different perspectives on the lights that are possible, and make sure these can never be confused.
For example, if you have a lot of control over this, and enough time, temporal variations are often the easiest. Turning the lights (or a subset of the lights) on and off, etc, and then looking for the expected temporal variation is often the surest way to distinguish signal from noise — but really, this again is just making an assumption about the background and foreground (ie, that the background won't vary with some particular time pattern).

Related

how to detect the coordinates of certain points on image

I'm using the ORB algorithm to detect and get the coordinates of the crossings of rope shown in the image, which is represented by the red dot. I want to detect the coordinates of the four points surrounding the crossing represented by the blue dots. All the four points have the same distance from the red spot.
Any idea how to get their coordinates by getting use of the red spot coordinate.
Thank you in Advance
Although you're using ORB, you're still going to need an algorithm to segment the rope from the background, or at least some technique to identify image chunks that belong to the rope and that are equidistant from the red dot. There are a number of options to explore.
It's important to consider your lighting & imaging as separate problems to be solved if this is meant to be a real-world application. This looks a bit like a problem for a class rather than for a application you'll sell and support, but you should still consider lighting:
Will your algorithm(s) still work when light level is reduced?
How will detection be affected by changes in camera pose relative to the surface where the rope will be located?
If you'll be detecting "black" rope, will the algorithm also be required to detect rope of different colors? dirty rope? rope on different backgrounds?
Since you're object of interest is rope, you have to consider a class of algorithms suitable for detection of non-rigid objects. Always consider the simplest solution first!
Connected Components
Connected components labeling is a traditional image processing algorithm and still suitable as the starting point for many applications. The last I knew, this was implemented in OpenCV as findContours(). This can also be called "blob finding" or some variant thereof.
https://en.wikipedia.org/wiki/Connected-component_labeling
https://docs.opencv.org/2.4/modules/imgproc/doc/structural_analysis_and_shape_descriptors.html?highlight=findcontours
Depending on lighting, you may have to take different steps to binarize the image before running connected components. As a start, convert the color image to grayscale, which will simplify the task significantly.
Try a manual threshold since you can quickly test a number of values to see the effect. Don't be too discouraged if the binarization isn't quite right--this can often be fixed with preprocessing.
If a range of manual thresholds works (e.g. 52 - 76 in an 8-bit grayscale range), then use an algorithm that will automatically calculate the threshold for you: Otsu, entropy-based methods, etc., will all offer comparable performance. Whichever technique works best, the code/algorithm can be tweaked further to optimize for your rope application.
If thresholding and binarization don't work--which for your rope application seems unlikely, at least how you've presented it--then switch to thinking in terms of gradient-based (edge-based, energy-based) techniques.
But assuming you can separate the rope from the background, you're still going to need a method to start at the red dot [within the rope] and move equal distances out to the blue points. More about that later after a discussion of other rope segmentation methods.
Note: connected components labeling can work in scenarios beyond just binarizing black & white images. If you can create a texture field or some other 2D representation of the image that makes it possible to distinguish the black rope from the relatively light background, you may be able to use a connected components algorithm. (Finding a "more complicated" or "more modern" algorithm isn't necessarily going to be the right approach.)
In a binarized image, blobs can be nested: on a white background you can have several black blobs, inside of one or more of which are white blobs, inside of which are black blobs, etc. An earlier version of OpenCV handled this reasonably well. (OpenCV is a nice starting point, and a touchpoint for many, but for a number of reasons it doesn't always compare favorably to other open source and commercial packages; popularity notwithstanding, OpenCV has some issues.)
Once you have a "blob" (a 4-connected region of pixels) in a 2D digital image, you can treat the blob as an object, at which point you have a number of options:
Edge tracing: trace around the inside and outside edges of the blob. From what I recall, OpenCV does (or at least should) have some relatively straightforward method to get the edges.
Split the blob into component blobs, each of which can be treated separately
Convert the blob to a polygon
...
A connected components algorithm should be high on the list of techniques to try if you have a non-rigid object.
Boolean Operations
Once you have the rope as a connected component (and possibly even without this), you can use boolean image operations to find the spots at the blue dots in your image:
Create a circular region in data, or even in the image
Find the intersection of the circle (an annulus) and the black region representing the rope. Using your original image, you should have four regions.
Find the center point of the intersection regions.
You could even try this without using connected components at all, but using connected components as part of the solution could make it more robust.
Polygon Simplification
If you have a blob, which in your application would be a connected set of black pixels representing the rope on the floor, then you can consider converting this blob to one or more polygons for further processing. There are advantages to working with polygons.
If you consider only the outside boundary of the rope, then you can see that the set of pixels defining the boundary represents a polygon. It's a polygon with a lot of points, and not a convex polygon, but a polygon nonetheless.
To simplify the polygon, you can use an algorithm such as Ramer-Douglas-Puecker:
https://en.wikipedia.org/wiki/Ramer%E2%80%93Douglas%E2%80%93Peucker_algorithm
Once you have a simplified polygon, you can try a few techniques to render useful data from the polygon
Angle Bisector Network
Triangulation (e.g. using ear clipping)
Triangulation is typically dependent on initial conditions, so the resulting triangulation for slighting different polygons (that is, rope -> blob -> polygon -> simplified polygon). So in your application it might be useful to triangulate the dark rope region, and then to connect the center of one triangle to the center of the next nearest triangle. You'll also have to deal with crossings, such as the rope overlap. Ultimately this can yield a "skeletonization" of the rope. Speaking of which...
Skeletonization
If the rope problem was posed to you as a class exercise, then it may have been a prompt to try skeletonization. You can read about it here:
https://en.wikipedia.org/wiki/Topological_skeleton
Skeletonization and thinning have their own problems to solve, but you should dig into them a bit and see those problems themselves.
The Medial Axis Transform (MAT) is a related concept. Long story there.
Edge-based techniques
There are a number of techniques to generate "edge images" based on edge strength, energy, entropy, etc. Making them robust takes a little effort. If you've had academic training in image processing you've likely heard of Harris, Sobel, Canny, and similar processing methods--none are magic bullets, but they're simple and dependable and will yield data you need.
An "edge image" consists of pixels representing the image gradient strength [and sometimes the gradient direction]. People may call this edge image something else, but it's the concept that matters.
What you then do with the edge data is another subject altogether. But one reason to think of edge images (or at least object borders) is that it reduces the amount of information your algorithm(s) will need to process.
Mean Shift (and related)
To get back to segmentation mentioned in the section on connected components, there are other methods for segmenting figures from a background: K-means, mean shift, and so on. You probably won't need any of those, but they're neat and worth studying.
Stroke Width Transform
This is an intriguing technique used to extract text from noisy backgrounds. Although it's intended for OCR, it could work for rope since the rope width is relatively constant, the rope shape varies, there are crossings, etc.
In short, and simplifying quite a bit, you can think of SWT as a means to find "strokes" (thick lines) by finding gradients antiparallel to each other. On either side of a stroke (or line), the edge gradient points normal to the object edge. The normal on one side of the stroke points opposite the direction of the normal on the other side of the stroke. By filtering for pixel-gradient pairs within a certain distance of each other, you can isolate certain strokes--even automatically. For your example the collection of points representing edge pairs for the rope would be much more common than other point pairs.
Non-Rigid Matching
There are techniques for matching non-rigid shapes, but they would not be worth exploring. If any of the techniques I mentioned above is unfamiliar to you, explore some of those first before you try any fancier algorithms.
CNNs, machine learning, etc.
Just don't even think of these methods as a starting point.
Other Considerations
If this were an application for industry, security, or whatnot, you'd have to determine how well your image processing worked under all environmental considerations. That's not an easy task, and can make all the difference between a setup that "works" in the lab and a setup that actually works in practice.
I hope that's of some help. Feel free to post a reply if I've confused more than helped, or if you want to explore some idea in more detail. Though I tried to touch on some common(ish) techniques, I didn't mention all the different ways of addressing this problem.
And briefly: once you have a skeleton, point network, or whatever representing a reduced data set for the rope and the red dot (the identified feature), a few techniques to find the items at the blue dots:
For a skeleton, trace along each "branch" of the rope outward from the know until the geodesic distance or straight-line 2D distance is the distance D that you want.
To use geometry, create a circle of width 1 - 2 pixels. Find the intersection of that circle and the rope. Find the center point of the intersections of circle and rope. (Also described above.)
Good luck!

OpenCV - PCA analysis on BW image - area vs shape - is there already an implementation?

The shape of an object is detected on a bw image. The object is a black continuous shape, the background is white.
We use PCA (http://docs.opencv.org/3.1.0/d1/dee/tutorial_introduction_to_pca.html) to get the object direction and align the object. Currently the shape itself (the points on the contour) is the input to the opencv PCA implementation. This usually works very well. But from time to time there is small dirt on the object border, causing the shape to pass around the dirt. This causes more points and more weight on one side, slightly turning the object.
Idea: Instead of the contour, we use the area of the object as input for our PCA analysis. The issue there, to check all points on if they are inside the contour and then use them for PCA slows the application down. This part will be about 52352 times slower.
New Approach: We take random points in the image, check if they are inside the shape and if so, use them for our PCA. We have to see if we can get the consistent quality needed from this approach.
Is there already a similar implementation in opencv which is using the area instead of the shape?
Another approach would be to put a mesh over the object and use the mesh points inside the object for PCA.
Is there already something similar available one can just use or does one quickly need to implement something like this?
Going for straight lines around the object isn't an option.
Given that we have received very limited information about your problem (posting images would help a lot) and you do not seem to know the probability density function of the noise, your best bet is to consider the noise to be Gaussian.
As such, and following your intuition, my suggested approach is to take a few (by a few I mean statistically relevant but not raising the computation time that much) random points that lie inside the object and compute the PCA.
Repeat this procedure in an iterative loop and store somewhere the resulting rotation angles you get from the application of the PCA to the object shape.
Stop once you have enough point, compute the mean of the rotation angles: this is a decent estimate of the true angle. Compute also the standard deviation to get a measure of the quality of your estimation. By "enough points" you can consider that ~30 points is usually considered to be "enough" for being representative of the underlying population according to the central limit theorem.
If you want, you can improve on this approach in many ways, for example doing robust estimation of the true angle once you have collected enough points. It all depends on the data you have at hand...take my suggestion just as a starting point.
There are few parameters that you could change, in which may improve your system.
First is the threshold you use to binarize your image. I don't know what your application is about, but you could use other color systems, or normalize your image by cromacity, and after that, apply the new threshold.
Other aspect is to exclude shapes (contours) that have bigger or smaller area that what you are expecting.
To add up, you may use a blur filter before detect contours.
I don't know how the noise looks but when you say "small dirt" I think it might be only some few pixels that is a lot smaller then the object it self, but it might be attached to the object. To reduce this noise it might be possible to perform an opening (morphology) on the binary image.
http://docs.opencv.org/2.4/doc/tutorials/imgproc/opening_closing_hats/opening_closing_hats.html

Finding Circle Edges :

Finding Circle Edges :
Here are the two sample images that i have posted.
Need to find the edges of the circle:
Does it possible to develop one generic circle algorithm,that could find all possible circles in all scenarios ?? Like below
1. Circle may in different color ( White , Black , Gray , Red)
2. Background color may be different
3. Different in its size
http://postimage.org/image/tddhvs8c5/
http://postimage.org/image/8kdxqiiyb/
Please suggest some idea to write a algorithm that should work out on above circle
Sounds like a job for the Hough circle transform:
I have not used it myself so far, but it is included in OpenCV. Among other parameters, you can give it a minimum and maximum radius.
Here are links to documentation and a tutorial.
I'd imagine your second example picture will be very hard to detect though
You could apply an edge detection transformation to both images.
Here is what I did in Paint.NET using the outline effect:
You could test edge detect too but that requires more contrast in the images.
Another thing to take into consideration is what it exactly is that you want to detect; in the first image, do you want to detect the white ring or the disc inside. In the second image; do you want to detect the all the circles (there are many tiny ones) or just the big one(s). These requirement will influence what transformation to use and how to initialize these.
After transforming the images into versions that 'highlight' the circles you'll need an algorithm to find them.
Again, there are more options than just one. Here is a paper describing an algoritm
Searching the web for image processing circle recognition gives lots of results.
I think you will have to use a couple of different feature calculations that can be used for segmentation. I the first picture the circle is recognizeable by intensity alone so that one is easy. In the second picture it is mostly the texture that differentiates the circle edge, in that case a feature image based based on some kind of texture filter will be needed, calculating the local variance for instance will result in a scalar image that can segment out the circle. If there are other features that defines the circle in other scenarios (different colors for background foreground etc) you might need other explicit filters that give a scalar difference for those cases.
When you have scalar images where the circles stand out you can use the circular Hough transform to find the circle. Either run it for different circle sizes or modify it to detect a range of sizes.
If you know that there will be only one circle and you know the kind of noise that will be present (vertical/horizontal lines etc) an alternative approach is to design a more specific algorithm e.g. filter out the noise and find center of gravity etc.
Answer to comment:
The idea is to separate the algorithm into independent stages. I do not know how the specific algorithm you have works but presumably it could take a binary or grayscale image where high values means pixel part of circle and low values pixel not part of circle, the present algorithm also needs to give some kind of confidence value on the circle it finds. This present algorithm would then represent some stage(s) at the end of the complete algorithm. You will then have to add the first stage which is to generate feature images for all kind of input you want to handle. For the two examples it should suffice with one intensity image (simply grayscale) and one image where each pixel represents the local variance. In the color case do a color transform an use the hue value perhaps? For every input feed all feature images to the later stage, use the confidence value to select the most likely candidate. If you have other unknowns that your algorithm need as input parameters (circle size etc) just iterate over the possible values and make sure your later stages returns confidence values.

Target Detection - Algorithm suggestions

I am trying to do image detection in C++. I have two images:
Image Scene: 1024x786
Person: 36x49
And I need to identify this particular person from the scene. I've tried to use Correlation but the image is too noisy and therefore doesn't give correct/accurate results.
I've been thinking/researching methods that would best solve this task and these seem the most logical:
Gaussian filters
Convolution
FFT
Basically, I would like to move the noise around the images, so then I can use Correlation to find the person more effectively.
I understand that an FFT will be hard to implement and/or may be slow especially with the size of the image I'm using.
Could anyone offer any pointers to solving this? What would the best technique/algorithm be?
In Andrew Ng's Machine Learning class we did this exact problem using neural networks and a sliding window:
train a neural network to recognize the particular feature you're looking for using data with tags for what the images are, using a 36x49 window (or whatever other size you want).
for recognizing a new image, take the 36x49 rectangle and slide it across the image, testing at each location. When you move to a new location, move the window right by a certain number of pixels, call it the jump_size (say 5 pixels). When you reach the right-hand side of the image, go back to 0 and increment the y of your window by jump_size.
Neural networks are good for this because the noise isn't a huge issue: you don't need to remove it. It's also good because it can recognize images similar to ones it has seen before, but are slightly different (the face is at a different angle, the lighting is slightly different, etc.).
Of course, the downside is that you need the training data to do it. If you don't have a set of pre-tagged images then you might be out of luck - although if you have a Facebook account you can probably write a script to pull all of yours and your friends' tagged photos and use that.
A FFT does only make sense when you already have sort the image with kd-tree or a hierarchical tree. I would suggest to map the image 2d rgb values to a 1d curve and reducing some complexity before a frequency analysis.
I do not have an exact algorithm to propose because I have found that target detection method depend greatly on the specific situation. Instead, I have some tips and advices. Here is what I would suggest: find a specific characteristic of your target and design your code around it.
For example, if you have access to the color image, use the fact that Wally doesn't have much green and blue color. Subtract the average of blue and green from the red image, you'll have a much better starting point. (Apply the same operation on both the image and the target.) This will not work, though, if the noise is color-dependent (ie: is different on each color).
You could then use correlation on the transformed images with better result. The negative point of correlation is that it will work only with an exact cut-out of the first image... Not very useful if you need to find the target to help you find the target! Instead, I suppose that an averaged version of your target (a combination of many Wally pictures) would work up to some point.
My final advice: In my personal experience of working with noisy images, spectral analysis is usually a good thing because the noise tend to contaminate only one particular scale (which would hopefully be a different scale than Wally's!) In addition, correlation is mathematically equivalent to comparing the spectral characteristic of your image and the target.

Cubemap from panoramic horizontally wrappable image

I'm trying to write an algorithm to generate the "ceiling panel" from a horiontally wrappable panoramic image like the one above. Images 1 to 4 are a straight cut out for the walls of the cube but the ceiling will be more complicated as I assume it needs to be composited from parts 5a to 5d. Does anyone know the solution in pseudocode?
my guess is that we need to iterate over the coordinates of the ceiling tile
i.e.
for y=0 to height
for x=0 to width
colorofsomecoordinateonoriginalimage = some function (poloar coords?)
set pixel(x,y) = colorofsomecoordinateonoriginalimage
next
next
Hum... I remember doing something like that for computer vision class one time back in grad school. It's not impossible but a LOT of work needs to be done. One way would be to degrade the entire product's quality. That's the easiest starting point. Once you degraded it enough (depending on how much you need to stretch the edges), you can start applying nonlinear transformations to the image. This is probably best done approximating by maybe cutting out sections of the cylinder by degrees and then applying one of the age old projections used in making flat maps (like Mercator or CADRG or something)... but you have to remember to interpolate the pixels, make sure you at least do an averaging of the pixels to approximate. That's the best I can think of.
You can't generate a panorama just by taking photos from a single location and stitch them. Well, you can for a single horizontal set, but it would look ugly (usually, you stitch many more than 4 photos to avoid distortions at the edges).
Here, you have even more data in the y-direction, which means even more pictures, and some sort fancy projection to generate the final image.
If you look at the panorama you have closely, you'll notice that the boundary of the region in sunlight is not straight. That is because your panorama was projected on a cylinder, not a cube. So I don't think 1/2/3/4 would look right directly mapped to a cube.
Bottom line, you really can't consider those 8 chunks as 8 pictures taken from a fixed point (If you need convincing, try yourself to take 8 pictures like that and try to stitch them together. You'll see how fun it is for the upper row, and even though it is easy for the bottom row, how ugly it looks on the stitched regions).
Now, why you need cube maps changes drastically what your options are. If you're only looking for a cube map to do cheap environment mapping effects, then the simplest is to find an arbitrary function that maps the edges where you want them to be, and simply linearly interpolate in between. It's completely the wrong projection, but ought to give a picture that looks good enough for the intended goal.
If you're looking for something more accurate, then you need to know how the projection was generated, so that you can unproject it before re-projecting it on the cube.
All that said, it's also a lot easier to just photograph cube maps rather than process a panorama to generate them, but that might not be possible for you.