OpenCV detect tennis court lines behind net - algorithm

I'm trying to implement a tennis court detector using video recorded from the phone. I filmed it from the far corner of the tennis court.
The original image is like this.
Using OpenCV Canny Edge Detection and Hough Lines transformation, I'm able to detect the lines in my own half, but not the ones behind the net. How can I improve this process and get the undetected court lines?
The processed image is as below.
Updated on 2016-08-25
Thanks guys. I understand it makes sense to derive the court lines by fitting the detected lines to the model lines. I am not going to try combinatorial search to find the best lines to fit models. Therefore, I have been trying to separate the horizontal/vertical lines in order to reduce the computational complexity. I tried RANSAC in order to find vanishing points (VP) that associate two different groups of lines, but failed probably because of detection error(?).
The scatter plot of the line parameters in polar coordinates is as below. It is basically to classify the points into two groups: the top points that form a horizontal line; the down left points that also form a line with deep slope. Is there anyway to do that? Thanks

You don't need to detect the lines behind the net. You know the ground is a flat plane, you know the dimensions of each side of the court are the same - so you only need to detect the nearby lines and you can calculate where the missing lines are.
In fact you really only need to detect a single corner if you know the characteristics of the camera+lens.

In addition to Martin's comments, you might try using some kind of blur on the image before running your edge/line detection. With some tuning, you should be able to remove the signal of the net and maintain the court lines.
Another approach would be to reduce the thick lines to a single pixel by scanning the image left to right (for example) to detect transitions from red/green to white and back to red/green again. When this occurs, you can estimate that the midpoint of those two transitions is the midpoint of a court line. This would give you data you could feed directly into your Hough transform. This of course requires you to classify individual pixels as either court or line, which it seems like you aren't currently doing. This process can also be performed top-to-bottom to produce a second set of midpoint estimates.

For blurring, try a Bilateral filter
Example input image:
cv2.bilateralFilter(img_gray,30,25,75)
output image:

Related

anyway to remove algorithmically discolorations from aerial imagery

I don't know much about image processing so please bear with me if this is not possible to implement.
I have several sets of aerial images of the same area originating from different sources. The pictures have been taken during different seasons, under different lighting conditions etc. Unfortunately some images look patchy and suffer from discolorations or are partially obstructed by clouds or pix-elated, as par example picture1 and picture2
I would like to take as an input several images of the same area and (by some kind of averaging them) produce 1 picture of improved quality. I know some C/C++ so I could use some image processing library.
Can anybody propose any image processing algorithm to achieve it or knows any research done in this field?
I would try with a "color twist" transform, i.e. a 3x3 matrix applied to the RGB components. To implement it, you need to pick color samples in areas that are split by a border, on both sides. You should fing three significantly different reference colors (hence six samples). This will allow you to write the nine linear equations to determine the matrix coefficients.
Then you will correct the altered areas by means of this color twist. As the geometry of these areas is intertwined with the field patches, I don't see a better way than contouring the regions by hand.
In the case of the second picture, the limits of the regions are blurred so that you will need to blur the region mask as well and perform blending.
In any case, don't expect a perfect repair of those problems as the transform might be nonlinear, and completely erasing the edges will be difficult. I also think that colors are so washed out at places that restoring them might create ugly artifacts.
For the sake of illustration, a quick attempt with PhotoShop using manual HLS adjustment (less powerful than color twist).
The first thing I thought of was a kernel matrix of sorts.
Do a first pass of the photo and use an edge detection algorithm to determine the borders between the photos - this should be fairly trivial, however you will need to eliminate any overlap/fading (looks like there's a bit in picture 2), you'll see why in a minute.
Do a second pass right along each border you've detected, and assume that the pixel on either side of the border should be the same color. Determine the difference between the red, green and blue values and average them along the entire length of the line, then divide it by two. The image with the lower red, green or blue value gets this new value added. The one with the higher red, green or blue value gets this value subtracted.
On either side of this line, every pixel should now be the exact same. You can remove one of these rows if you'd like, but if the lines don't run the length of the image this could cause size issues, and the line will likely not be very noticeable.
This could be made far more complicated by generating a filter by passing along this line - I'll leave that to you.
The issue with this could be where there was development/ fall colors etc, this might mess with your algorithm, but there's only one way to find out!

Computer vision to calculate the digit (finger) ratio

If someone scans their right hand pressed against the glass of a scanner, the result would look like this:
(without the orange and white annotations). How could we determine someone's 2D:4D ratio from an image of their hand?
You've already tagged this opencv which is great - I'd highly recommend taking a look at openFrameworks and the openCV addon, as the basic examples there will give you some great starting blocks for this.
The general approach to this I would take is to first distill the image to light and dark areas, detect the edges of the hand and fingers, and then simplify your data until you have lines representing the edges and tips of the fingers. Finally, take the lower inseam between 2nd and 3rd finger, stopping at the tip of the 2nd, and the inseam of the 3rd and 4th, stopping at the tip of the 4th, which should give you your 2D:4D ratio.
First, you'll need to process your images to get to black and white images openCV can easily handle. You may have to play with various thresholds to get both the outline of the hand and the inseams of the fingers to be detected. (You may even need two passes to detect both the outline and inseams)
While there are many approaches to feature detection, OpenCV will generally return arrays of "blobs" detected. With the right thresholds, I believe you would be able to reliably and simply find contiguous horizontal blobs (or nearly contiguous, allowing for some distance between nearby blobs) for the inseams of each finger.
A simple algorithm for detecting the inseams would be to walk through the detected blobs starting from the top left and proceeding left-to-right through the image, as if reading a page. Assemble an array of detected horizontal lines from the blobs in your image, and play with various image processing thresholds, minimum accepted line length, and distance allowances between detected blobs which you still consider part of the same line until you're satisfied you're detecting the finger edges well.
Once you have detected the horizontal lines, you can process the blobs again, looking for the vertical lines that represent the tips of the fingers (stopping when you hit the previously detected horizontal lines)
Finally, find the lines which represent the correct inseams, measure them until they intersect with the appropriate fingertips, and you should have your ratio!
Interesting question. I'd go about it this way:
First, binarize the image by Otsu's thresholding. Then find the skeleton of the image using a Medial-Axis Transform (MAT). This would mean doing a distance transform on the image, then using adaptive thresholding to get the local maxima in the distance transform. This gives a rough and ready skeleton of your image. Sample code from here.
The obtained hand-skeleton may be slightly disconnected, in which case use the OpenCV morphology "CLOSE" (not "open") function can connect it into a single skeleton. Then checking convexity defects of the resulting hand should give an estimate.

simple case of optical flow

General: I'm hoping that the use-case I'm about to describe is a simple case of an optical flow problem and since I don't have much knowledge on the subject, I was wondering if anyone has any suggestions on how I can approach solving my problem.
Research I've already done: I have began reading the High Accuracy Optical Flow Estimation Based on a Theory for Warping paper and am planning on looking over the Particle Video paper. I have found a MATLAB High Accuracy Optical Flow implementation of optical flow. However, the papers (and the code) seem to describe concepts that are very involved and may require a lot of time for me to dig in and understand. I am hoping that the solution to my problem may be more simple.
Problem: I have a sequence of images. The images depict a material breakage process, where the material and background are black and the cracks are white. I am interested in traversing the sequence of images in reverse in an attempt to map all of the cracks that have formed in the breakage process to the first black image. You can think of the material as a large puzzle and I am trying to put the pieces back together in the reverse order that they broke.
In each image, there can be some cracks that are just emerging and/or some cracks that have been fully formed (and thus created a fragment). Throughout the breakage process, some fragments may separate and break further. The fragments can also move farther away from one another (the change is slight between subsequent frames).
Desired Output: All of the cracks/lines in the sequence mapped to the first image in the sequence.
Additional Notes: Images are available in grayscale format (i.e. original) as well as in binary format, where the cracks have been outlined in white and the background is completely black. See below for some image examples.
The top row shows the original images and the bottom row shows the binary images. As you can see, the crack that goes down the middle grows wider and wider as the image sequence progresses. Thus, the bottom crack moves together with the lower fragment. When traversing the sequence in reverse, I hope to algorithmically realize that the middle crack comes together as one (and map it correctly to the first image), and also map the bottom crack correctly, keeping its correct correspondence (size and position) with the bottom fragment.
A sequence typically contains about 30~40 images, so I've just shown the beginning subset. Also, although these images don't show it, it is possible that a particular image only contains the beginning of the crack (i.e. its initial appearance) and in subsequent images it gets longer and longer and may join with other cracks.
Language: Although not necessary, I would like to implement the solution using MATLAB (just because most of the other code that relates to the project has been done in MATLAB). However, if OpenCV may be easier, I am flexible in my language/library usage.
Any ideas are greatly appreciated.
Traverse forward rather than reverse, and don't use optical flow. Use the fracture lines to segment the black parts, track the centroid of each black segment over time. Whenever a new fracture line appears that cuts across a black segment, split the segment into two and continue tracking each segment separately.
From this you should be able to construct a tree structure representing the segmentation of the black parts over time. The fracture lines can be added as metadata to this tree, perhaps assigning fracture lines to the segment node in which they first appeared.
I would advise you to follow your initial idea of backtracking the cracks. Yo kind of know how the cracks look like so you can track all the points that belong to the crack. You just track all the white points with an optical flow tracker, start with Lukas-Kanade tracker and see where you get. The high-accuracy optical flow method is a global one and more general, I'll track all the pixels in the image trying to keep some smoothness everywhere. The LK is a local method that will just use a small window around each point to do the tracking. The problem is that appart from the cracks all the pixels are plain black so nothing to track there, you'll just waist time trying to track something that you can't track and you don't need to track.
If lines are very straight you might end up with what's called the aperture problem and you'll get inaccurate results. You can also try some shape fitting/deformation based on snakes.
I agree to damian. Most optical flow methods like the HAOF rely on the first-order taylor approximation of the intensity constancy constrian equation I(x,t)=I(x+v,t+dt). That mean the solution depends on image derivatives where the gradient determine the motion vector magnitude and angle i.e. you need a certain amount of texture. However the very low texture of your non-binarised images could be enough. You could try histogram equalization to increase the contrast of your input data but it is important to apply the same transformation for both input images. e.g. as follows:
cv::Mat equalizeMat(grayInp1.rows, grayInp1.cols * 2 , CV_8UC1);
grayInp1.copyTo(equalizeMat(cv::Rect(0,0,grayInp1.cols,grayInp1.rows)));
grayInp2.copyTo(equalizeMat(cv::Rect(grayInp1.cols,0,grayInp2.cols,grayInp2.rows)));
cv::equalizeHist(equalizeMat,equalizeMat);
equalizeMat(cv::Rect(0,0,grayInp1.cols,grayInp1.rows)).copyTo(grayInp1);
equalizeMat(cv::Rect(grayInp1.cols,0,grayInp2.cols,grayInp2.rows)).copyTo(grayInp2);
// estimate optical flow

Recognizing distortions in a regular grid

To give you some background as to what I'm doing: I'm trying to quantitatively record variations in flow of a compressible fluid via image analysis. One way to do this is to exploit the fact that the index of refraction of the fluid is directly related to its density. If you set up some kind of image behind the flow, the distortion in the image due to refractive index changes throughout the fluid field leads you to a density gradient, which helps to characterize the flow pattern.
I have a set of routines that do this successfully with a regular 2D pattern of dots. The dot pattern is slightly distorted, and by comparing the position of the dots in the distorted image with that in the non-distorted image, I get a displacement field, which is exactly what I need. The problem with this method is resolution. The resolution is limited to the number of dots in the field, and I'm exploring methods that give me more data.
One idea I've had is to use a regular grid of horizontal and vertical lines. This image will distort the same way, but instead of getting only the displacement of a dot, I'll have the continuous distortion of a grid. It seems like there must be some standard algorithm or procedure to compare one geometric grid to another and infer some kind of displacement field. Nonetheless, I haven't found anything like this in my research.
Does anyone have some ideas that might point me in the right direction? FYI, I am not a computer scientist -- I'm an engineer. I say that only because there may be some obvious approach I'm neglecting due to coming from a different field. But I can program. I'm using MATLAB, but I can read Python, C/C++, etc.
Here are examples of the type of images I'm working with:
Regular: Distorted:
--------
I think you are looking for the Digital Image Correlation algorithm.
Here you can see a demo.
Here is a Matlab Implementation.
From Wikipedia:
Digital Image Correlation and Tracking (DIC/DDIT) is an optical method that employs tracking & image registration techniques for accurate 2D and 3D measurements of changes in images. This is often used to measure deformation (engineering), displacement, and strain, but it is widely applied in many areas of science and engineering.
Edit
Here I applied the DIC algorithm to your distorted image using Mathematica, showing the relative displacements.
Edit
You may also easily identify the maximum displacement zone:
Edit
After some work (quite a bit, frankly) you can come up to something like this, representing the "displacement field", showing clearly that you are dealing with a vortex:
(Darker and bigger arrows means more displacement (velocity))
Post me a comment if you are interested in the Mathematica code for this one. I think my code is not going to help anybody else, so I omit posting it.
I would also suggest a line tracking algorithm would work well.
Simply start at the first pixel line of the image and start following each of the vertical lines downwards (You just need to start this at the first line to get the starting points. This can be done by a simple pattern that moves orthogonally to the gradient of that line, ergo follows a line. When you reach a crossing of a horizontal line you can measure that point (in x,y coordinates) and compare it to the corresponding crossing point in your distorted image.
Since your grid is regular you know that the n'th measured crossing point on the m'th vertical black line are corresponding in both images. Then you simply compare both points by computing their distance. Do this for each line on your grid and you will get, by how far each crossing point of the grid is distorted.
This following a line algorithm is also used in basic Edge linking algorithms or the Canny Edge detector.
(All this are just theoretic ideas and I cannot provide you with an algorithm to it. But I guess it should work easily on distorted images like you have there... but maybe it is helpful for you)

Find tunnel 'center line'?

I have some map files consisting of 'polylines' (each line is just a list of vertices) representing tunnels, and I want to try and find the tunnel 'center line' (shown, roughly, in red below).
I've had some success in the past using Delaunay triangulation but I'd like to avoid that method as it does not (in general) allow for easy/frequent modification of my map data.
Any ideas on how I might be able to do this?
An "algorithm" that works well with localized data changes.
The critic's view
The Good
The nice part is that it uses a mixture of image processing and graph operations available in most libraries, may be parallelized easily, is reasonable fast, may be tuned to use a relatively small memory footprint and doesn't have to be recalculated outside the modified area if you store the intermediate results.
The Bad
I wrote "algorithm", in quotes, just because I developed it and surely is not robust enough to cope with pathological cases. If your graph has a lot of cycles you may end up with some phantom lines. More on this and examples later.
And The Ugly
The ugly part is that you need to be able to flood fill the map, which is not always possible. I posted a comment a few days ago asking if your graphs can be flood filled, but didn't receive an answer. So I decided to post it anyway.
The Sketch
The idea is:
Use image processing to get a fine line of pixels representing the center path
Partition the image in chunks commensurated to the tunnel thinnest passages
At each partition, represent a point at the "center of mass" of the contained pixels
Use those pixels to represent the Vertices of a Graph
Add Edges to the Graph based on a "near neighbour" policy
Remove spurious small cycles in the induced Graph
End- The remaining Edges represent your desired path
The parallelization opportunity arises from the fact that the partitions may be computed in standalone processes, and the resulting graph may be partitioned to find the small cycles that need to be removed. These factors also allow to reduce the memory needed by serializing instead of doing calcs in parallel, but I didn't go trough this.
The Plot
I'll no provide pseudocode, as the difficult part is just that not covered by your libraries. Instead of pseudocode I'll post the images resulting from the successive steps.
I wrote the program in Mathematica, and I can post it if is of some service to you.
A- Start with a nice flood filled tunnel image
B- Apply a Distance Transformation
The Distance Transformation gives the distance transform of image, where the value of each pixel is replaced by its distance to the nearest background pixel.
You can see that our desired path is the Local Maxima within the tunnel
C- Convolve the image with an appropriate kernel
The selected kernel is a Laplacian-of-Gaussian kernel of pixel radius 2. It has the magic property of enhancing the gray level edges, as you can see below.
D- Cutoff gray levels and Binarize the image
To get a nice view of the center line!
Comment
Perhaps that is enough for you, as you ay know how to transform a thin line to an approximate piecewise segments sequence. As that is not the case for me, I continued this path to get the desired segments.
E- Image Partition
Here is when some advantages of the algorithm show up: you may start using parallel processing or decide to process each segment at a time. You may also compare the resulting segments with the previous run and re-use the previous results
F- Center of Mass detection
All the white points in each sub-image are replaced by only one point at the center of mass
XCM = (Σ i∈Points Xi)/NumPoints
YCM = (Σ i∈Points Yi)/NumPoints
The white pixels are difficult to see (asymptotically difficult with param "a" age), but there they are.
G- Graph setup from Vertices
Form a Graph using the selected points as Vertex. Still no Edges.
H- select Candidate Edges
Using the Euclidean Distance between points, select candidate edges. A cutoff is used to select an appropriate set of Edges. Here we are using 1.5 the subimagesize.
As you can see the resulting Graph have a few small cycles that we are going to remove in the next step.
H- Remove Small Cycles
Using a Cycle detection routine we remove the small cycles up to a certain length. The cutoff length depends on a few parms and you should figure it empirically for your graphs family
I- That's it!
You can see that the resulting center line is shifted a little bit upwards. The reason is that I'm superimposing images of different type in Mathematica ... and I gave up trying to convince the program to do what I want :)
A Few Shots
As I did the testing, I collected a few images. They are probably the most un-tunnelish things in the world, but my Tunnels-101 went astray.
Anyway, here they are. Remember that I have a displacement of a few pixels upwards ...
HTH !
.
Update
Just in case you have access to Mathematica 8 (I got it today) there is a new function Thinning. Just look:
This is a pretty classic skeletonization problem; there are lots of algorithms available. Some algorithms work in principle on outline contours, but since almost everyone uses them on images, I'm not sure how available such things will be. Anyway, if you can just plot and fill the sewer outlines and then use a skeletonization algorithm, you could get something close to the midline (within pixel resolution).
Then you could walk along those lines and do a binary search with circles until you hit at least two separate line segments (three if you're at a branch point). The midpoint of the two spots you first hit, or the center of a circle touching the three points you first hit, is a good estimate of the center.
Well in Python using package skimage it is an easy task as follows.
import pylab as pl
from skimage import morphology as mp
tun = 1-pl.imread('tunnel.png')[...,0] #your tunnel image
skl = mp.medial_axis(tun) #skeleton
pl.subplot(121)
pl.imshow(tun,cmap=pl.cm.gray)
pl.subplot(122)
pl.imshow(skl,cmap=pl.cm.gray)
pl.show()

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