Detect concentric empty rough circles

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Hello,

I want to be able to detect and draw a square around some circles. These circles are taken with a camera so depending of the angle of view and the distance, the radius vary and they can be deformed.Here are two examples: First example and Second example.

The last thing I have tried is using the CircularHough_Grd function from Tao Peng but it finds circles that are tangent of the sought circles: Result with CircularHough_Grd. And I am not sure how resistant this function is to deformation.

Any suggestion would be welcome as I am running a bit out of ideas at the moment.

Cheers.

  2 个评论
Image Analyst
Image Analyst 2014-1-23
Can you attach them here using the image icon? My company policy has banned dropbox.
Carine
Carine 2014-1-23
编辑:Carine 2014-1-23

Above there is one and here is the second one

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采纳的回答

Image Analyst
Image Analyst 2014-1-23
  10 个评论
Carine
Carine 2014-1-28
Hi again, I am of course spending the day on it... But the day is ending her in Europe. I have tried the another example but the result is rather worse. Your code give this plot:
More tomorrow.
I really appreciate your help! Cheers-
Carine
Carine 2014-1-30
Hello, I have finally something quite satisfying (history will see if fame is approaching dear Image Analyst ;-)):
nomFile = 'Piscine80b.JPG';
rgbImage = imread(nomFile);
% Get the dimensions of the image. numberOfColorBands should be = 3.
[rows, columns, numberOfColorBands] = size(rgbImage);
redChannel = rgbImage(:, :, 1);
level = graythresh(rgbImage);
binaryImage = im2bw(redChannel,level);
binaryImage = bwareaopen(binaryImage, 20000);
binaryImage = ~bwareaopen(~binaryImage, 20000);
[labeledImage, numberOfBlobs] = bwlabel(binaryImage, 8);
% Label each blob so we can make measurements of it
fprintf('Found %d blobs.\n', numberOfBlobs);
coloredLabels = label2rgb (labeledImage, 'hsv', 'k', 'shuffle');
% pseudo random color labels
% Measure the regions
measurements = regionprops(labeledImage, 'Perimeter', 'Area');
% Select certain blobs based using the ismember function.
% Let's say that we wanted to find only those blobs
% with a circularity more than 5 or so.
allBlobPerimeters = [measurements.Perimeter];
allBlobAreas = [measurements.Area];
allCircularities = allBlobPerimeters .^ 2 ./ (4*pi*allBlobAreas)
% Get a list of the blobs that meet our criteria and we need to keep.
% keeperIndexes = find(allCircularities < 1.5)
[~,keeperIndexes] = min(allCircularities)
% Extract only those blobs that meet our criteria, and
% eliminate those blobs that don't meet our criteria.
% Note how we use ismember() to do this.
keeperBlobsImage = ismember(labeledImage, keeperIndexes);
% Measure the regions, this time getting equivalent circular diameter and centroid.
measurements = regionprops(logical(keeperBlobsImage), ...
'Perimeter', 'Area', 'EquivDiameter', 'Centroid','BoundingBox');
ecd = measurements.EquivDiameter
equivDiameter(k,lettre) = ecd;
c = measurements.Centroid;
centroid(k,lettre,:) = c;
BoundingBox = [measurements.BoundingBox]
% Create a square mask including the circle
x0 = BoundingBox(1); y0 = BoundingBox(2); % Upper left corner
w = BoundingBox(3); h = BoundingBox(4); % Width and heigth
dw = 0.1*w; dh = 0.1*h; % To let some margin
mask = zeros(rows,columns);
mask(max(1,ceil(y0-dh)):min(rows,ceil(y0+h+dh)), ...
max(1,ceil(x0-dw)):min(columns,ceil(x0+w+dw))) = 1;
mask = logical(mask);
Imask = rgbImage;
Imask(~mask) = 255;
IbinMask = ~(~binaryImage.*mask);
close
togglefig(nomFile)
imshow(rgbImage)
pause
imshow(IbinMask)
hold on
plot(c(1), c(2), 'r+', 'MarkerSize', 20, 'LineWidth', 3);
plot(c(1)-ceil(ecd/2):c(1)+ceil(ecd/2),c(2),'r','LineWidth', 3);
hold off
pause
end
end
Using that, I can define the box around my "nearly circle" and select it, draw the equivalent diameter and the centre. Thank you again for you help!

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更多回答(7 个)

Carine
Carine 2014-3-24
Hello,
I would like to reopen this question as, dealing with a noiser picture, it does not work anymore. For example, if I take a picture which I process and transform to black and white. I get this one:
Now, when I try to find regions with regionprops, it just finds one in red. Whereas I need the system to dectect my black circle.
</matlabcentral/answers/uploaded_files/10333/region.jpg> To get it, following the previous idea of this thread I do:
[labeledImage, numberOfBlobs] = bwlabel(binaryImage, 8);
coloredLabels = label2rgb (labeledImage, 'hsv', 'k', 'shuffle');
imshow(coloredLabels)
Any idea on how I could detect the circle?
Cheers.

Carine
Carine 2014-3-26
编辑:Carine 2014-3-26
OK, here is a full example: I have this picture:
</matlabcentral/answers/uploaded_files/10400/Turbio10b.JPG> or link here. I process it using adapthisteq with Rayleigh distribution and clip of 1 and get:
Now I transform it to black and white and use bwareaopen to clean the image a bit:
Then if I try to find the blobs with
[labeledImage, numberOfBlobs] = bwlabel(binaryImage, 8);
I get this, link here or in fig . I find it very surprising as in very similar example, it works and detect both circles.
Cheers,
Carine.
P.S. I put hyperlink as it seems the direct links to the images don't work. I don't know why as when I download them, I am able visualize them but then it stop working.
  3 个评论
Carine
Carine 2014-3-27
No, if you can see my images, you will see that one of the circles is not detected. Yes I did use the image icon, choosing an image from my hard drive.
Image Analyst
Image Analyst 2014-3-27
编辑:Image Analyst 2014-3-27

Your links are broken. Let me see if I can upload one from my hard drive from the image icon and see if the link it inserts is broken.

It seems I can insert one. Please try again.

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Carine
Carine 2014-3-27

Original image


Carine
Carine 2014-3-27
Using adapthisteq with Rayleigh distribution
on red channel

Carine
Carine 2014-3-27
Now I transform it to black and white and use bwareaopen to clean the image a bit:

Carine
Carine 2014-3-27
Then if I try to find the blobs with
[labeledImage, numberOfBlobs] = bwlabel(binaryImage, 8);
I get this

Carine
Carine 2014-3-27
编辑:Carine 2014-3-27
I find it very surprising as in very similar example, it works and detect both circles.
I have split the text to have only one figure in each answer and see if it works better.

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