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I want measuring angle in image

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I have picture as binary image I want find angle of picture in top left,top right,bottom right,bottom left from axis X at 0 degree whirl as circle completely, 360 degree. red point is point want to know angle in picture
**red point I create in Photoshop
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KSSV
KSSV on 16 Feb 2017
Edited: KSSV on 16 Feb 2017
I am closing the other one and keeping the present one.

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Image Analyst
Image Analyst on 16 Feb 2017
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Adisorn Phanukthong
Adisorn Phanukthong on 16 Feb 2017
I want as code mathlab. Can you help me please .
Image Analyst
Image Analyst on 17 Feb 2017
Roger's link had the code. Just use it on each of your red dots, and centroid, which I presume you have, to find the angles.
If you don't have the centroid, see my Image Segmentation Tutorial http://www.mathworks.com/matlabcentral/fileexchange/?term=authorid%3A31862. Basically, if you have the binary image, in short, to find the centroid, it's
binaryImage = bwareafilt(binaryImage, 1); % Extract largest blob.
labeledImage = bwlabel(binaryImage);
props = regionprops(labeledImage, 'Centroid');
xCentroid = props(1).Centroid(1);
yCentroid = props(1).Centroid(2);
It's not exactly clear the rules for finding your red dots. I mean, they could jsut as easily be moved around the outline a little bit and I wouldn't know which is correct/best. Since you know the rules, not me, just use your own code to find the red dots.

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