calculating angle between line of best fit and x axis
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I have a set of coordinate points from a picture. I have used polyfit to find the line of best fit of these, but I want to find the angle between the line of best fit and the x axis, so the angle the pile of grains is sitting at. Can somebody tell me how I can do this?
%find the circles and get the coordinates
I = imread('testpic1.png');
imshow(I)
[X,Y]=meshgrid(1:size(I));
Rmin = 10;
Rmax = 20;
[cd, rd] = imfindcircles(I,[Rmin Rmax], 'ObjectPolarity', 'dark', 'Sensitivity', 0.94, 'Method','TwoStage');
viscircles(cd, rd, 'Color', 'b');
subplot(1,3,1)
imshow(I)
hold on
scatter(cd(:,1), cd(:,2),'r*')
cd = cd(cd(:,2) <315, :)
subplot(1,3,2)
imshow(I)
hold on
scatter(cd(:,1), cd(:,2),'r*')
%plot line of best fit
p = polyfit(cd(:,1),cd(:,2),1);
Bfit = polyval(p,cd(:,1));
subplot(1,3,3)
imshow(I)
hold on
scatter(cd(:,1),cd(:,2))
hold on
plot(cd(:,1),Bfit,'-r')
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采纳的回答
Star Strider
2021-10-7
The slope is simply the tangent, so —
slope_angle = atand(p(1)) % Slope Angle (°)
Here, that comes out to be about 14.6°. The slope appears negative in the image plot because of the axes orientation being different in the images. Plotting it with both axes in their normal orientation (added at the end) shows it to be positive.
%find the circles and get the coordinates
I = imread('https://www.mathworks.com/matlabcentral/answers/uploaded_files/760726/testpic1.png');
imshow(I)
[X,Y]=meshgrid(1:size(I));
Rmin = 10;
Rmax = 20;
[cd, rd] = imfindcircles(I,[Rmin Rmax], 'ObjectPolarity', 'dark', 'Sensitivity', 0.94, 'Method','TwoStage');
viscircles(cd, rd, 'Color', 'b');
subplot(1,3,1)
imshow(I)
hold on
scatter(cd(:,1), cd(:,2),'r*')
cd = cd(cd(:,2) <315, :)
subplot(1,3,2)
imshow(I)
hold on
scatter(cd(:,1), cd(:,2),'r*')
%plot line of best fit
p = polyfit(cd(:,1),cd(:,2),1)
Bfit = polyval(p,cd(:,1));
subplot(1,3,3)
imshow(I)
hold on
scatter(cd(:,1),cd(:,2))
hold on
plot(cd(:,1),Bfit,'-r')
slope_angle = atand(p(1)) % Slope Angle (°)
figure
plot(cd(:,1),cd(:,2),'.')
hold on
plot(cd(:,1),Bfit,'-r')
hold off
axis('equal')
title(sprintf('Slope = %.1f°',slope_angle))
.
更多回答(1 个)
Alan Stevens
2021-10-7
编辑:Alan Stevens
2021-10-7
Take the arctangent of the gradient of the straight line.
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