MATLAB: How to rotate imellipse

Image Processing Toolboximellipserotate

Hello fellow Matlab users,

I'm currently using the imellipse function to draw an ellipse on an image. I would like to rotate the ellipse interactively. However I cannot get this to work. Does anyone have experience with rotating ellipses? Please share, it would help me out a lot!

With kind regards,

Erik Groot Jebbink

Best Answer

See my demo. It doesn't use imellipse() so you can't have handles to click and drag out new a size or angle. So you'd need to have a GUI with some sliders to allow the user to set new parameters for the major axis length, minor axis length, center location, and angle or orientation.

clc;    % Clear the command window.
workspace;  % Make sure the workspace panel is showing.
format longg;
format compact;
fontSize = 20;
% Parameterize the equation.
t = linspace(0, 360,1000);
phaseShift = 20;
xAmplitude = 2;
yAmplitude = 1;
x = xAmplitude * sind(t + phaseShift);
y = yAmplitude * cosd(t);
% Now plot the rotated ellipse.
plot(x, y, 'b-', 'LineWidth', 2);
axis equal
grid on;
xlabel('X', 'FontSize', fontSize);
ylabel('Y', 'FontSize', fontSize);
title('Rotated Ellipses', 'FontSize', fontSize);
text(-1.75, 1.4, 'Parametric --', 'Color', 'b', 'FontSize', fontSize);
% Now plot another ellipse and multiply it by a rotation matrix.
% http://www.maa.org/joma/Volume8/Kalman/General.html
rotationAngle = 30;
transformMatrix = [cosd(rotationAngle), sind(rotationAngle);...
  -sind(rotationAngle), cosd(rotationAngle)]
xAligned = xAmplitude * sind(t);
yAligned = yAmplitude * cosd(t);
xyAligned = [xAligned; yAligned]';
xyRotated = xyAligned * transformMatrix;
xRotated = xyRotated(:, 1);
yRotated = xyRotated(:, 2);
hold on;
plot(xRotated, yRotated, 'g-', 'LineWidth', 2);
% Plot a line at 30 degrees
slope = tand(30);
x1 = min(x(:));
y1 = slope * x1;
x2 = max(x(:));
y2 = slope * x2;
line([x1 x2], [y1 y2], 'Color', 'r');
text(-1.75, 1.25, 'Rotation Matrix --', 'Color', 'g', 'FontSize', fontSize);
text(-1.75, 1.1, '30 Degree Line --', 'Color', 'r', 'FontSize', fontSize);
% Enlarge figure to full screen.
set(gcf, 'units','normalized','outerposition',[0 0 1 1]);

Related Solutions

MATLAB: Tilting an ellipse on a given angle

You need to introduce a phase shift to get a rotation. See my demo code. It makes a rotated ellipse. Then it uses a second way, a rotation matrix, to rotate that ellipse by a specified angle.

% Creates a rotated ellipse, and then rotates it again by a specified angle using a second method: a rotation matrix.
clc;    % Clear the command window.
workspace;  % Make sure the workspace panel is showing.
clearvars;
format longg;
format compact;
fontSize = 20;
% Parameterize the equation.
t = linspace(0, 360,1000);
phaseShift = 20;
xAmplitude = 2;
yAmplitude = 1;
x = xAmplitude * sind(t + phaseShift);
y = yAmplitude * cosd(t);
% Now plot the rotated ellipse.
plot(x, y, 'b-', 'LineWidth', 2);
axis equal
grid on;
xlabel('X', 'FontSize', fontSize);
ylabel('Y', 'FontSize', fontSize);
title('Rotated Ellipses', 'FontSize', fontSize);
text(-1.75, 1.4, 'Parametric --', 'Color', 'b', 'FontSize', fontSize);
% Now plot another ellipse and multiply it by a rotation matrix.
% https://en.wikipedia.org/wiki/Rotation_matrix
rotationAngle = 30;
transformMatrix = [cosd(rotationAngle), sind(rotationAngle);...
  -sind(rotationAngle), cosd(rotationAngle)]
xAligned = xAmplitude * sind(t);
yAligned = yAmplitude * cosd(t);
xyAligned = [xAligned; yAligned]';
xyRotated = xyAligned * transformMatrix;
xRotated = xyRotated(:, 1);
yRotated = xyRotated(:, 2);
hold on;
plot(xRotated, yRotated, 'g-', 'LineWidth', 2);
% Plot a line at 30 degrees
slope = tand(30);
x1 = min(x(:));
y1 = slope * x1;
x2 = max(x(:));
y2 = slope * x2;
line([x1 x2], [y1 y2], 'Color', 'r');
text(-1.75, 1.25, 'Rotation Matrix --', 'Color', 'g', 'FontSize', fontSize);
text(-1.75, 1.1, '30 Degree Line --', 'Color', 'r', 'FontSize', fontSize);
% Enlarge figure to full screen.
set(gcf, 'units','normalized','outerposition',[0 0 1 1]);

MATLAB: Normalize image orientation and scale

To apply PCA to an image, see this link: http://www.mathworks.com/matlabcentral/answers/167938#answer_163231 I don't think it will work, though you can try. Make sure you pass it the location of the black pixels, not the image gray levels.

I'd probably use a radon transform. See my attached demo where I use the radon transform to figure out the angle and rotate the image.

% Demo to use the radon transform to determine the angle to rotate an image to straighten it.
% Initialization / clean-up code.
clc;    % Clear the command window.
close all;  % Close all figures (except those of imtool.)
clear;  % Erase all existing variables. Or clearvars if you want.
workspace;  % Make sure the workspace panel is showing.
format long g;
format compact;
fontSize = 20;
% Read in the color demo image.
[rgbImage, colorMap] = imread('football.jpg');
subplot(2, 3, 1);
imshow(rgbImage, colorMap);
axis on;
title('Original Color Image', 'FontSize', fontSize);
% Enlarge figure to full screen.
set(gcf, 'Units', 'Normalized', 'OuterPosition', [0 0 1 1]);
% Extract the red channel and display it.
grayImage = rgbImage(:, :, 1);
subplot(2, 3, 2);
imshow(grayImage, colorMap);
axis on;
title('Red Channel Image', 'FontSize', fontSize);
% Do the Radon transform.
theta = 0:180;
[R,xp] = radon(grayImage,theta);
% Find the location of the peak of the radon transform image.
maxR = max(R(:));
[rowOfMax, columnOfMax] = find(R == maxR)
% Display the Radon Transform image.
h3 = subplot(2, 3, [3,6]);
imshow(R,[],'Xdata',theta,'Ydata',xp,...
            'InitialMagnification','fit')
axis on;
% Plot a blue circle over the max.
hold on;
plot(h3, columnOfMax, xp(rowOfMax), 'bo', 'MarkerSize', 30, 'LineWidth', 3);
line([columnOfMax, columnOfMax], [xp(end), xp(rowOfMax)+15], 'Color', 'b', 'LineWidth', 3);
caption = sprintf('Radon Transform.  Max at angle %.1f', columnOfMax);
title(caption, 'FontSize', fontSize);
xlabel('\theta (degrees)', 'FontSize', fontSize)
ylabel('x''', 'FontSize', fontSize)
colormap(h3, hot(256));
colorbar;
% The column of the max is the angle of the football --
% the angle that the projected sum (profile) will have the highest sum.
% Rotate it by minus that angle to straighten it.
rotatedImage = imrotate(rgbImage, -columnOfMax);
% Display the rotated image.
subplot(2, 3, 4);
imshow(rotatedImage);
axis on;
title('Rotated Color Image', 'FontSize', fontSize);
% Rotate perpendicular to that angle and display that rotation.
rotatedImage = imrotate(rgbImage, -columnOfMax+90);
subplot(2, 3, 5);
imshow(rotatedImage);
axis on;
title('Rotated Color Image', 'FontSize', fontSize);

Best Answer

Related Solutions

MATLAB: Tilting an ellipse on a given angle

MATLAB: Normalize image orientation and scale

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