intensity plotlinear fit
% Code to detect angle of a blob.
% By Image Analyst
clc; % Clear the command window.
fprintf('Beginning to run %s.m ...\n', mfilename);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 = 15;%--------------------------------------------------------------------------------------------------------
% READ IN IMAGE
folder = pwd;baseFileName = 'ZoomIn_100f.jpg';% Get the full filename, with path prepended.
fullFileName = fullfile(folder, baseFileName);% Check if file exists.
if ~exist(fullFileName, 'file') % The file doesn't exist -- didn't find it there in that folder.
% Check the entire search path (other folders) for the file by stripping off the folder.
fullFileNameOnSearchPath = baseFileName; % No path this time.
if ~exist(fullFileNameOnSearchPath, 'file') % Still didn't find it. Alert user.
errorMessage = sprintf('Error: %s does not exist in the search path folders.', fullFileName); uiwait(warndlg(errorMessage)); return; endendgrayImage = imread(fullFileName);% Get the dimensions of the image.
% numberOfColorChannels should be = 1 for a gray scale image, and 3 for an RGB color image.
[rows, columns, numberOfColorChannels] = size(grayImage);if numberOfColorChannels > 1 % It's not really gray scale like we expected - it's color.
% Use weighted sum of ALL channels to create a gray scale image.
% grayImage = rgb2gray(grayImage);
% ALTERNATE METHOD: Convert it to gray scale by taking only the green channel,
% which in a typical snapshot will be the least noisy channel.
grayImage = grayImage(:, :, 1); % Take red channel.
end% Crop it to the right lines.
% grayImage = grayImage(1750:2250, 800:end);
subplot(2, 2, 1);imshow(grayImage, []);impixelinfo;title('Red Channel Image', 'FontSize', fontSize, 'Interpreter', 'None');hFig = gcf;hFig.WindowState = 'maximized'; % May not work in earlier versions of MATLAB.
drawnow;subplot(2, 2, 2);imhist(grayImage);grid on;title('Histogram of Original Image', 'FontSize', fontSize, 'Interpreter', 'None');%--------------------------------------------------------------------------------------------------------% SEGMENTATION OF IMAGE
% Get a binary image by interactively thresholding using the function at
% https://www.mathworks.com/matlabcentral/fileexchange/29372-thresholding-an-image
% 91 seems good for this image.
lowThreshold = 91;highThreshold = 255;% [lowThreshold, highThreshold] = threshold(lowThreshold, highThreshold, grayImage)
mask = grayImage > lowThreshold & grayImage < highThreshold;mask = imclearborder(mask);mask = imfill(mask, 'holes');% Take largest blobs.
mask = bwareafilt(mask, 1);subplot(2, 2, 3);imshow(mask, []);impixelinfo;caption = sprintf('Mask of White SemiCircles');title(caption, 'FontSize', fontSize, 'Interpreter', 'None');% Measure centroid and orientation.
props = regionprops(mask, 'Centroid', 'Orientation')xCenter = props.Centroid(1);yCenter = props.Centroid(2);hold on;plot(xCenter, yCenter, 'r+', 'MarkerSize', 40, 'LineWidth', 2);% Display the masked image.
subplot(2, 2, 4);overlayImage = imoverlay(grayImage, mask, 'r');imshow(overlayImage, []);impixelinfo;caption = sprintf('Masked Image. Angle = %.2f degrees.', props.Orientation);title(caption, 'FontSize', fontSize, 'Interpreter', 'None');hFig = gcf;hFig.WindowState = 'maximized'; % May not work in earlier versions of MATLAB.drawnow;% Make a line at that angle at the centroid.
slope = tan(props.Orientation)x = 1 : columns;y = slope * (x - xCenter) + yCenter;hold on;plot(x, y, 'r-', 'LineWidth', 2);fprintf('Done running %s.m ...\n', mfilename);
% 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 equalgrid 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]);
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