How can I incorporate the angle of orientation in my colourmap?

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Hi,
I am currently producing colourmaps for my degree of orientation data. This data varies between 0-180 degrees. Producing colormaps works nicely, however, I am thinking there might be a better way to demonstrate angle.
Is it possible for each data point to be a line, which represents the angle at said data point? i.e. at 180 degrees, it is a vertical line.
This is my current code for my colormap:
%Import the data in from excel
num = xlsread('ExampleData')
% Reshape the intensity vector into a matrix
[xUnq,~,xIdx] = unique(num(:,1));
[yUnq,~,yIdx] = unique(num(:,2));
zMat = nan(numel(yUnq),numel(xUnq));
zIdx = sub2ind(size(zMat),yIdx,xIdx);
zMat(zIdx) = num(:,3);
% Plot contour
contourf(xUnq,yUnq,zMat)
pcolor(xUnq,yUnq,zMat)
shading interp
colorbar
% Label colour bar
c = colorbar;
c.Label.String = ('Degree of Orientation (\theta)');
ylabel('\mu m')
xlabel( '\mu m')
title('title')
I have attached some example data I have been playing with:

Accepted Answer

Turlough Hughes
Turlough Hughes on 1 Feb 2022
To represent the orientations with arrows, you could a quiver plot as follows:
%Import the data
data = readmatrix('https://uk.mathworks.com/matlabcentral/answers/uploaded_files/880780/ExampleData.xlsx');
figure()
theta = data(:,3);
quiver(data(:,1),data(:,2),cosd(theta),sind(theta),'LineWidth',2, ...
'AutoScaleFactor', 0.6)
ylabel([char(181) 'm']) % char(181) is just a preference
xlabel([char(181) 'm'])
title('Orientation Map')
axis padded
set(gca,'FontSize',14)
  2 Comments
Turlough Hughes
Turlough Hughes on 1 Feb 2022
You can scale the third and fourth inputs to quiver as follows:
data = readmatrix('https://uk.mathworks.com/matlabcentral/answers/uploaded_files/880780/ExampleData.xlsx');
figure()
theta = data(:,3);
s = 0.4;
quiver(data(:,1),data(:,2),s*cosd(theta),s*sind(theta),'LineWidth',2, ...
'AutoScale', 'off', 'MaxHeadSize', 0.1)
axis equal
ylabel([char(181) 'm']) % char(181) is just a preference
xlabel([char(181) 'm'])
title('Orientation Map')
axis padded
set(gca,'FontSize',14)

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