Hi,
To create a contour map and a movie that visualizes the spatial temperature distribution over time using MATLAB, start by organizing your temperature data corresponding to the sensor coordinates. Use “griddata” to interpolate this data over a grid due to the uneven sensor distribution. For each time step, generate contour plots with “contourf” to visualize the temperature distribution, using a color gradient to indicate different levels.
Capture these visualizations as a movie using “VideoWriter” function, compiling frames into a cohesive video to show how the distribution evolves.
Please refer to the following example code demonstrating the process described above:
% Sensor coordinates
sensorX = [27, 63, 63, 54, 130, 179.5, 179.5, 196, 103, 196];
sensorY = [13.4, 28.8, 113.2, 144, 3.8, 28.8, 115.5, 129.6, 71, 67];
% Example temperature data for 10 time steps
% Replace this with your actual data
temperatureData = rand(10, numel(sensorX)); % Random data for illustration
% Grid for contour plotting
xlin = linspace(0, 230, 47);
ylin = linspace(0, 160, 33);
[X, Y] = meshgrid(xlin, ylin);
% Set up the video writer
v = VideoWriter('temperature_distribution.avi');
open(v);
% Loop through each time step
for t = 1:size(temperatureData, 1)
% Interpolate the temperature data onto the grid
Z = griddata(sensorX, sensorY, temperatureData(t, :), X, Y, 'cubic');
% Plot the contour map
contourf(X, Y, Z, 20, 'LineColor', 'none');
colorbar;
axis equal;
axis([0 230 0 160]);
% Capture the plot as a frame
frame = getframe(gcf);
writeVideo(v, frame);
pause(0.1); % Pause for a short duration for visualization
end
% Close the video writer
close(v);
I hope the solution provided above is helpful.
