Hi Sachin,
You can utilize vectorized operations to achieve the transformations. A simple workflow is shown below:
% Creating a Cartesian Meshgrid
x = linspace(-5, 5, 10);
y = linspace(-5, 5, 10);
[X, Y] = meshgrid(x, y);
% Visualize the Original Cartesian Space
figure;
subplot(1, 2, 1);
pcolor(X, Y, zeros(size(X)));
shading flat;
colorbar;
xlabel('X');
ylabel('Y');
title('Original Cartesian Grid');
axis equal;
% Convert from Cartesian to Polar Coordinates
R = sqrt(X.^2 + Y.^2);
Theta = atan2(Y, X);
% Example calculation in Polar Coordinates
Z = sin(R) .* cos(Theta);
% Convert Polar Back to Cartesian
X_prime = R .* cos(Theta);
Y_prime = R .* sin(Theta);
% Visualize the Transformed Data
subplot(1, 2, 2);
pcolor(X_prime, Y_prime, Z);
shading interp;
colorbar;
xlabel('X');
ylabel('Y');
title('Transformed Data in Cartesian Coordinates');
axis equal;
If you have specific issues with your data or woflow, share the code in comment.
