2d density map in non rectangular region

I want to make this graph but instead of discrete points i want it to be a smooth color gradient. How can i do this? Every solution i found so far works with meshgrid which is not so good for this geometry. Thanks!

Code to generate the graph in the picture:

data = load('data_Temperature_T.dat');

x = data(:,1);

y = data(:,2);

T = data(:,3);

figure;

scatter(x, y, 20, T, 'filled');

axis equal tight;

colorbar;

xlabel('x'); ylabel('y');

title('Temperature');

Answer 1

[Star Strider]

It would help to have your data, since I cannot reproduce those curves here.

Try something like this --

n = 50;
a = linspace(pi, pi/2, n);
r = linspace(4, 20, n)*0.01;
x = [0.02*cos(a); r.*cos(a)].';
y = [0.05*sin(a); r.*sin(a)].';

figure
plot(x, y)
axis('equal')

c = [linspace(0, 0.5, n); linspace(0, 0.5, n)].';

figure
patch([x(:,1); flip(x(:,2))], [y(:,1); flip(y(:,2))], [c(:,1); flip(c(:,2))])
axis('equal')

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