File talk:Squircle circle square.png
The messy and inefficient code for all of the squircle images:
clear
x = ([1:512]-256.5);
z = ones(512,1)*(x.^2);
x = ones(512,1)*x;
y = x';
r = sqrt(z'+z);
circle = (r > 199 & r < 201);
x = ([1:512]-256.5);
z = ones(512,1)*(x.^4);
x = ones(512,1)*x;
y = x';
r = sqrt(sqrt(z'+z));
squirc = (r > 199 & r < 201);
const = circle | squirc;
figure(1)
colormap(gray(256))
imagesc(~circle)
axis equal tight
figure(2)
colormap(gray)
imagesc(~squirc)
axis equal tight
figure(3)
colormap(gray)
imagesc(~const)
axis equal tight
rectangle ('position',[56 56 400 400])
figure(4)
colormap(gray)
imagesc(~squirc)
axis equal tight
rectangle ('position',[56.5 56.5 400 400], 'curvature',[0.5 0.5],'edgecolor','r')
