i have create a figure like circle

i have to create a figure like this picture. Given value is r= 262pixel, Wmax= 10.6pi , equation is w=Wmax*(1-(x^2+y^2)/(r^2))^2 , x and y are two variables, we cannot know their values.x and y are satisfied the following condition:

sqrt(x^2+y^2)<=r.

i did code this one . but this isn't working. plz anyone help me what is the wrong here. i will be greatful to you.

clear all

format long

r=262;

Wmax=10.6*pi;

syms x y;

xlabel('x')

ylabel('y')

if sqrt(x^2+y^2)>=r

w=0;

elseif sqrt(x^2+y^2)<r

w=Wmax*(1-(x^2+y^2)/r^2)^2;

end

plot(w)

Answer 1

[DGM]

Try something like this.

% parameters
rmax = 262;
Wmax= 10.6*pi;

% create values
x = -rmax:rmax;
y = x.';
rsq = (x.^2 + y.^2);
w = Wmax*(1-rsq/(rmax^2)).^2;

% truncate background
mk = rsq > rmax^2;
w(mk) = 0;

% show result
imshow(w,[])

[Rezaul hasan]

thanks for answering. can you plz use this eqaution 1-cosw . after using your code, which one you just gave. you will get graph like this. plz send the code after finding graphs.

[DGM]

You mean this?

% parameters
rmax = 262;
Wmax= 10.6*pi;

% create values
x = -rmax:rmax;
y = x.';
rsq = (x.^2 + y.^2);
w = Wmax*(1-rsq/(rmax^2)).^2;
w = 1-cos(w);

% truncate background
mk = rsq > rmax^2;
w(mk) = 0;

% show result
imshow(w,[])