How to revolve 1D vector into a 2D matrix with sub-pixel interpolation?

Hi,

I would like take a 1D vector and revlove it about an endpoint to create a 2D image with the values of the original vector interpolated over the rotation.

This seems like a surface of revolution problem.

I tried to do this using the 2D filter tool ftrans2() as below:

N = 111;
a = zeros(N,1);
center = round(N/2);
offset = 30;

a([center-offset,center+offset]) = .25;
a([center-offset+1,center+offset-1]) = .75;

plot(a)

h = ftrans2(a');
imagesc(h)

Thanks for the help

Matt

Answer 1

[Matt Southwick]

Found a solution from Pau GALLES in another thread

   [rx,ry]=meshgrid( -order/2:order/2 , -order/2:order/2 );
    r = hypot( rx , ry );
    halfb = b((length(b)-1)/2 + 1 : end );
    vq = interp1( 0:(length(halfb)-1) , halfb , r(:) , 'linear' , 0 );
    W=r; W(:)=vq;

https://www.mathworks.com/matlabcentral/answers/69071-creating-a-solid-surface-of-revolution-from-discrete-data#answer_247469

Thank you Pau.

Also works for 1D curve to 3D as follows

[rx,ry,rz]=meshgrid( -order/2:order/2 , -order/2:order/2,-order/2:order/2 );
r = sqrt(rx.^2+ry.^2+rz.^2);
halfb = b((length(b)-1)/2 + 1 : end );
vq = interp1( 0:(length(halfb)-1) , halfb , r(:) , 'linear' , 0 );
W=r; W(:)=vq;