Movemesh23 and move solution for visualisation

General Discussion
1

For a parameterised sphere,

if we solve a problem in the parameter space, for example (0, 2pi) x (0, pi)

we can use movemesh23() to generate the mesh of a sphere quickly,

my question is: how can we move the solution to the sphere for visualisation – ideally a node to node transfer such as us[] = u[] ?

To clarify my question: we have a flat 2D mesh Th

fespace Vh(Th, P1, periodic=[[2, y], [4, y]]);

Vh u.
...

meshS ThS = movemesh23(Th, transfo=[a*sin(y)cos(x),asin(y)sin(x),acos(y)],removeduplicate=1);

fespace VhS(ThS, P1);
VhS us;

How can we move u to us?