Convert x,y,z data to surface matrices(2D array)

Hello Everyone

i have an isosurfcae , the output of isosurfcae function is:

vertices: (27812x3)

faces:(55620x3)

so x ,y and z of this isosurface are: x=vertices(:,1), x=vertices(:,2),z=vertices(:,3)

i need to convert the vertices of this isosurface to 3 array of 2D matrices, somthing like

XX(:,:) YY(:,:) ZZ(:,:)

because there is a kernel in matlab which is called surfature to calculate curvature of a surface.the input of this function is 3 arrays of 2D matrices as x,y,z.

does anyone know how to do it?

[darova]

What about griddata? Can you show the surface?

[Arash Hajisharifi]

consider a sphere , which i extracted the data from isosurface function.

also i have attached the output of isosurface(which is a structure) that is called results.mat

Answer 1

[darova]

Make new mesh in spherical

V = p.vertices;

for i = 1:3
    V(:,i) = V(:,i)-mean(V(:,i));       % move to origin
end
    % convert to spherical coordinates
[t1,p1,r1] = cart2sph(V(:,1),V(:,2),V(:,3));
    % create new mesh (2D matrices)
tt = linspace(min(t1),max(t1),100);
pp = linspace(min(p1),max(p1),100);
[P,T] = meshgrid(pp,tt);
R = griddata(p1,t1,r1,P,T);
    % convert to cartesian
[X,Y,Z] = sph2cart(T,P,R);

hold on
h1 = surf(X,Y,Z);
% set(h1,'EdgeColor','none')
hold off
camlight
axis equal

Little issue

[Arash Hajisharifi]

thank you so much for your anwer, it worked,

but is there a way to convert it directly without transfering to spherical coordinating and then transfer it back again to cartesian coordinate?

[darova]

There are no other ways. This is the only one (and the best)