generate a plane that has the coordinates of a 3D matrix as its boundary

Hi. I have coordinates of nodes in space ('C'). I would like to generate a plane that has the coordinates of 'C' as an outline.

I am using this code but, as you can see in the figure, the generated 'V_new' plane does not follow the 'C' coordinates exactly. Any suggestions for improving the code?

load C.mat

[~,poly] = freeBoundary(delaunayTriangulation(C(:,1:2)));
[~,loc] = ismember(poly,C(:,1:2),'rows');
V = num2cell([poly,C(loc,3)],1);

V_new = [V{1,1}, V{1,2}, V{1,3}];

figure
patch(V_new(:,1), V_new(:,2),V_new(:,3),'k');
hold on
plot3(C(:,1),C(:,2),C(:,3),'g.','Markersize',20);
axis equal

Answer 1

[Bruno Luong]

Why don't you do the very obvious?

load('C.mat')
patch(C(:,1),C(:,2),C(:,3),'k')
hold on
plot3(C(:,1),C(:,2),C(:,3),'g.','Markersize',20);
axis equal

[Alberto Acri]

I agree with you!