How to combine multiple surfaces and extract data points (faces and vertices ) as one surface?

I have 5 surfaces in one file as a (5x1 struct with 2 fields) format, as attached. each one is made of Points(vertices) and ConnectivityList (faces). I was able to trisurf them using for loop as shown in my code. What I want is to combine them as one surface(1x1 struct with 2 fields) which has only one field of Points and only one field of ConnectivityList. so I can trisurf it and deal with it as on surface without for loop.

Thank you so much

 SurfaceN.vertices=[];
 SurfaceN.faces=[];
 for N=1:length(Surfaces);  
 SurfaceN.vertices=Surfaces(N).Points;
 SurfaceN.faces=Surfaces(N).ConnectivityList;

 S=SurfaceN;trisurf(S.faces, S.vertices(:,1),S.vertices(:,2),S.vertices(:,3),'FaceAlpha', 0.5, 'FaceColor', 'r');
 hold on
 end

The 5 surfaces:

The 5 surfaces using trisurf with for loop

Answer 1

[KSSV]

load surfaces.mat ;
coor = cell(5,1) ; 
for N=1:length(Surfaces)
    S.vertices=Surfaces(N).Points;
    S.faces=Surfaces(N).ConnectivityList;
    coor{N} = S.vertices ;
    trisurf(S.faces, S.vertices(:,1),S.vertices(:,2),S.vertices(:,3),'FaceAlpha', 0.5, 'FaceColor', 'r');
    hold on
end
coor = cell2mat(coor) ;
coor = unique(coor,'rows') ;
%
dt = delaunayTriangulation(coor(:,1),coor(:,2)) ;
x = dt.Points(:,1) ; 
y = dt.Points(:,2) ; 
%
idx = knnsearch(coor(:,1:2),[x,y]) ;
z = coor(idx,3) ;
tri = dt.ConnectivityList ;
figure
trisurf(tri,x,y,z)

[Faez Alkadi]

First of all, thanks for the help. But the final product has a problem when I use your code. It doesn't trisurf properly as shown in the picture attached. Maybe its because of the difference in the length of the vertices and faces of each face !!! _ I'm not sure about that._

[KSSV]

Yes...even I have noticed that.....I added an extra line the code...now the solution is bit better then earlier...but still few peaks are there.....will let you know if I get any solution further.

[KSSV]

I have edited the answer......now you will not get those unwanted peaks.....

[Faez Alkadi]

Thank you KSSV, I appreciate you great effort.