Read about delaunayTriangulation
load('vertices.mat');
x = vertices(:,1) ;
y = vertices(:,2) ;
z = vertices(:,3) ;
dt = delaunayTriangulation(x,y) ;
tri = dt.ConnectivityList ;
x = dt.Points(:,1) ;
y = dt.Points(:,2) ;
trisurf(tri,x,y,z)
shading interp
view(2)
If you have edges in hand.......provide them and avoid the unnecessary connections. Also have a look on alphashape
