MATLAB: How can i get a smooth curve for a singly curved shell ,surface plot for a 4*4 mesh.I cannot increase the mesh size.

meshgridsurf

 Co-ordinates      X          Y                  Z
                   0                   0   0.000000000000000
                   0   0.019050000000000   0.000000000000000
                   0   0.038100000000000   0.000000000000000
                   0   0.057150000000000   0.000000000000000
                   0   0.076200000000000   0.000000000000000
   0.025368945899734                   0   0.001269599062100
   0.025368945899734   0.019050000000000   0.001269599062100
   0.025368945899734   0.038100000000000   0.001269599062100
   0.025368945899734   0.057150000000000   0.001269599062100
   0.025368945899734   0.076200000000000   0.001269599062100
   0.050766112417292                   0   0.001692955556747
   0.050766112417292   0.019050000000000   0.001692955556747
   0.050766112417292   0.038100000000000   0.001692955556747
   0.050766112417292   0.057150000000000   0.001692955556747
   0.050766112417292   0.076200000000000   0.001692955556747
   0.076163278934849                   0   0.001269599062100
   0.076163278934849   0.019050000000000   0.001269599062100
   0.076163278934849   0.038100000000000   0.001269599062100
   0.076163278934849   0.057150000000000   0.001269599062100
   0.076163278934849   0.076200000000000   0.001269599062100
   0.101532224834583                   0   0.000000000000000
   0.101532224834583   0.019050000000000   0.000000000000000
   0.101532224834583   0.038100000000000   0.000000000000000
   0.101532224834583   0.057150000000000   0.000000000000000
   0.101532224834583   0.076200000000000   0.000000000000000

Best Answer

Reduce the plot size until the largest axis is represented by adjacent pixels. The mesh plot will then be smooth.
Short of this, you need to decide what values the surface should have in-between your existing points, which will require doing a bunch of interpolation. You cannot, however, do interpolation without having an interpolating function. A linear interpolation function will not do you any good: that would result in a surface just as flat as you are already seeing.
If there are known equations for the datapoints, f(x,y), then you could apply the equation to the intermediate points. This could involve fitting some parameters of the equations.
If the equations for the datapoints are unknown, then you can choose an arbitrary interpolating function, for the sole purpose of making the surface look nice, without any concern about whether the values in-between are meaningful. There are routines available that help construct spline interpolations; people seem to like those routines. Myself I think they get badly overused, that people have entirely too much tendency to confuse the spline surface with being real information about the behavior of the function, but that's my opinion and others disagree. You could look at John D'errico's work in the File Exchange.
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