Convert polygon grid to cartesian grid

Hi,

I have a vector with data in the form of vertex values (var2) and a vector indicating which vertices to connect (var1).

whos var1 var2
Name     Size
var1     110622x6
var2      84968x2

I've managed to plot using the patch function:

PATCH('Faces',var1,'Vertices',var2) 

I'd like to know how to convert this data to a cartesian grid. I already tried to create a grid and traverse each element of the vertices values to fill this grid. This work but since this approach doesn't consider how to connect the vertices, the new shape is wrong.

Can anyone point me a way to solve this?

Thanks.