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In essence, what you want to do is interpolate data: You want to find a function $U(x,y)$ so that $U(x_i,y_i)=u_i$. This is then the function for which you'd like to do draw isocontours. You should take a look at books on numerical methods and search for "two-dimensional interpolation". Among the methods you will find is to triangulate your points $(x_i,y_i)...


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The only way I know of to visualise such data is to first triangulate it. Matlab can do the triangulation. See the Matlab functions 'delaunay', 'trisurf', 'pdecont'. This works if the domain is convex. If not then you need to construct the triangulation by accounting for the domain boundaries. Maybe Matlab has methods to do this, I am not very much familiar ...


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