Apply least squares inversion to 2-D model

Hi all, I am stuck with inversion problem! I got 2-D plot made by contourf(x,y,z). Then I need to apply least squares inversion to that plot. Don't understand mechanism of this inversion and how apply it for 2-D.

I greatly hope you can help me!

[Walter Roberson]

People would likely be more enthusiastic about helping you if you responded to comments and questions they made, and if you Accepted the solutions to your Questions.

[Aleksandra]

Will do. Thanks.