This paper introduces a new method to bind the techniques of texture mapping to a physical process. In the general case of texture mapping, the surface (mesh) adapts to the texture through the parameterization. In our context, the mesh comes from a physical distortion of an initial plane mesh, and our goal is to find the texture attached to the initial object, which gives the wanted result after distortion. To achieve this goal, a specific parameterization is defined and the inverse transformation is applied to the mesh.