This work takes place in the context of an industrial project, which aims to decorate 3D plastic objects using Insert Molding technology. The goal of our work is to compute the decoration of 3D virtual objects, using data coming from polymer film characterisation and mechanical simulation. To do this, we introduce a new method to bind texture mapping techniques to a physical process. In the general case of texture mapping, the surface (mesh) adapts the texture through the parameterization. In our context, the mesh comes from a physical distortion of an initial planar mesh, and our goal is to find the texture attached to the initial object, which gives the expected result after distortion. This texture combines information from several mapped images, which are visible from various views of the 3D objects. Moreover we want the texture mapping to be locally exact for all thess views. To achieve this goal, a specific view-dependent parameterization is defined and the inverse transformation is applied to the mesh. Since the industrial project is not finished yet, we validate our process by texturing two simple real objects.