The MURALE project develops novel tools for the recording and reconstruction of archaeological finds. Central issues are the flexibility and user-friendliness of these tools. Therefore, the type of operation required must not be more complex than taking photographs, and the devices should be portable so that they can be brought onto the site. The project has developed such tools for the acquisition of 3D models, and this for objects of different sizes. These models can then be used to produce virtual sites, that people can visit from remote locations. 3D shapes are only part of the information needed to build the models. At least as important for the creation of a veridical impression are the textures that are mapped onto the surfaces. The contribution presents recent MURALE work on the synthesis of textures of building materials and landscape vegetations, with as only input that is required example images of these textures. Based on the latter, texture models are extracted, that allow for the synthesis of as much of similar texture as needed. An important advantage of the stochastic teture approach is that no verbatim copying takes place, thereby avoiding artificial repetitions in the texture.