This paper presents an analytic extension of texture synthesis techniques based on the distribution of elementary texture components. Our approach is similar to the bombing, cellular, macrostructural and lapped textures techniques, but provides the user with more control on both the texture analysis and synthesis phases. Therefore, high quality results can be obtained for a large number of structured or stochastic textures. The analysis consists in decomposing textures into elementary components that we call "texture components". The synthesis consists in recomposing similar textures directly on arbitrary surfaces by taking into account the precomputed arrangements,extended to 3D surfaces.