A bidirectional texture function (BTF) synthesizer serves to synthesize BTFs on arbitrary manifold surfaces using "surface textons" given a sample BTF as an input. The synthesized BTFs fit the surface geometry naturally and seamlessly, and not only look similar to a sample BTF in all viewing and lighting conditions, but also exhibit a consistent mesostructure when the viewing and lighting directions change. Further, the synthesized BTFs capture the fine-scale shadows, occlusions, and specularities caused by surface mesostructures, thereby improving the perceived realism of the textured surfaces. In addition, the BTF synthesizer can describe real-world textures to allow a user to decorate real-world geometry with real-world textures. Finally, BTF synthesis using surface textons works well for any materials that can be described by three-dimensional textons.