This project was dedidcated to the construction of the hybrid representation for the heterogeneous objects. The proposed hybrid representation is based on the combination of the Function Representation with one of the following distance fiedls, namely Signed Distance Fields, Adaptively Sampled Distance Fields and Interior Distance fields. The proposed mathematical and algorithmic framework provides a starting point for defining materials and various other attributes in interior of the volumetrioc obejcts using introduced hybrid approach. The generated objects can be static or dynamic with rather complex interior structure.