Visualization methodology for pure Lithuanian diphthongs that are influenced by neighbouring phonemes are presented. Ohman and Rule-based coarticulation control models are integrated. Rules for Lithuanian diphthong animation are defined based on Lithuanian phonology. Most of them can be realized using Ohman control model, others use linear interpolation of expressiveness parameters. The proposed coarticulation model can be successfully applied to define expressiveness coefficients in viseme-driven speech animation engines.