We propose a new and effective image modeling dual technique which is capable of simulating both texture image synthesis and non-texture images like fractals. The technique uses the algebraic approach of graph grammars theory as a new simulation tool for both texture and non-texture image synthesis via its graph production, derivation and double-pushout construction. Validation of our approach is given by discussion and an illustration of some experimental results. An investigation of the relationships between the generated patterns and their corresponding graph grammars is also discussed.