Abstract: Most existing deformation methods just focus on real-time feedback, detail preserving and flexible interaction. However, the rigidity inside model was ignored. As a result, unintuitive volume variation often occurs, and geometric details cannot be preserved any more. To address this problem, we propose an as-rigid-as-possible mesh deformation algorithm based on volumetric graph method to prevent volumetric distortion. First, a simple volumetric graph related to the model to be deformed is defined. Then, deformation cells on surface, deformation cells inside the model and deformation cells on the boundary of the volumetric graph are constructed respectively, and their weights are calculated. Finally, we employ as-rigid-as-possible deformation method to achieve detail preservation as well as global rigid deformation. In addition, our method introduces the material attributes of model to the deformation, which enables users to control local deformation easily. The new method is of easy operation and high practicality, which improves the overall rigidity of models greatly. Experimental results show that our method's effectiveness.