This paper proposes a new method for mapping volume models of human tissues onto a target volume with simple shapes. The proposed method is based on our modified self-organizing deformable model (mSDM)1, 2 which finds the one-to-one mapping with no foldovers between arbitrary surface model and a target surface. By extending mSDM to apply to volume models, the proposed method, called volumetric SDM (vSDM), establishes the one-to-one correspondence between the tissue volume model and its target volume. At the same time, vSDM can preserve geometrical properties of the original model before and after mapping. This characteristic of vSDM makes it easy to find the correspondence between tissue models.