A new 3D morphing algorithm for polyhedral objects with the same genus is presented in this paper. The proposed algorithm first interactively partitions the two original polyhedra into the same number of polygonal patches, the patch correspondence is also established during partitioning. Then each pair of corresponding patches is parametrized and resampled by using the harmonic maps. A feature polyhedron is finally constructed for each original polyhedron. The shape transition between the original polyhedral models is accomplished by composing three successive transformations using their feature polyhedra as the bridges. Experimental results demonstrate that the algorithm is robust, and can deal with the general cases.