Abstract: To ease the shrinkage problem of dual mesh, a novel dual mesh generating method based on global energy optimization is proposed. The method builds an energy optimization model from three angles: original mesh reconstruction, feature preservation and dual mesh quality optimization. The vertex positions of dual mesh can be obtained by solving a sparse linear system. Benefited from the energy function of reconstruction constraint, original mesh can be reconstructed easily by using reconstruction constraint matrix and the vertex positions of dual mesh. Experimental results show that our method eases the shrinkage problem and can be applied to any mesh with arbitrary topology. A mesh editing algorithm with geometric feature preservation based on the generating method is proposed.