This paper proposes a remeshing and multiresolution reconstruction approach based on Laplacian fields. The method starts with the establishment of Laplacian field on an original mesh, and then generates two groups of flow lines with 60° rotation. Finally, a rhombus-dominant mesh is constructed and triangulated into a triangular base-mesh. The method is used again to upsample the original mesh by refining the base-mesh model in order to produce a multiresolution representation. In general, the triangles of the resulting meshes are close to be equilateral. Experiments also show that the method may yield results of high quality.