Abstract: In term of the post-processing of topology,a construction algorithm is proposed for the volumetric parameterized model which is suitable for the finite element quadrilateral meshes and the hexahedral meshes.Firstly,a steady thermal field is applied to the finite element mesh model and the thermal field data is obtained by the finite element method according to the characteristics of thermal field.Then,a series of sub-domain segmentation operations are performed on the thermal field data,such as extracting geometric surface mesh,extracting equal-value domain,removing neighborhood overlap,finding corner point and contour line intersection on geometric boundary and dividing non-quadrilateral domain,so as to obtain all the quadrilateral sub-domains.In the end,sorting point and obtaining the control points of B splines are performed for the discrete boundary of the quadrilateral subdomains.The volume interpolation algorithm is used to realize the volume parameterization construction of complex model.The example results of 2D and 3D show that the algorithm can accurately and efficiently realize the subdomain segmentation and the volume parameterization construction of complex models that are suitable for isogeometry analysis.Our method provides a feasible approach for the post-processing of topology optimization.