How to arrange a periodic array consisted of precise unit-cells on a complex surface has always been a difficulty affecting the application of frequency selective structures. Based on the elastic deformation theory of thin-shell, a perfect mapping between a curved surface and a planar array by using the weighted minimum distortion flat-unfolding solution of the surface is established, and then extended to the 3-Dimensional (3D) case along the thickness direction. With the help of this mapping, the information of unitcell can be mapped to the thick surface structure while maintaining the topological properties of the planar periodic array and the internal structure of the unit-cell. In the mapping process, the deformation of unit-cell on the thick surface structure relative to the original unit-cell can be evaluated, and this deformation has local adjustability. This manuscript provides a class of local unit-cell deformation control algorithms that do not affect the completeness of the mapping. The application effect and potential of this method are demonstrated by an example of a spliced conical radome using a three-layer hybrid unit-cell.