With the increasing need of the SoC (System on a Chip) design automation tools, analog routing is attracting more and more attention. An interactive analog router called SIAR based on splitting graph model was presented in [15]. Based on SIAR, this paper presents a new splitting graph construction (SGC) algorithm to speed up the graph construction process, and thus speed up the whole analog routing process. The presented SGC algorithm has the following features: (1) auxiliary points are added according to the obstacles' corner points, (2) there is no need to construct all the grids along the boundaries of the expanded obstacles, (3) a fast polygon-to-rectangle conversion algorithm is adopted to directly construct the splitting tiles needed by the splitting graph. Experimental results are promising and show 2× speedup on average.