Recently,　the　methods　of　judging　spatial　topological　relations　mainly　concentrate　in　the　fields　of　plane　and　three-dimensional　space.　To　overcome　this　shortage,　a　method　of　judging　topological　relationships　between　a　point　and　a　polyhedron　was　proposed　by　studying　the　definite　proportion　and　division　point　formula　of　line　segments.　The　method　improves　the　performance　of　spatial　interpolation　progress　by　its　application.　©　2013　Springer-Verlag　Berlin　Heidelberg.