Computer system and method for interference checking of polyhedra using capping polygons

A computer graphics system configured to allow a user to move at least one sectioning plane about at least one polyhedron having a plurality of polygons and to display, if necessary, an interference area between the plurality of polygons is disclosed. The computer graphics system first comprises at least one processor and at least one memory unit configured with the computer graphics system to process data. The computer graphics system further comprises an input device configured with the computer graphics system to allow the user to specify the at least one sectioning plane. The computer graphics system further comprises an interference checking module configured with the computer graphics system to generate an interference cap polygon indicative of the interference area. The computer graphics system further comprises a display device configured with the computer graphics system to display the interference cap polygon.