A tape course generator produces tape course definitions for use in programming a CNC composite tape lamination machine. The tape course generator includes a reference surface parameterizer that maps a contoured surface onto a parametric reference surface, and a reference plane instantiator that maps the reference surface onto a reference plane. The tape course generator also includes a tape boundary plotter that plots a tape boundary, and a boundary mapper that maps the tape boundary and a ply boundary into the reference plane. In addition, the tape course generator includes an intersection locator that identifies intersections of the ply boundary and the tape boundary, and a tape course delimiter that defines tape cuts and determines which points in the reference plane are within a tape course. Moreover, the tape course generator includes a tape course transformer that maps the defined tape course back onto the contoured surface.