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This paper addresses an issue on geometric constraint modelling system for 5-axes response surface graph on the basis of free-form boundary planar cubic B-spline curves. The 5-axes response surface graph is an advancement of response surface methodology (RSM) that basically a useful optimization technique used to identify critical design parameters, as well as to select optimal settings and to find compromise in the conflicting requirements. It is evidence that designing free-form curves and surfaces requires highly identification of exact locus of the control points that would act as connectivity of the surface. Then, segmentation, or fairing line, can be done through generating cross-boundary curves which entirely will form control polyhedra of the surface. Here fitting process derives the boundary planar cubic B-spline curves, cross-boundary curves, and its control polyhedra. Ultimately, a composite B-spline surface can be estimated to shape following the control polyhedra.