In this paper

an approach to the construction of cubic curves and surfaces is giv-en.In case the values of the function are known

the cubic curves of B-splinetype that depend on“the approximated parameter”are presented.The method thuspresented to give the cubic curves combine the method of spline interpolation withthat of spline fitting.In case the values of the function and its derivative areknown.The cubic curves of Bezier type with“the derivative parameter”are pre-sented.The often used cubic curves of the Bezier aud those of the Hermite in-terpolation are then the special cases of the cubic curves presented.