Synthetic Curves:

Additionally to simple analytic entities and curve fitting techniques, some more common methods for defining curves are needed to meet geometric design needs of many mechanical parts and other engineering difficulty. Much research has been performed throughout the past couple of decades on building better methods for representing general curves and shapes and simpler ways to manipulate them by computer. Modeling of aircraft bodies, horse saddles, shoe toes and some automobile shapes etc. are quite difficult to show by analytical curves and therefore some other special type of curves are needed. A good representation of engineering objects through curves need to have the following properties:

a. Simple to control the continuity of the curves to be designed.

b. Need less storage to show the curve in a computer.

c. Less computation time and no computational difficulty.

d. Easy to input by user.