Design of Free – Form Planar Closed Curves Using Four Point Interpolation

Abstract

It is desirable to construct a free-form closed curve, since large numbers ofmechanical elements follow these curves. In this work we present a parametricinterpolation for construction a free form closed curves using four point interpolationtechnique. The problems and solutions approach for closing open or disjoint curves isdemonstrated taking C1 continuity as a criterion for the solution of these problems.When the coordinates of any number of control points are introduced, the proposedalgorithm constructs and closed the intended curve. The designer is free to vary andmanipulate these control points to change the shape of the desired curve.