Abstract: An optimal fairing algorithm for planar parametric cubic spline curves is proposed
based on revising gene and revising angle. Faired point can be obtained by resolving a objective
function of containing modifying gene  and revising angle  and faired curves is obtained by
interpolating the faired point. The purpose of this algorithm is to make the change of curvature of
faired curves more gradual and its deviation from the initial curves smaller. It is shown that the
algorithm is simply facile and needs a smaller calculation.

Key words: computer application, optimal fairing algorithm, revising gene, revising angle;
parametric cubic spline curves