This work proposes a scheme which helps digitizing hand printed and electronic planar objects or vectorizing the generic shapes. An evolutionary optimization technique namely Genetic Algorithm (GA) is used to solve the problem of curve fitting with a cubic spline function. GA works well for finding the optimal values of shape parameters in the description of the proposed cubic spline. The underlying scheme comprises of various phases including data of the image outlines, detection of corner points, using GA for optimal values of shape parameters, and fitting curve using cubic spline to the detected corner points.