A function approximation processing method comprises inputting and binarizing image data, extracting contour from the binarized image data, estimating tangent points in horizontal and vertical directions from the contour, and approximating contour between adjacent tangent points among the estimated tangent points with a predetermined function, thereby an input object such as a character or a figure can be processed at high speed, and outline data with high image quality can be generated with a reduced number of points.