An antialiasing method and apparatus suitable for antialiasing a variety of image types, including fonts, large images, and very small images. The antialiasing technique may represent the edge of a line, curve or region as a series of line segments. These line segments are then traversed to convolute the line segment approximating the contours of the image with a desired filter function. A filter function is also disclosed for antialiasing the edges of a line, curve or region, which may be employed when the edge is represented by a series of line segments. The antialiasing filter tends to centers the spectral energy of an image on the sampled area.