Existing anti-aliasing methods are mostly applied during the image generation process. The limitations of these methods are that they require a lot of processing time and/or large memory space. Bloomenthal suggested a post-filtering method based on line fitting. In this paper, we describe a similar post-filtering method but is based on curve fitting. The advantage of the new method over Bloomenthal's method are that the shapes of the filtered objects do not change according to which pixels being selected as a first pixels for fitting and that curves fitting is considered more appropriate for object contours than line fitting. To improve efficiency, we identify all possible curves that may appear in a fitting operation in advance and store the information in a lookup table. Fitting a curve to a sequence of pixels becomes a simple table lookup operation.