A Method of Deviation for Drawing Implicit Curves

In contrast to the mid point technique, which may not be successful in a region where two edges of a curve cross each other, this paper introduces a unified approach called Method of Deviation that draws digital curve transforming the implicit equation of analog curve into algorithm. The method involves finding the deviation of the location of the pixel from the location of the corresponding point on the analog curve. The method is applied to implicit curves of degree three (Folium of Descartes), four (Cassini Ovals) and on the curve y – sin(1/x) = 0. The curves drawn are always one pixel wide even at the singular points. For some of the curves (e.g. Folium of Descartes, Cassini Ovals) integer arithmetic is sufficient, but for some other curves (e.g. y – sin(1/x) = 0) floating point arithmetic is required.