RUN SLICE LINE DRAW ENGINE WITH NON-LINEAR SCALING CAPABILITIES

A graphics controller for use in a computer system includes a run slice line draw engine to generate a line as a plurality of slices. The run slice line draw engine can perform non-linear scaling and shading of lines in accordance with a parametric equation by approximating the parametric equation as a polyline with a plurality of linear segments. The polyline approximation can be generated using information concerning each derivative of the parametric equation. Each linear segment of the polyline includes a plurality of slices generated by the run slice line draw engine. By approximating the polyline as a plurality of linear segments, non-linear scaling and/or shading by the run slice line draw engine can be performed without complex mathematical computations.