A method for labeling a segment of a two-dimensional input path defined according to a nonzero winding rule as either interior or exterior is described. A winding number is initialized. A scan line that intersects the segment is identified. For each contour of the input path, winding values are accumulated into the winding number for any segments of the contour that cross the identified scan line, where the accumulation for coincident segments that cross the identified scan line at a same location as the segment is postponed. These coincident segments are marked and saved in a list. The labeling of the segment as either interior or exterior is determined from the list and the winding number.