A method for extracting line segments from an edge image comprises receiving a digital image comprising a plurality of edge pixels, and processing the plurality of edge pixels using a breadth first search to determine a plurality of breadth first search pixels in a breadth first search order for a connected component. The connected component comprises a plurality of components. The method continues by processing the plurality of breadth first search pixels in an order related to the breadth first search order to determine a plurality of component pixels for at least one component of the plurality of components. Each of the plurality of components comprises a line segment. The method concludes by processing the plurality of component pixels to determine a plurality of line segment pixels for the line segment.