LONGITUDINAL-LIMITED LANE MARKING LOCALIZER

System, methods, and computer-readable media for localizing an autonomous vehicle to a location in a stored LIDAR map relative to lane markings labeled in the stored LIDAR map. The labeled lane marking may be associated with a dashed line, a solid line, a double line, or an unmarked line. The autonomous vehicle may fit the set of lane marking points with the labeled lane marking via a point-to-line solver that locates the set of lane marking points to the line, excluding a longitudinal variable. The lane matching localizing system utilities a point-to-line iterative closet point, wherein the matched point pairs are calculated by perpendicular point of line from the query point instead of finding the closest sampled point.