A method of correcting a GPS vehicle trajectory of a vehicle on a roadway for a high-definition map is provided. The method comprises receiving first bitmap data from a first sensor of a first vehicle to create a plurality of first multi-layer bitmaps for the first vehicle using the first bitmap data and receiving second bitmap data from a plurality of second sensors of a plurality of second vehicles to create a plurality of second multi-layer bitmaps. The method further comprises creating first probability density bitmaps and an overall probability density bitmap with a probability density estimation, and matching an image template from each of the first probability density bitmaps with the overall probability density bitmap to define match results. The method further comprises combining the match results to define combined utility values and determining the maximal utility value with the combined utility values.