An owner of a lot or of land bounding and abutting upon a proposed improvement, claiming that he or she will sustain damage by reason of the improvement, shall present such claim to the Board of Revision of Assessments within two weeks after the service of notice or the completion of the publication herein provided for. Such claim shall be in writing and shall set forth the amount of damages claimed, with a general description of the property with respect to which it is claimed the damage will accrue, and shall be filed at the office of the Finance Director. Any owner who fails so to do shall be deemed to have waived such damages, and shall be barred from filing a claim which will obviously result from the improvement, but shall not deprive the owner of his or her right to recover damages arising, without his or her fault, from the acts of the Municipality or its agents. If, subsequent to the filing of such claim, the owner sells the property, or any part thereof, the assignee has the same right to damages which the owner would have had without the transfer. The Board of Revision of Assessments shall report to the Council all such claims for damages filed with it.