If, after recording a subdivision plat, an error is found in distances, angles, bearings, subdivision or street names, block or lot numbers, the computation of dimension or elevation or other details of the plat, except in connection with the outer boundaries of the plat, and if the property described in that part of the plat containing the error is under the ownership of the person who caused the plat to be prepared, the engineer of the approving city or county, in which the property is located, after substantiation of the existence of the error may file an affidavit with the register of deeds that the error was made. The affidavit shall describe the nature and extent of the error and the appropriate correction. The register of deeds shall record the affidavit, and shall place in the margin of the recorded plat a notation that the affidavit has been filed, the date of filing and the book and page where it is recorded. The filing of the affidavit shall correct any such errors, but shall have no effect on the validity of the plat or any property interest recorded by reference thereto.