That improvement assessments shall be assessed annually against the benefited property in the proportion that the assessed value of each lot or parcel bears to the whole assessed value of the benefited properties. Properties not assessed for taxation, such as public property or property exempt from taxation, shall be specially assessed by the municipal assessor, by the county assessor if the municipality uses county property assessments, or by a special assessor appointed by the governing body for this purpose, for which compensation may be paid from the "Parking Improvement (No.) Special Fund" or from the general fund of the municipality. Any such special assessment shall be subject to the procedure for equalization and judicial review provided by the law for assessments made for purposes of property taxation. [As added by Priv. Acts 1970, ch. 276, § 10]