If, in any case, upon the filing of the assessment roll by the commissioners, it appears that the amount assessed as benefits is not sufficient to pay the awards, with the costs, or if, upon the disposition of the whole case, any such deficiency appears, the court, on the application of the petitioner, may refer the roll again to the same or other commissioners, to be recast. In such cases the commissioners shall consider and report whether or not other premises will be benefited by the improvement, or whether or not the premises already assessed will be benefited thereby in any greater amount, and in what amount, if any, and shall make and return a revised assessment roll. This may be done from time to time, as often as any deficiency appears. But no lot, block, tract, or parcel of land shall be assessed more than it will be benefited by the improvement, nor more than its proportionate share of the costs of the improvement. If any premises not already described in the roll are assessed by the commissioners, the owners thereof shall be shown and notice given as for an original assessment. If the assessment on any premises previously assessed is increased thereby, or if any property is newly assessed, the owner thereof, if not already represented in court, shall be notified in like manner, and a hearing shall be had as above provided.