TheInversionofMultiscaleConvolutionApproximationandAverageofDistributionsItdevelopstwokindsofinversionformulasofthemultiscaleconvolutionapproximationwhichisdefinedbyaconvolutionkernel.Theaverageofdistributionsisconsidered,andcorrespondingly,theformulasrelatedtotheEB-splinesareobtainedfrom