1. A method comprising: acquiring imaging data of an object to be imaged from a computed tomography (CT) detector; reconstructing, with at least one processing unit, the acquired imaging data into an initial reconstruction image; performing, with the at least one processing unit, material characterization of an image volume of the initial reconstruction image to provide a re-mapped image volume from the initial reconstruction image; performing, with the at least one processing unit, forward projection on the re-mapped image volume to provide forward projection data; providing, with the at least one processing unit, an error projection based on the forward projection data; filtering at least one of: the initial reconstruction image before performing the material characterization, the re-mapped image volume provided by performing the material characterization of the image volume, wherein the filtering the re-mapped image volume is performed before performing the forward projection, the forward projection data provided by performing the forward projection on the re-mapped image volume, wherein the filtering the forward projection data is performed before providing the error projection, or the error projection to provide a filtered error projection; and correcting the forward projection data with the error projection to provide corrected projection data when the error projection is not filtered, correcting the forward projection with the filtered error projection to provide the corrected projection data when the error projection is filtered, and reconstructing an updated reconstruction image using the corrected projection data.