1. A system, comprising: a constrained reconstruction logic configured to receive an initial data having an initial format, to establish a reference data from the initial data, and to produce an image data from the reference data, where the reference data is one or more of, a composite of two or more under-sampled data sets, and a separately acquired reference data set; an iterative reconstruction logic configured to use the image data as a constraint in a forward iterative process having a plurality of forward iterative steps and to compute a correction factor based on comparing the image data to the reference data to identify a location where the image data differs from the reference data; and a deconstruction logic configured to deconstruct the image into a deconstructed data having the initial format and to selectively update the reference data in a member of the plurality of forward iterative steps based, at least in part, on the correction factor and the deconstructed data, where the correction factor facilitates resolving a difference between the image data and the reference data; where the constrained reconstruction logic, the iterative reconstruction logic, and the deconstruction logic are embodied on a computer-readable storage medium.