A medical-imaging digital-computing platform serves to access a plurality of data objects and to execute an iterative process with respect to these data objects. The data objects themselves each at least generally pertain to portions of the human anatomy and may comprise, for example, both a source data object and a target data object. The platform executes the iterative process to determine at least one of a labeling of a portion of one of the data objects and a geometric relationship between at least portions of at least two of the data objects. This can be done, for example, by automatically employing both a segmentation module and a registration module as steps within the iterative process. This can also comprise determining when to automatically generate an intermediate data object to provide as input to at least one of these modules.