ABSTRACT
This chapter determines how multiple measurements of a cross section should be combined during the reconstruction process. It describes a model which consists of multiple linear, shift invariant samples. The chapter provides a brief description of the multi-detector scanner. Although the multi-detector scanner is an uncommon single photon emission computed tomographic device, the principles derived from consideration of this model have a broader application in radiology. The multi-detector scanner described by H. F. Stoddart uses multiple rectilinear scanner detectors to sample the radioactivity in a cross section. The chapter then utilizes data collection model that separates the data into a series of samples. The data collection process for X-ray computed tomography can be modeled by a delta function. The assumption that the data collection, image reconstruction process is linear and shift invariant is key to the simplification of the problem.
