A Mathematical Analysis of Reconstruction Artifacts in Radar Limited Data Tomography

Abstract

. In the study of tomography, there are often missing data values. This 4 leads artifacts to present themselves in data reconstructions. We investigate this 5 problem in a bistatic radar system that has a radio transmitter in a fixed location 6 and a receiver flying around the transmitter in a circular path. Our data is collected 7 by integrating over all ellipses in a given space that have the transmitter and receiver 8 as foci. We reconstruct this numerical data and analyze the artifacts that present 9 themselves when we place objects within and outside of the receiver’s path. Our 10 research demonstrates how objects outside the receiver’s path can create artifacts 11 inside the receiver’s path and vice versa. This shows an intrinsic limitation to a 12 method that works well when the scanned region outside the receiver’s path is clear.