Simultaneous recovery of attenuation and source density in SPECT

Sean Holman, Philip Richardson

Research output: Contribution to journalArticlepeer-review


We show that under a certain non-cancellation condition the attenuated Radon transform uniquely determines piecewise constant attenuation a and piecewise C2
source density ƒ with jumps over real analytic boundaries possibly having corners. We also look at numerical examples in which the non-cancellation condition fails and show that unique reconstruction of multi-bang a and ƒ still appears to be possible although not yet explained by theoretical results.
Original languageEnglish
JournalInverse Problems and Imaging
Publication statusAccepted/In press - 24 Jan 2023


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