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- W4310239583 abstract "In this paper, we analyze the nonlinear single pixel X-ray transform $K$ and study the reconstruction of $f$ from the measurement $Kf$. Different from the well-known X-ray transform, the transform $K$ is a nonlinear operator and uses a single detector that integrates all rays in the space. We derive stability estimates and an inversion formula of $K$. We also consider the case where we integrate along geodesics of a Riemannian metric. Moreover, we conduct several numerical experiments to corroborate the theoretical results." @default.
- W4310239583 created "2022-11-30" @default.
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- W4310239583 date "2021-12-27" @default.
- W4310239583 modified "2023-09-30" @default.
- W4310239583 title "Single pixel X-ray transform and related inverse problems" @default.
- W4310239583 doi "https://doi.org/10.48550/arxiv.2112.13978" @default.
- W4310239583 hasPublicationYear "2021" @default.
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