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• W3105481591 abstract "We study the weighted cone transform $I_kappa$ of distributions with compact support in a domain $M $ of $mathbb{R}^3$, over cone surfaces whose vertexes are located on a smooth surface away from $M$ and opening angles are limited to an open interval of $(0,pi/2)$. We show that when the weight function has compact support and satisfies certain nonvanishing assumptions, the normal operator $I^*_kappa I_kappa$ is an elliptic $Psi$DO at the accessible singularities. Then the accessible singularities are stably recoverable from local data. We prove a microlocal stability estimate for $I_kappa$. Moreover, we show the same analysis can be applied to the restricted cone transform." @default.
• W3105481591 created "2020-11-23" @default.
• W3105481591 creator A5022802322 @default.
• W3105481591 date "2020-01-28" @default.
• W3105481591 modified "2023-09-24" @default.
• W3105481591 title "Recovery of singularities for the weighted cone transform appearing in Compton camera imaging" @default.
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• W3105481591 doi "https://doi.org/10.1088/1361-6420/ab3cc8" @default.
• W3105481591 hasPublicationYear "2020" @default.
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