The attenuated ray transform on simple surfaces

2010/04/14 by Mikko Salo, Günther Uhlmann, Salo, Mikko +1 · 2 citations
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Image and Signal Denoising Methods #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1004.2323

openalex publication_date 2010/04/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the attenuated geodesic ray transform on two dimensional simple surfaces is injective. Moreover we give a stability estimate and develop a reconstruction procedure.

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• A family of non-simple surfaces whose transport twistor spaces admit global blow-down maps
• The matrix weighted real-analytic double fibration transforms

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