A new reconstruction method in integral geometry

2011/09/11 by Victor Palamodov, Palamodov, Victor · 2 citations
Engineering · Mathematics · Medicine · #53C65 44A12 65R10 #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Medical Imaging Techniques and Applications #Numerical methods in inverse problems #Photoacoustic and Ultrasonic Imaging #math.DG #math.FA #msc:44A12 #msc:53C65 #msc:65R10

paper · pdf · doi:10.48550/arxiv.1109.2294

openalex publication_date 2011/09/11 · arxiv created 2011/09/24 · arxiv updated 2011/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A general method for analytic inversion of geometric integral transforms is proposed

Citations

• The spherical mean value operator with centers on a sphere

Cited by

• Simultaneous Reconstructions of Absorption Density and Wave Speed with Photoacoustic Measurements
• Reconstruction Formulas for a Single Scattering Model in Photoacoustic Imaging and Applications to Sectional Imaging

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