2003/07/28 by Jens Klein, Klein, Jens · 2 citations
Engineering · Mathematics · #44A15 #65R32 #Advanced SAR Imaging Techniques #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Satellite Image Processing and Photogrammetry #Synthetic Aperture Radar (SAR) Applications and Techniques #math.CA #msc:44A15 #msc:65R32
paper · pdf · doi:10.48550/arxiv.math/0307348
15 pages, also available at http://wwwmath.uni-muenster.de/num/Preprints/
arxiv created 2003/07/28 · openalex publication_date 2003/07/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we refer to the reconstruction formulas given in L.-E. Andersson's On the determination of a function from spherical averages, which are often used in applications such as SAR and SONAR. We demonstrate that the first one of these formulas does not converge given physically reasonable assumptions. An alternative is proposed and it is shown that the second reconstruction formula is well-defined but might be difficult to compute numerically.