Reconstruction of a polynomial from its Radon projections

2005/03/16 by Borislav Bojanov, Yuan Xu, Bojanov, Borislav +1
Computer Science · Engineering · Medicine · #42A38 #42B08 #42B15 #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #Digital Image Processing Techniques #FOS: Mathematics #Medical Imaging Techniques and Applications #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.math/0503338

openalex publication_date 2005/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A polynomial of degree n in two variables is shown to be uniquely determined by its Radon projections taken over [n/2]+1 parallel lines in each of the (2[(n+1)/2]+1) equidistant directions along the unit circle.

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