An interpolation/extrapolation approach to X-ray imaging of solar flares | Zendy

Silvia Allavena | Zendy; Michele Piana | Zendy; Federico Benvenuto | Zendy; Anna Maria Massone | Zendy

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An interpolation/extrapolation approach to X-ray imaging of solar flares

Author(s) -

Silvia Allavena,

Michele Piana,

Federico Benvenuto,

Anna Maria Massone

Publication year - 2012

Publication title -

inverse problems and imaging

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.755

H-Index - 40

eISSN - 1930-8345

pISSN - 1930-8337

DOI - 10.3934/ipi.2012.6.147

Subject(s) - extrapolation , interpolation (computer graphics) , projection (relational algebra) , solar flare , fourier transform , physics , computer science , satellite , energy (signal processing) , algorithm , astrophysics , artificial intelligence , mathematics , astronomy , mathematical analysis , image (mathematics) , quantum mechanics

We describe an interpolation/extrapolation procedure that recon- structs X-ray maps of solar flares using as input data sparse samples of the Fourier transform of the radiation flux, named visibilities. The algorithm is based on two steps: in the first step the performance of an interpolation rou- tine is optimized by representing the visibilities according to favorable coor- dinates in the frequency plane. In the second step two extrapolation schemes are introduced, respectively based on the projection and the thresholding of the Landweber iterative method. The procedure is validated against realistic synthetic visibilities and applied to experimental measurements provided by the NASA satellite Reuven Ramaty High Energy Solar Spectroscopic Imager (RHESSI)

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