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A Variational Method of Wavefront Reconstruction from Local Slope Measurements Using a Fractional Order of Smoothness Stabilizer

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Wavefront reconstruction from local slope estimates is performed by a family of variational methods with a fractional order stabilizer designed to ensure best uniform reconstruction of the front on the… Click to show full abstract

Wavefront reconstruction from local slope estimates is performed by a family of variational methods with a fractional order stabilizer designed to ensure best uniform reconstruction of the front on the entire frequency spectrum. Analytical and numerical investigation of the space-frequency characteristic of the family and numerical experiments with reconstruction of regular and turbulent wavefronts have demonstrated the advantage of the proposed method over the common Simpson method.

Keywords: reconstruction; wavefront reconstruction; reconstruction local; local slope; fractional order

Journal Title: Computational Mathematics and Modeling
Year Published: 2019

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