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This is a Experimental Study study.

October 20, 2025Open Access

Algebraic Reconstruction of Piecewise-Smooth Functions of Two Variables from Fourier Data

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Authors

MLMichael Levinov YYYosef YomdinBen-Gurion University of the Negev DBDmitry BatenkovLinköping University

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Implication

Research demonstrates high accuracy in reconstructing piecewise smooth functions using Fourier measurements, suggesting advancements for medical imaging applications.

Key Points

Accurate reconstruction of piecewise smooth functions is achieved from Fourier measurements, enhancing medical imaging applications.
The method effectively reconstructs both the discontinuity curve and the function from limited Fourier data, with high fidelity.
An extension of a one-dimensional technique allows for improved reconstruction methods in two-dimensional settings.
Numerical implementation showcases the method's performance on synthetic data, indicating its practical applicability.

Cite This Study

Levinov et al. (2025) studied this question.

synapsesocial.com/papers/68f64fbb2509bc8625bfb192 https://doi.org/10.48550/arxiv.2503.02254

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Implication

Research demonstrates high accuracy in reconstructing piecewise smooth functions using Fourier measurements, suggesting advancements for medical imaging applications.

Algebraic Reconstruction of Piecewise-Smooth Functions of Two Variables from Fourier Data

Discussion

Member takes

Implication

Key Points

Cite This Study

Algebraic Reconstruction of Piecewise-Smooth Functions of Two Variables from Fourier Data

Discussion

Member takes

Implication

Key Points

Cite This Study

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