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arXiv · 2307.10758

Inversion of the Momenta Doppler Transform in two dimensions

Hiroshi Fujiwara·David Omogbhe·Kamran Sadiq·Alexandru Tamasan
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Abstract

We introduce an analytic method which stably reconstructs both components of a (sufficiently) smooth, real valued, vector field compactly supported in the plane from knowledge of its Doppler transform and its first moment Doppler transform. The method of proof is constructive. Numerical inversion results indicate robustness of the method.

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Hiroshi Fujiwara, David Omogbhe, Kamran Sadiq, Alexandru Tamasan. 2023-07-20. Inversion of the Momenta Doppler Transform in two dimensions. https://arxiv.org/abs/2307.10758

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