Inversion of the Momenta Doppler Transform in two dimensions
Analysis of PDEs
2024-05-22 v2
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.
Keywords
Cite
@article{arxiv.2307.10758,
title = {Inversion of the Momenta Doppler Transform in two dimensions},
author = {Hiroshi Fujiwara and David Omogbhe and Kamran Sadiq and Alexandru Tamasan},
journal= {arXiv preprint arXiv:2307.10758},
year = {2024}
}
Comments
This manuscript has been superseded by the arXiv manuscript arXiv:2309.00499