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The Earth's ionosphere refracts radio waves incident on an interferometer,resulting in shifts to the measured positions of radio sources. We present amethod to smoothly remove these shifts and restore sources to their referencepositions, in both the catalogue and image domains. The method is applicable toinstruments and ionospheric weather such that all antennas see the sameionosphere. The method is generalisable to repairing any sparsely-sampledvector field distortion to some input data. The code is available under theAcademic Free License (https://opensource.org/licenses/AFL-3.0) fromhttps://github.com/nhurleywalker/fits_warp

De-distorting ionospheric effects in the image plane