  The total electron content (TEC) maps can be used to estimate the signal
delay of GPS due to the ionospheric electron content between a receiver and
satellite. This delay can result in GPS positioning error. Thus it is important
to monitor the TEC maps. The observed TEC maps have big patches of missingness
in the ocean and scattered small areas of missingness on the land. In this
paper, we propose several extensions of existing matrix completion algorithms
to achieve TEC map reconstruction, accounting for spatial smoothness and
temporal consistency while preserving important structures of the TEC maps. We
call the proposed method Video Imputation with SoftImpute, Temporal smoothing
and Auxiliary data (VISTA). Numerical simulations that mimic patterns of real
data are given. We show that our proposed method achieves better reconstructed
TEC maps as compared to existing methods in literature. Our proposed
computational algorithm is general and can be readily applied for other
problems besides TEC map reconstruction.
