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Incoherent scatter radar (ISR) techniques provide reliable measurements for the analysis of ionospheric plasma. Recent developments in ISR technologies allow the generation of high-resolution 3D data. Examples of such technologies employ the so-called phased-array antenna systems like the AMISR systems in North America or the upcoming EISCAT_3D in the Northern Fennoscandia region. EISCAT_3D will be capable of generating the highest resolution ISR datasets that have ever been measured. We present a novel fast computational strategy for the generation of high-resolution and smooth volumetric ionospheric images that represent ISR data. Through real-time processing, our computational framework will enable a fast decision-making during the monitoring process, where the experimental parameters are adapted in real time as the radars monitor specific phenomena. Real-time monitoring would allow the radar beams to be conveniently pointed at regions of interest and would therefore increase the science impact. We describe our strategy, which implements a flexible mesh generator along with an efficient interpolator specialized for ISR technologies. The proposed strategy is generic in the sense that it can be applied to a large variety of data sets and supports interactive visual analysis and exploration of ionospheric data, supplemented by interactive data transformations and filters.