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We present a detailed discussion of the implementation strategies for arecently developed $w$-stacking $w$-projection hybrid algorithm used toreconstruct wide-field interferometric images. In particular, we discuss themethodology used to deploy the algorithm efficiently on a supercomputer via useof a Message Passing Interface (MPI) $k$-means clustering technique to achieveefficient construction and application of non co-planar effects. Additionally,we show that the use of conjugate symmetry increases the algorithms performanceby imaging an interferometric observation of Fornax A from the MurchisonWidefield Array (MWA). We perform exact non-coplanar wide-field correction for126.6 million visibilities using 50 nodes of a computing cluster. The$w$-projection kernel construction takes only 15 minutes, demonstrating thatthe implementation is both fast and efficient.

$w$-stacking $w$-projection hybrid algorithm for wide-field interferometric imaging: implementation details and improvements