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We present a novel Bayesian method, referred to as Blobby3D, to infer gaskinematics that mitigates the effects of beam smearing for observations usingIntegral Field Spectroscopy (IFS). The method is robust for regularly rotatinggalaxies despite substructure in the gas distribution. Modelling the gassubstructure within the disk is achieved by using a hierarchical Gaussianmixture model. To account for beam smearing effects, we construct a modelledcube that is then convolved per wavelength slice by the seeing, beforecalculating the likelihood function. We show that our method can model complexgas substructure including clumps and spiral arms. We also show that kinematicasymmetries can be observed after beam smearing for regularly rotating galaxieswith asymmetries only introduced in the spatial distribution of the gas. Wepresent findings for our method applied to a sample of 20 star-forming galaxiesfrom the SAMI Galaxy Survey. We estimate the global H$\alpha$ gas velocitydispersion for our sample to be in the range $\bar{\sigma}_v \sim $[7, 30] kms$^{-1}$. The relative difference between our approach and estimates using thesingle Gaussian component fits per spaxel is $\Delta \bar{\sigma}_v /\bar{\sigma}_v = - 0.29 \pm 0.18$ for the H$\alpha$ flux-weighted mean velocitydispersion.

The SAMI Galaxy Survey: Bayesian Inference for Gas Disk Kinematics using a Hierarchical Gaussian Mixture Model