Elliptical parametric models of the bSSFP signal equation are used to derive band-free images given multiple phase-cycled images. For large multicoil datasets, we desire coil combination before debanding to significantly reduce computational burden. Conventional coil combination methods fail as nonlinear mappings lead to distortions of the elliptical representation. We propose phase-substitutions that can be applied with any coil combination method including sum-of-squares and which allow coil combination before computationally expensive debanding operations.
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