Interferogram analysis is discussed as a sampling problem using the concepts of Fourier analysis. The relative merits of random, raster, and uniform sampling of a wavefront are examined. A relationship between a global least squares fit and interpolation in the spatial domain and transfer functions in the frequency domain is described.
Kenneth H. Womack,
"A Frequency Domain Description Of Interferogram Analysis", Proc. SPIE 0429, Precision Surface Metrology, (15 November 1983); doi: 10.1117/12.936356; https://doi.org/10.1117/12.936356