An interpolation model using Gabor Filter is demonstrated on hexagonally sampled data, which outperform classical B-splines and MOMS. Our method has optimal approximation theoretic performances, for a good quality image. The computational cost is considerably low when compared to similar processing in the rectangular domain. In this paper the parameter sigma of 2/pi is found to satisfy most of the image interpolation requirements
in terms of high Peak Signal-to-Noise Ratio (PSNR) , lower Mean Squared Error (MSE) and better image quality by adopting a windowing technique.
S. Veni and Narayanankutty, K. A., “Gabor Functions for Interpolation on Hexagonal Lattice”, International Journal of Electronics & Communication Technology (IJECT), vol. 2, no. 1, 2011.