A note on the Gabor-QR decomposition

In this paper, we propose a novel Gabor transformation scheme that is based on the QR decomposition. This Gabor-QR scheme computes the exact Gabor coefficients by solving a system of linear equations Ax=b. The computation is more efficient than iterative schemes and less complicated than other matrix-based methods. In addition, the proposed Gabor-QR scheme allows the use of incomplete basis sets, which is uncommon in most matrix-based Gabor transformations. Experimental results from image encoding are presented to highlight the major contributions of the proposed method. Due to its computational efficiency, the Gabor-QR decomposition scheme has a strong potential as an efficient method for image sequence encoding.< >