A variance-based basis selection scheme for the Gabor image transformation

This paper addresses the issues of time and compression efficiency in image transformation. We propose a novel basis selection scheme which improves transformation efficiency by exploiting the energy compacting characteristic in the frequency domain. In a typical complete transformation, a large number of basis functions have low coding efficiency, and thus are not necessary in the encoding process. By removing these functions from the basis set, we improve the time and the compression efficiency of the encoding process while maintaining a high reproduction quality. We have chosen to use the Gabor transform to demonstrate our proposed method. Experimental results with the Gabor transform are presented to demonstrate the effectiveness of our method. Finally, issues related to the application of this approach in image sequence encoding and the adaptation of our approach to other transformation schemes are discussed