Mathematical Analysis of JPEG 2000 Wavelet Filter Tiling Approaches and its Experimental Verification

S.M. Hanif and K. Abe (Japan)

Keywords

Mobile network, JPEG 2000, wavelets, tile, image quality.

Abstract

The JPEG 2000 standard incorporating wavelet at the core of its compression technique provides excellent features for quality and robustness. However, for the comparatively higher calculation load, decoding a large JPEG 2000 image at the mobile user equipment (UE) will result in bigger memory and circuit requirements and higher cost. Algorithms that divide an image into smaller units such as tiles or streams in the intermediate gateway server of the mobile network, and send them to the UE sequentially have been proposed in the past. Using these algorithms, the UE can decode one unit at a time, which requires less resource. However, the calculation and memory intensive algorithms and the need to process a large number of images in a mobile network put a heavy burden on the gateway. The one-dimensional (1D) tiling approach can reduce the processing and memory requirements at the gateway to far less than those of the original 2D approach. We present a mathematical analysis of the image quality of these two wavelet tiling approaches for both the Daubechies 9/7 and LeGall 5/3 standard JPEG 2000 filters. We also provide experimental results to compare with the analytical findings.

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