On the Use of JPEG 2000 to Achieve Minimum L-Infinity Error when Specifying a Compression Ratio

摘要

In this paper, minimization of the maximum absolute error (MAE) is achieved under a JPEG 2000 framework when a compression ratio is specified. The process is founded on our recent JPEG 2000-based algorithm for minimizing bit rate for a desired MAE using a residual coding approach [1-3] that uses the EBCOT coder separately. This type of algorithm uses the lossy and lossless capabilities of JPEG 2000 to achieve a desired MAE or a desired total bit rate. The technique to achieve the lowest MAE possible for a specified average bit rate is developed here for application to 3-D scientific data sets. Lossy compression is applied to the original data, while lossless compression is employed on the quantized residuals (the difference between the original and the lossy decompressed data). The lowest MAE is achieved by optimizing the allocation of the desired total bit rate between the two contributing rates corresponding to the lossy and the lossless compression steps. The methodology for achieving minimum MAE and results for 3-D meteorological data are presented here.