A bit rate allocation (BRA) strategy is needed to optimally compress three-dimensional (3-d) data on a per-slice basis, treating it as a collection of two-dimensional (2-d) slices/components. This approach is compatib...
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ISBN:
(纸本)0819454990
A bit rate allocation (BRA) strategy is needed to optimally compress three-dimensional (3-d) data on a per-slice basis, treating it as a collection of two-dimensional (2-d) slices/components. This approach is compatible with the framework of JPEG2000 Part 2 which includes the option of pre-processing the slices with a decorrelation transform in the cross-component direction so that slices of transform coefficients are compressed. In this paper, we illustrate the impact of a recently developed inter-slice rate-distortion optimal bit-rate allocation approach that is applicable to this compression system. The approach exploits the MSE optimality of all JPEG2000 bit streams for all slices when each is produced in the quality progressive mode. Each bit stream can be used to produce a rate-distortion curve (RdC) for each slice that is MSE optimal at each bit rate of interest. The inter-slice allocation approach uses all RdCs for all slices to optimally select an overall optimal set of bit rates for all the slices using a constrained optimization procedure. The optimization is conceptually similar to Post-compression Rate-distortion optimization that is used within JPEG2000 to optimize bit rates allocated to codeblocks. Results are presented for two types of data sets: a 3-d computed tomography (CT) medical image, and a 3-d metereological data set derived from a particular modeling program. For comparison purposes, compression results are also illustrated for the traditional log-variance approach and for a uniform allocation strategy. The approach is illustrated using two decorrelation tranforms (the Karhunen Loeve transform, and the discrete wavelet transform) for which the inter-slice allocation scheme has the most impact.
Presented here is a study comparing various inter-slice bit-allocation strategies when applying JPEG2000 part 2 to ultraspectral sounder satellite data. Two families of algorithms are compared: the first is strictly v...
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ISBN:
(纸本)0819463795
Presented here is a study comparing various inter-slice bit-allocation strategies when applying JPEG2000 part 2 to ultraspectral sounder satellite data. Two families of algorithms are compared: the first is strictly variance based for which traditional approaches and some variations are used;the second uses rate distortion curves (RdCs) to optimally allocate slice bit-rates in the MSE sense, analogous to the way the PCRd algorithm uses RdCs of code-blocks in the baseline JPEG2000 method. The rate distortion curves are either experimentally gathered or analytically modeled using techniques discussed in previous papers. An additional approach to gather RdCs is considered using the slope-length information computed by a JPEG2000 encoder. The study is done using six different granules of ultraspectral sounder data made available by NOAA. Every subset contains 1,501 spectral bands, each consisting of 90 by 135 pixels, which are decorrelated using either a Karhunen-Loeve transform (KLT) or the discrete wavelet transform (dWT). The most complex RdC-based optimal approach is used to establish a lower distortion bound, in addition to characterizing the typical distortion performance achievable when compressing spectrally decorrelated sounder data with JPEG2000. The bound is used as the basis of comparison against the other methods studied. Moreover, the software tool CompressMddeveloped by our group is used to provide all data handling, algorithm implementations and collection of results.
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