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Transform coding techniques for lossy hyperspectral data compression

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IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING (SUBMITTED DEC. 2005) 23<br />

90<br />

85<br />

80<br />

PSNR (dB)<br />

75<br />

70<br />

65<br />

60<br />

Full−complexity KLT + JPEG 2000<br />

Low−complexity KLT ( ρ= 0.01) + JPEG 2000<br />

DWT1D + JPEG 2000<br />

3D−SPIHT<br />

55<br />

0 0.5 1 1.5 2 2.5<br />

rate ( bpp)<br />

Fig. 13. Per<strong>for</strong>mance evaluation of the proposed JPEG 2000 based technique: rate-distortion curve <strong>for</strong> the Cuprite<br />

scene. Dashed: Full-complexity KLT. Solid: low-complexity KLT, ρ = 0.01. Dotted+star: DWT1D2D as proposed in<br />

[16]. Solid+star: 3D-SPIHT.<br />

and SPECK are compared; note that, in the table, results are given in terms of signal-to-noise ratio<br />

(SNR) rather than PSNR.<br />

Consistently with the results reported above, also on the reflectance <strong>data</strong> the per<strong>for</strong>mance loss of<br />

the low-complexity KLT with respect to the full-complexity one does not exceed 0.5 dB. The lowcomplexity<br />

KLT has a gain of about 7 dB with respect to the scheme in [16] employing the hybrid<br />

rectangular/square DWT, even though <strong>for</strong> high bit-rate the per<strong>for</strong>mance gap decreases. The proposed<br />

scheme exhibits a significant gain also with respect to SPECK; the SNR gain is even more remarkable,<br />

ranging from 5 to more than 10 dB. This gain is mainly due to two factors. The <strong>for</strong>mer is the improved<br />

<strong>coding</strong> efficiency of the KLT with respect to the spectral DWPT employd in SPECK. The latter is<br />

the 3D post-<strong>compression</strong> rate-distortion optimization, which is more flexible in selecting the portions<br />

of the 3D set of trans<strong>for</strong>m coefficients that contribute more significantly to the reconstructed image<br />

quality.<br />

C. Impact on image exploitation<br />

As is well-known, quality metrics such as PSNR, which are based on the MSE, measure the<br />

fidelity of the reconstructed image with respect to the original image. However, higher PSNR may not<br />

necessarily yield higher quality of a remote sensing <strong>lossy</strong>-compressed image <strong>for</strong> a given application.<br />

In fact, some artifacts, e.g. tiling, which may have little effect on PSNR, could heavily bias the

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