Lossy to lossless compressions of hyperspectral images using three-dimensional set partitioning algorithm

Jiaji Wu Zhensen Wu Chengke Wu Xidian University School of Science Xi’an, 710071, China E-mail: [email protected] Abstract. We present a three-dimensional 3-D hyperspectral image compression algorithm based on zero-block coding and wavelet transforms. An efficient asymmetric 3-D wavelet transform AT based on the lifting technique and packet transform is used to reduce redundancies in both the spectral and spatial dimensions. The implementation via 3-D integer lifting scheme enables us to map integer-to-integer values, enabling lossy and lossless decompression from the same bit stream. To encode these coefficients after the AT, a modified 3DSPECK algorithm— asymmetric transform 3-D set-partitioning embedded block AT3DSPECK is proposed. According to the distribution of energy of the transformed coefficients, the 3DSPECK’s 3-D set partitioning block algorithm and the 3-D octave band partitioning scheme are efficiently combined in the proposed AT-3DSPECK algorithm. Several AVIRIS Airborne Visible/Infrared Imaging Spectrometer images are used to evaluate the compression performance. Compared with the JPEG2000, AT-3DSPIHT, and 3DSPECK lossless compression techniques, the AT-3DSPECK achieves the best lossless performance. In lossy mode, the AT3DSPECK algorithm outperforms AT-3DSPIHT and 3DSPECK at all rates. Besides the high compression performance, AT-3DSPECK supports progressive transmission. Clearly, the proposed AT-3DSPECK algorithm is a better candidate than several conventional methods. © 2006 Society of Photo-Optical Instrumentation Engineers. DOI: 10.1117/1.2173996