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In this letter, we improve the class-based transformcoding scheme proposed by Gelli and Poggi for the compression of multispectral images. The original spatial-coding tools, 1-D discrete cosine transform and scalar quantization, are replaced by shape-adaptive wavelet transform and set partitioning in hierarchical trees. Numerical experiments show that the improved technique outperforms the original one for medium-to highquality compression and is consistently superior to all referencedoi:10.1109/lgrs.2007.900696 fatcat:o7xgvckx2vbxlfje67gtxfgpc4