This article proposes high-order balanced multi-band multiwavelet packet transforms for denoising remote sensing images. First, properties of several wavelet transforms and their relationships are analyzed. The article then presents theoretical principles and a fast algorithm for constructing high-order balanced multi-band multiwavelet packet transforms. The remote sensing image denoising method based on this transform scheme is then described, and its utility is demonstrated by illustrative

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... ults of its application to denoise remote sensing images. The method provides clear improvements in denoising quality, due to the balanced order or band number, consistently outperforming traditional wavelet transform-based methods in terms of both visual quality and evaluation indicators. The method also incurs reasonable computational costs compared with the traditional methods.