Abstract
The wavelet transform is a powerful tool that cuts up signal or functions into different frequency components, and then studies each component with a resolution matched to its scale. However, how to study these components? This paper addresses the construction of morphological wavelets by combining wavelet with mathematical morphology. First, the multidimensional multi-channel lifting scheme, a general framework of multidensional morphological wavelet construction is presented. Then one-dimensional and multi-dimensional multi-channel <i>median</i> morphological wavelets are constructed wtih <i>median</i> operator.
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