Multiresolution Signal Decomposition Schemes. Part 1: Linear and Morphological211 Pyramids

摘要

Interest in multiresolution techniques for signal processing and analysis is211u001eincreasing steadily. An important instance of such a technique is the so-called 211u001epyramid decomposition scheme. This report proposes a general exiomatic pyramid 211u001edecomposition scheme for signal analysis and synthesis. In this report, several 211u001eexamples are described of linear as well as nonlinear (e.g., morphological) 211u001epyramid decomposition schemes. Some of these examples are known from the 211u001eliterature (Laplacian pyramid, morphological granulometries, skeleton 211u001edecomposition) and some of them are new (morphological Haar pyramid, median 211u001epyramid). Furthermore, the report makes a distinction between single-scale and 211u001emultiscale decomposition schemes (i.e. without or with sample reduction).