Multiple filterbanks have recently been introduced as an effective tool for processing imagedata, in particular for the detection of directional singularities. The practical implementationof such a technique, however, encounters many intrinsic difficulties. Indeed, the fact that different,nontrivial and anisotropic scaling matrices are used at each multiresolution level caneasily result in a highly inefficient way of carrying out the downsampling, upsampling andconvolution operations involved in the process, and of recording and tracking their outputs.The aim of this paper is to propose a general strategy to overcome these implementationissues by properly reformulating the above operations and taking advantage of the representationof the scaling factors in terms of their associated Smith decompositions.

Multiple filterbanks for image processing: implementation issues

COTRONEI, Mariantonia;
2020-01-01

Abstract

Multiple filterbanks have recently been introduced as an effective tool for processing imagedata, in particular for the detection of directional singularities. The practical implementationof such a technique, however, encounters many intrinsic difficulties. Indeed, the fact that different,nontrivial and anisotropic scaling matrices are used at each multiresolution level caneasily result in a highly inefficient way of carrying out the downsampling, upsampling andconvolution operations involved in the process, and of recording and tracking their outputs.The aim of this paper is to propose a general strategy to overcome these implementationissues by properly reformulating the above operations and taking advantage of the representationof the scaling factors in terms of their associated Smith decompositions.
2020
Multiple filterbank, directional wavelets, Smith decomposition
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/3147
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