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Soft Computing
Erschienen in: Soft Computing 20/2019

26.10.2018 | Methodologies and Application

Toward recursive spherical harmonics-issued bi-filters: Part I: theoretical framework

verfasst von: Malika Jallouli, Makerem Zemni, Anouar Ben Mabrouk, Mohamed Ali Mahjoub

Erschienen in: Soft Computing | Ausgabe 20/2019

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Abstract

This work lies in the whole topic of signal/image processing based on frequency decompositions. These are indeed applied in a variety of subjects such as estimation, reconstruction, shape recognition, filtering \(\dots \). Among these decompositions, spherical harmonics are widely used. Mathematically, spherical harmonics are special functions obtained as particular solutions of the Laplace equation generated by Legendre polynomials. Using the three-level recurrence relation of these polynomials, spherical harmonics recursive bases are revisited allowing the decompositions of signals in eigenmodes similar to Fourier ones. Special filters have been constructed and proved to be more efficient and accurate than existing ones as they lead to faster and more accurate algorithms.
Vorheriger Artikel A new entropy-based approach for fuzzy c-means clustering and its application to brain MR image segmentation
Nächster Artikel River flow prediction using hybrid PSOGSA algorithm based on feed-forward neural network

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Metadaten
Titel
Toward recursive spherical harmonics-issued bi-filters: Part I: theoretical framework
verfasst von
Malika Jallouli
Makerem Zemni
Anouar Ben Mabrouk
Mohamed Ali Mahjoub
Publikationsdatum
26.10.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 20/2019
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-3596-9

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