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Soft Computing

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13-08-2019 | Methodologies and Application

Toward recursive spherical harmonics issued bi-filters: Part II: an associated spherical harmonics entropy for optimal modeling

Authors: Malika Jallouli, Wafa Bel Hadj Khélifa, Anouar Ben Mabrouk, Mohamed Ali Mahjoub

Published in: Soft Computing | Issue 7/2020

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Abstract

Image processing continues to be a challenging topic in many scientific fields such as medicine, computational physics and informatics especially with the discovery and development of 3D cases. Therefore, development of suitable tools that guarantee a best treatment is a necessity. Spherical shapes are a big class of 3D images whom processing necessitates adoptable tools. This encourages researchers to develop special mathematical bases suitable for 3D spherical shapes. The present work lies in this whole topic with the application of special spherical harmonics bases. In Jallouli et al. (Soft Comput 2018. https://doi.org/10.1007/s00500-018-3596-9), theoretical framework of spherical harmonics filters adapted to image processing has been developed. In the present paper, new approach based on Jallouli et al. (Soft Comput 2018. https://doi.org/10.1007/s00500-018-3596-9) is proposed for the reconstruction of images provided with spherical harmonics Shannon-type entropy to evaluate the order/disorder of the reconstructed image. Efficiency and accuracy of the approach are demonstrated by a simulation study on several spherical models.

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Title: Toward recursive spherical harmonics issued bi-filters: Part II: an associated spherical harmonics entropy for optimal modeling
Authors: Malika Jallouli
Wafa Bel Hadj Khélifa
Anouar Ben Mabrouk
Mohamed Ali Mahjoub
Publication date: 13-08-2019
Publisher: Springer Berlin Heidelberg
Published in: Soft Computing / Issue 7/2020
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-019-04274-y

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