On-the-fly spectral unmixing based on Kalman filtering

Kouakou, H.; Goulart, J. H. D.; Vitale, Raffaele; Oberlin, T.; Rousseau, D.; Ruckebusch, Cyril; Dobigeon, N.

Document type :

Article dans une revue scientifique: Article original

DOI :

10.1016/j.chemolab.2024.105252

Permalink :

http://hdl.handle.net/20.500.12210/119120

Title :

On-the-fly spectral unmixing based on Kalman filtering

Author(s) :

Kouakou, H. [Auteur]
Université de Toulouse [UT]
Goulart, J. H. D. [Auteur]
Université de Toulouse [UT]
Vitale, Raffaele [Auteur]
Laboratoire Avancé de Spectroscopie pour les Intéractions la Réactivité et l'Environnement (LASIRE) - UMR 8516
Oberlin, T. [Auteur]
Université de Toulouse [UT]
Rousseau, D. [Auteur]
Université d'Angers [UA]
Ruckebusch, Cyril [Auteur]

Laboratoire Avancé de Spectroscopie pour les Intéractions la Réactivité et l'Environnement (LASIRE) - UMR 8516
Dobigeon, N. [Auteur]
Université de Toulouse [UT]

Journal title :

Chemometrics Intell. Lab. Syst.

Abbreviated title :

Chemometrics Intell. Lab. Syst.

Volume number :

255

Pages :

Publication date :

2024-12-07

ISSN :

0169-7439

English keyword(s) :

Spectral unmixing
On-the-fly processing
Kalman filter
Essential spectral information

HAL domain(s) :

Chimie/Chimie théorique et/ou physique

English abstract : [en]

This work introduces an on-the-fly (i.e., online) linear spectral unmixing method which is able to sequentially analyze spectral data acquired on a spectrum-by-spectrum basis. After deriving a sequential counterpart of the ...
Show more >This work introduces an on-the-fly (i.e., online) linear spectral unmixing method which is able to sequentially analyze spectral data acquired on a spectrum-by-spectrum basis. After deriving a sequential counterpart of the conventional linear mixing model, the proposed approach recasts the linear unmixing problem into a linear state-space estimation framework. Under Gaussian noise and state models, the estimation of the pure spectra can be efficiently conducted by resorting to Kalman filtering. Interestingly, it is shown that this Kalman filter can operate in a lower-dimensional subspace to lighten the computational burden of the overall unmixing procedure. Experimental results obtained on synthetic and real Raman data sets show that this Kalman filter-based method offers a convenient trade-off between unmixing accuracy and computational efficiency, which is crucial for operating in an on-the-fly setting. The proposed method constitutes a valuable building block for benefiting from acquisition and processing frameworks recently proposed in the microscopy literature, which are motivated by practical issues such as reducing acquisition time and avoiding potential damages being inflicted to photosensitive samples. The code associated with the numerical illustrations reported in this paper is freely available online at https://github.com/HKouakou/KF-OSUShow less >

Language :

Anglais

Audience :

Internationale

Popular science :

Non

Administrative institution(s) :

Université de Lille
CNRS

Collections :

Laboratoire Avancé de Spectroscopie pour les Intéractions la Réactivité et l'Environnement (LASIRE) - UMR 8516

Research team(s) :

Dynamics, Nanoscopy & Chemometrics (DyNaChem)

Submission date :

2024-12-09T22:02:26Z
2024-12-18T08:13:59Z

Files

1-s2.0-S0169743924001928-main.pdf
Version éditeur
Open access
Access the document

Except where otherwise noted, this item's license is described as Attribution-NonCommercial 3.0 United States

Version	Link	Modification date
2	20.500.12210/119120*	2024-12-18T08:10:01Z
1	20.500.12210/119120.1	2024-12-09T22:02:26Z

On-the-fly spectral unmixing based on ...

BibTeX

CSV

Excel

RIS

Files

Version history

On-the-fly spectral unmixing based on ... BibTeX CSV Excel RIS

Files

Version history

On-the-fly spectral unmixing based on ...

BibTeX

CSV

Excel

RIS