Non‐negative matrix factorisation for blind source separation in wavelet transform domain. Issue 2 (1st April 2015)

• Record Type: Journal Article
• Authors: Hattay, Jamel; Belaid, Samir; Naanaa, Wady
• Is Part Of: IET signal processing. Volume 9:Issue 2(2015)
• Page Start: 111
• Page End: 119
• Publication Date: 2015-04-01
• Subjects: matrix algebra -- wavelet transforms -- image processing; blind source separation algorithms -- AQLS transform -- decomposed images -- wavelet decomposition -- adaptive quincunx lifting scheme -- convolutive image mixtures -- multilevel decomposition method -- wavelet transform domain -- non negative matrix factorisation; Signal processing -- Periodicals; 621.3822
• DOI: 10.1049/iet-spr.2013.0409
• Languages: English
• ISSNs: 1751-9675

Abstract

Abstract : This paper describes a new multilevel decomposition method for the separation of convolutive image mixtures. The proposed method uses an adaptive quincunx lifting scheme (AQLS) based on wavelet decomposition to preprocess the input data, followed by a non‐negative matrix factorisation whose role is to unmix the decomposed images. The unmixed images are, thereafter, reconstructed using the inverse of AQLS transform. Experiments carried out on images from various origins showed that the proposed method yields better results than many widely used blind source separation algorithms.