A new multi-scale framework for convolutive blind source separation. Issue 7 (October 2016)

• Record Type: Journal Article
• Authors: Belaid, Samir; Hattay, Jamel; Naanaa, Wady; Aguili, Taoufik
• Is Part Of: Signal, image and video processing. Volume 10:Issue 7(2016)
• Page Start: 1203
• Page End: 1210
• Publication Date: 2016-10
• Subjects: Convolutive blind source separation -- Wavelet transform -- Multi-scale analysis -- Geometric unmixing algorithm; Signal processing -- Digital techniques -- Periodicals; Image processing -- Digital techniques -- Periodicals; Digital video -- Periodicals; 621.3822
• DOI: 10.1007/s11760-016-0877-6
• Languages: English
• ISSNs: 1863-1703

Abstract

Abstract This paper presents a new multi-scale decomposition algorithm which enables the blind separation of convolutely mixed images. The proposed algorithm uses a wavelet-based transform, called Adaptive Quincunx Lifting Scheme (AQLS), coupled with a geometric demixing algorithm calledDeds . The resulting deconvolution process is made up of three steps. In the first step, the convolutely mixed images are decomposed by AQLS. Then, Deds is applied to the more relevant component to unmix the transformed images. The unmixed images are, thereafter, reconstructed using the inverse of the AQLS transform. Experiments carried out on images from various origins show the superiority of the proposed method over many widely used blind deconvolution algorithms.