A green's function-based Bi-dimensional empirical mode decomposition

Al-Baddai, Saad and Al-Subari, Karema and Tome, Ana Maria and Sole-Casals, Jordi and Lang, Elmar Wolfgang (2016) A green's function-based Bi-dimensional empirical mode decomposition. INFORMATION SCIENCES, 348. pp. 305-321. ISSN 0020-0255, 1872-6291

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Abstract

Bidimensional Empirical Mode Decomposition(BEMD) interprets an image as a superposition of Bidimensional Intrinsic Mode Functions (BIMFs). They are extracted by a process called sifting, which encompasses two-dimensional surface interpolations connecting a set of local maxima or minima to form corresponding envelope surfaces. Existing surface interpolation schemes are computationally very demanding and often induce artifacts in the extracted modes. This paper suggests a novel method of envelope surface interpolation based on Green's functions. Including surface tension greatly improves the stability of the new method which we call Green's function in tension-based BEMD (GiT-BEMD). Simulation results, using toy images with various textures, facial images and functional neuroimages, demonstrate the superior performance of the new method when compared to its canonical BEMD counterpart. GiT-BEMD strongly speeds up computations and achieves a higher quality of the extracted BIMFs. Furthermore, GiT-BEMD can be extended simply to an ensemble-based variant (GiT-BEEMD), if needed. In summary, the study suggests the new variant GiT-BEMD as a highly competitive, fast and stable alternative to existing BEMD techniques for image analysis. (C) 2016 Elsevier Inc. All rights reserved.

Item Type: Article
Uncontrolled Keywords: BIDIMENSIONAL EMD; SPECT IMAGES; TIME-SERIES; CLASSIFICATION; SIGNALS; SPLINES; INTERPOLATION; RECOGNITION; CURVATURE; ALGORITHM; Empirical mode decomposition; Green's function; Surface Interpolation
Subjects: 500 Science > 570 Life sciences
Divisions: Biology, Preclinical Medicine > Institut für Biophysik und physikalische Biochemie > Prof. Dr. Elmar Lang
Depositing User: Dr. Gernot Deinzer
Date Deposited: 11 Apr 2019 11:07
Last Modified: 11 Apr 2019 11:07
URI: https://pred.uni-regensburg.de/id/eprint/3757

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