Image decomposition using a second-order variational model and wavelet shrinkage
Tran, Minh-Phuong (Ton Duc Thang university (Vietnam). Faculty of Mathematics and Statistics)
Nguyen, Thanh Nhan (Ho Chi Minh City University of Education (Vietnam). Department of Mathematics)

Data:	2019
Resum:	The paper is devoted to the new model for image decomposition, that splits an image f into three components u+v+w, where u a piecewise-smooth or the "cartoon" component, v a texture component and w the noise part in variational approach. This decomposition model in fact incorporates the advantages of two preceding models: the second-order total variation minimization of Rudin-Osher-Fatemi (ROF2), and wavelet shrinkage for oscillatory functions. This decomposition model is presented as an extension of the three components decomposition algorithm of Aujol et al. in [Dual norms and image decomposition models, Int. J. Comput. Vis. 63(1)(2005) 85-104]. It also continues the idea introduced previously by authors in [Denoising 3D medical images using a second order variational model and wavelet shrinkage, Imag. Anal. and Rec. , Lecture Notes in Computer Science, 7325(2012), 138-145], for two components decomposition model. The ROF2 model was first proposed by Bergounioux et al. in [A second-order model for image denoising, Set-Valued Anal. and Var. Anal. , 18(2010), 277-306], it is an improved regularization method to overcome the undesirable staircasing effect. The wavelet shrinkage is well combined to separate the oscillating part due to texture from that due to noise. Experimental results validate the proposed algorithm and demonstrate that the image decomposition model presents effective and comparable performance to other previous models.
Drets:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Image decomposition model ; Second-order total variation ; Rof2 model ; Wavelet shrinkage
Publicat a:	ELCVIA. Electronic letters on computer vision and image analysis, Vol. 18 Núm. 1 (2019) , p. 92-107 (Regular Issue) , ISSN 1577-5097

Adreça alternativa: https://raco.cat/index.php/ELCVIA/article/view/359601
Adreça alternativa: https://elcvia.cvc.uab.es/article/view/v18-n1-tran
Adreça original: https://elcvia.cvc.uab.cat/article/view/v18-n1-tran
DOI: 10.5565/rev/elcvia.1162

15 p, 2.9 MB

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