Title :
Shearlet-based deconvolution under the framework of Bayesian
Author :
Hong Zhang ; Xiaomin Mu ; Lei Gao
Author_Institution :
Sch. of Inf. Eng., Zhengzhou Univ., Zhengzhou, China
Abstract :
Shearlet transform which is based on a multiresolution analysis and built in the discrete framework provides efficient multiscale directional representations and yields approximately optimal representation properties. We employ the Laplacian model to describe the coefficients in shearlet domain, then in the MAP theory, a shearlet-based deblurring problem is equivalent to an optimization problem. Experimental results show the effectiveness of the algorithm corresponding to the optimization model and also show that the proposed deblurring method outperforms significantly than the existing prototype methods in Fourier domain and Wavelet domain in the perspective of both subjective vision and objective criteria.
Keywords :
Bayes methods; deconvolution; discrete wavelet transforms; image representation; image resolution; image restoration; maximum likelihood estimation; optimisation; Bayesian framework; Laplacian model; MAP theory; discrete framework; maximum a posterior estimation; multiresolution analysis; multiscale directional representations; objective criteria; optimal representation properties; optimization problem; shearlet domain coefficients; shearlet transform; shearlet-based deblurring problem; shearlet-based deconvolution; subjective vision; Bayes methods; Deconvolution; Educational institutions; Estimation; Image restoration; Transforms; Wavelet domain; image deconvolution; maximum a posterior estimation; shearlet transform;
Conference_Titel :
Information and Automation (ICIA), 2013 IEEE International Conference on
Conference_Location :
Yinchuan
DOI :
10.1109/ICInfA.2013.6720440