Hybrid Variational Model for Texture Image Restoration

East Asian Journal on Applied Mathematics
Vol. 7 No. 3 (2017), pp. 629-642
DOI: 10.4208/eajam.090217.300617a
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Author(s)
,
    Tieyong Zeng
    Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China HKBU Inst Res & Continuing Educ, Shenzhen Virtual Univ Pk, Shenzhen 518057, Peoples R China
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,
1 Chinese Acad Sci, Inst Microelect, Beijing, Peoples R China
2 Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China
3 HKBU Inst Res & Continuing Educ, Shenzhen Virtual Univ Pk, Shenzhen 518057, Peoples R China
Received
February 9, 2017
Accepted
June 30, 2017
Abstract

The hybrid variational model for restoration of texture images corrupted by blur and Gaussian noise we consider combines total variation regularisation and a fractional-order regularisation, and is solved by an alternating minimisation direction algorithm. Numerical experiments demonstrate the advantage of this model over the adaptive fractional-order variational model in image quality and computational time.

Keywords
Image deblurring total variation fractional-order regularisation.
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