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The Restoration of Textured Images Using Fractional-Order Regularization (2014)

Ying Fu, Xiaohua Li, Lei Liang, Yi Zhang, and Jiliu Zhou

Hindawi

In: Mathematical Problems in Engineering

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Publication Date: 2014-04-15

Description: Image restoration problem is ill-posed, so most image restoration algorithms exploit sparse prior in gradient domain to regularize it to yield high-quality results, reconstructing an image with piecewise smooth characteristics. While sparse gradient prior has good performance in noise removal and edge preservation, it also tends to remove midfrequency component such as texture. In this paper, we introduce the sparse prior in fractional-order gradient domain as texture-preserving strategy to restore textured images degraded by blur and/or noise. And we solve the unknown variables in the proposed model using method based on half-quadratic splitting by minimizing the nonconvex energy functional. Numerical experiments show our algorithm's robust outperformance.

Print ISSN: 1024-123X

Electronic ISSN: 1563-5147

Topics: Mathematics , Technology

Published by Hindawi

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