Abstract
Position-patch based approaches have been proposed for single-image face hallucination. This paper models the face hallucination problem as a coefficient recovery problem with respect to an adaptive training set for improved noise robustness. The image-adaptive training set is constructed by corrupting a local training set of position-patches by adding specific amounts of noise depending on the input image noise level. In this proposed method, image denoising and super-resolution are simultaneously carried out to obtain superior results. Though the principle is general and can be extended to most super-resolution algorithms, we discuss this in context of existing locality-constrained representation (LcR) approach in order to compare their performances. It can be demonstrated that the proposed approach can quantitatively and qualitatively yield better results in high noisy environments.
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Notes
If \(\gamma = \{\gamma _{m}\}_{m=1}^{M}\), the l p norm of γ is defined as \(\|\gamma \|_{p} = (|\gamma _{1}|^{p} + |\gamma _{2}|^{p} + ... + |\gamma _{M}|^{p})^{\frac {1}{p}}\), for a real number p≥1. The l 0 norm is a pseudo-norm and is defined as the number of non-zero coefficients in γ,i.e., ∥γ∥0 = #{m:γ m ≠0}
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Rohit U., Abdu Rahiman V. & George, S.N. A robust face hallucination technique based on adaptive learning method. Multimed Tools Appl 76, 16809–16829 (2017). https://doi.org/10.1007/s11042-016-3953-6
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DOI: https://doi.org/10.1007/s11042-016-3953-6