Locally nonlinear transformation for facial image superresolution

Xiao Zeng; Hua Huang

doi:10.1117/1.OE.52.2.027001

1 February 2013 Locally nonlinear transformation for facial image superresolution

Xiao Zeng, Hua Huang

Author Affiliations +

Funded by: National Basic Research Program of China, 973 Program, New Century Excellent Talents in University, SRFDP

Optical Engineering, Vol. 52, Issue 2, 027001 (February 2013). https://doi.org/10.1117/1.OE.52.2.027001

Abstract

Reconstruction of a high-resolution face image, from a low-resolution observation based on a set of high- and low-resolution training image pairs, is an important problem for optical engineering applications. In this paper, we study this facial superresolution problem and propose a novel locally nonlinear transformation based approach. Multiple locally nonlinear transformation are utilized to approximate the global nonlinear connections between low resolution (LR)/high resolution (HR) images. LR/HR images are initially divided into multiple pairs of patches with the corresponding position information. As facial images are highly structured, patches at the same position spanned a subspace. Since the curse of dimensionality is avoided in these subspaces (patches in the same position), the Euclidean distance can express the intrinsic “radial” between samples in the same subspace. Therefore, multiple radial basis functions are utilized to approximate the nonlinear mapping between LR/HR pairs at each position from training examples. The proposed locally nonlinear transformation (LNT)-based reconstruction is achieved by applying the learned nonlinear transformation to each position patch of an LR input. The final SR results are obtained by refining the LNT reconstruction by the projection onto a convex sets algorithm using the consistency constraint. Extensive experiments on benchmark databases and real world images validate the superiority of the proposed method.

Citation Download Citation

Xiao Zeng and Hua Huang "Locally nonlinear transformation for facial image superresolution," Optical Engineering 52(2), 027001 (1 February 2013). https://doi.org/10.1117/1.OE.52.2.027001

Published: 1 February 2013

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