JZUS - Journal of Zhejiang University SCIENCE

Frontiers of Information Technology & Electronic Engineering 2020 Vol.21 No.9 P.1334-1345

http://doi.org/10.1631/FITEE.1900552

Subspace transform induced robust similarity measure for facial images

Author(s): Jian Zhang, Heng Zhang, Li-ling Bo, Hong-ran Li, Shuai Xu, Dong-qing Yuan
Affiliation(s): Department of Computer Engineering, Jiangsu Ocean University, Lianyungang 222005, China; more
Corresponding email(s): zhangjian@jou.edu.cn, zhangheng@jou.edu.cn
Key Words: Subspace analysis, Image similarity measure, Face recognition, Pattern recognition

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Abstract: Similarity measure has long played a critical role and attracted great interest in various areas such as pattern recognition and machine perception. Nevertheless, there remains the issue of developing an efficient two-dimensional (2D) robust similarity measure method for images. Inspired by the properties of subspace, we develop an effective 2D image similarity measure technique, named transformation similarity measure (TSM), for robust face recognition. Specifically, the TSM method robustly determines the similarity between two well-aligned frontal facial images while weakening interference in the face recognition by linear transformation and singular value decomposition. We present the mathematical features and some odds to reveal the feasible and robust measure mechanism of TSM. The performance of the TSM method, combined with the nearest neighbor rule, is evaluated in face recognition under different challenges. Experimental results clearly show the advantages of the TSM method in terms of accuracy and robustness.

子空间变换诱导的稳健人脸图像相似度度量

张键¹，张恒²，薄丽玲²，李宏然¹，徐帅¹，袁冬青²
¹江苏海洋大学计算机工程学院，中国连云港市，222005
²江苏海洋大学数学系，中国连云港市，222005

摘要：相似度度量方法在许多领域（如模式识别与机器感知）扮演着重要角色，引起国内外学者重点关注。当前，为图像构建二维稳健的相似度度量方法仍是重要研究课题。本文针对稳健人脸识别问题，基于子空间性质，提出一种有效且稳健的二维图像相似度度量方法。该方法通过线性变换与奇异值分解，度量两幅对齐人脸图像的相似度，同时消弱人脸识别过程中的干扰。展示了该方法的数学特征及度量特性，进而揭示所提方法的可行性与稳健机制。结合最近邻分类器，评估了所提方法在不同挑战下的人脸识别性能。实验结果表明所提方法在准确性和稳健性方面具有一定优势。

关键词：子空间分析；图像相似度度量；人脸识别；模式识别

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