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Journal of Software:2015.26(6):1386-1394

最坏分离的联合分辨率判别分析
杨磊磊,陈松灿
(南京航空航天大学 计算机科学与技术学院, 江苏 南京 210016)
Worst-Separated Couple-Resolution Discriminant Analysis
YANG Lei-Lei,CHEN Song-Can
(College of Computer Science and Technology, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China)
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Received:June 02, 2013    Revised:March 27, 2014
> 中文摘要: 现实中,常需辨识低分辨率(low-resolution,简称LR)图像(如监控系统所捕捉的人脸),但相比通常的高(high-resolution,简称HR)或超(super-resolution,简称SR)分辨率图像而言,其含有相对较少的判别信息,致使通常的子空间学习算法,如结合主成分分析(principal components analysis,简称PCA)的线性判别分析(linear discriminant analysis,简称LDA)难以获得理想的识别效果.为了缓和该问题,最近所提出的联合判别分析(如SDA)借助与低分辨率相配对的高分辨率图像辅助设计LR图像分类器.在SDA的实现中,其采用了类似LDA的平均散度定义,使SDA遗传了LDA在投影时难以使相对靠近的类充分分离的问题.为了克服该不足,提出了针对LR图像识别的最坏分离的联合分辨率判别分析(worst-separated couple-resolution discriminant analysis,简称WSCR),从而使:(1) LR和HR投影到同一低维子空间;(2) 投影后的最小类间隔最大化.实验结果表明:与SDA相比,WSCR更适用于低分辨率的图像识别.
Abstract:Low-resolution is an important issue when handling real world image recognition problems. The performance of traditional recognition algorithms, e.g. LDA/PCA, usually drops drastically due to the loss of discriminant information compared to those for high-resolution or super-resolution images. In order to solve this problem, many methods have been proposed in recent years based on coupled projections, i.e. learning two sets of different projections, one for high-resolution images and one for low-resolution images. For example, SDA (simultaneous discriminant analysis) obtains projections by maximizing the average between-class scatter while minimizing the average within-class scatters. Like LDA, SDA cannot separate projected classes, especially for those that are closer to each other. In this paper, a novel discriminant analysis method is proposed to achieve the optimal projections by maximizing the minimum distance between pair-wise classes. Experiments on several image datasets verify the efficiency of the presented methods.
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基金项目:国家自然科学基金(61170151); 教育部高等学校博士学科点专项科研基金(20133218110032) 国家自然科学基金(61170151); 教育部高等学校博士学科点专项科研基金(20133218110032)
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杨磊磊,陈松灿.最坏分离的联合分辨率判别分析.软件学报,2015,26(6):1386-1394

YANG Lei-Lei,CHEN Song-Can.Worst-Separated Couple-Resolution Discriminant Analysis.Journal of Software,2015,26(6):1386-1394