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仿射不变的自适应局部线性嵌入

顾播宇1, 孙俊喜2, 李洪祚1, 刘广文1, 曹永刚1,3(1.长春理工大学电子信息工程学院, 长春 130022;2.东北师范大学计算机科学与信息技术学院, 长春 130117;3.中国科学院长春光学精密机械与物理研究所, 长春 130033)

摘 要
目的 为将流形学习有效应用于图像的降维与识别中,并消除图像的仿射变换对流形结构产生的影响,提出一种仿射不变的自适应局部线性嵌入算法。方法 该算法在局部线性嵌入的基础上,为适应产生各种仿射变换的图像样本,引入切线距离计算各样本之间的相似程度,以此描述样本空间中的距离,并通过图像相似度函数自适应计算样本空间中每一点的邻域数量。结果 实验结果表明,该算法能够构造出更合理的低维流形结构,并有效提升统计识别的正确率。结论 本文算法对仿射变换不敏感,表现出更强的稳健性。
关键词
Affine invariant adaptive locally linear embedding

Gu Boyu1, Sun Junxi2, Li Hongzuo1, Liu Guangwen1, Cao Yonggang1,3(1.School of Electronics and Information Engineering, Changchun University of Science and Technology, Changchun 130022, China;2.School of Computer Science and Information Technology, Northeast Normal University, Changchun 130117, China;3.Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China)

Abstract
Objective In order to apply the manifold learning approach to image dimension reduction and recognition, an affine invariant adaptive locally linear embedding algorithm is proposed. Method Tangent distance is introduced and combined with locally linear embedding. In the sample space, the distance is described by an affine invariant image similarity based on the tangent distance method. The neighborhood size of every point in sample space is computed adaptively by simi-larity function. Result Experimental results show that the proposed algorithm is able to create low dimensional manifold structure more reasonably, and improve the recognition rate. Conclusion The proposed algorithm is insensitive to affine transformation and performs more robust.
Keywords

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