计算机科学 ›› 2014, Vol. 41 ›› Issue (6): 275-277.doi: 10.11896/j.issn.1002-137X.2014.06.054

• 图形图像与模式识别 • 上一篇    下一篇

基于二维局部鉴别高斯的特征提取方法

张智斌,朱俊勇,郑伟诗,王倩,赖剑煌   

  1. 中山大学数学与计算科学学院 广州510275;华南理工大学数学系 广州510641;中山大学数学与计算科学学院 广州510275;中山大学信息科学与技术学院 广州510275;中山大学数学与计算科学学院 广州510275;中山大学信息科学与技术学院 广州510275
  • 出版日期:2018-11-14 发布日期:2018-11-14
  • 基金资助:
    本文受国家自然科学基金(61128009),国家科技支撑项目(2012BAK16B06),广东省科技计划项目(2012B010100035),广东省自然科学基金(S2012010009926),中央高校基本科研业务费专项资金(2013ZM0094、2013ZM0114)资助

Feature Extraction Based on 2D Local Discriminative Gaussians

ZHANG Zhi-bin,ZHU Jun-yong,ZHENG Wei-shi,WANG Qian and LAI Jian-huang   

  • Online:2018-11-14 Published:2018-11-14

摘要: 特征提取是人脸识别的关键。特征提取方法一般需要预先把二维图像转化成一维图像向量。然而高维的图像向量会导致不能快速、精确地计算所需的协方差矩阵及其特征向量。针对该问题,提出了一种基于二维局部鉴别高斯的特征提取方法(2D-LDG)。该方法继承一维局部鉴别高斯降维方法的优点,其目标函数是留一交叉验证误差的光滑逼近,并且只考虑训练样本的局部分布,对训练样本的全局分布不做任何假设。同时,2D-LDG直接对二维图像做特征提取,不需要事先把图像转化为维数巨大的图像向量,能快速、精确地计算协方差矩阵及其特征向量。在ORL、YaleB人脸数据库上的实验结果表明,2D-LDG特征提取方法有良好的识别效果。

关键词: 特征提取,局部鉴别高斯模型,人脸识别 中图法分类号TP391.41文献标识码A

Abstract: Feature extraction plays an important role in face recognition.In general,feature extraction methods need to transfer the 2D images into 1D vectors.As a result,it is hard to calculate the covariant matrix and eigen-vector efficiently and exactly due to the high dimensionality.This paper proposed a new feature extraction method named 2D local discriminant Gaussian (2D-LDG).It inherits the properties of LDG and the objective function of proposed method is also an approximation to the leave-one-out training error of a local quadratic discriminant analysis classifier.Also,it applies local Gaussians to eastimate probability in each point,relaxing the assumption on the class probability density function.Meanwhile,2D-LDG is operated on 2D images directly which avoids turning the image matrixes into high dimensional vectors,and is able to calculate the covariance matrix and eigen-vector in a more efficient and accurate way.Experiments on ORL and YaleB-Extended show that our proposed 2D-LDG feature extraction method achieves better performance in face recognition.

Key words: Feature extraction,Local discriminative Gaussians model,Face recognition

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