| 利用Mahalanobis距离进行人脸表情的识别 |
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| 引用本文： | 屈志毅,黄鹤鸣,孔令旺.利用Mahalanobis距离进行人脸表情的识别[J].兰州大学学报(自然科学版),2005,41(6):66-68. |
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| 作者姓名： | 屈志毅 黄鹤鸣 孔令旺 |
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| 作者单位： | 1. 兰州大学,信息科学与工程学院,甘肃,兰州,730000
2. 青海师范大学,物理系,青海,西宁,810000 |
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| 摘 要： | 提出了利用Mahalanobis距离进行人脸表情识别的方法.首先将待分类的图像样本集进行坐标变换,使得变换以后类间离散度尽可能大而类内离散度尽可能小,即使变换以后的Fisher准则函数取得极大值,在新的坐标下求每个待分类样本到各类均值向量的Mahalanobis距离,从而将待分类的样本归到Mahalanobis距离最小的类中去,通过实验得到了平均80.25%的识别率.
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| 关 键 词： | 人脸表情识别 Mahalanobis距离 类内离散度距阵 类间离散度距阵 Fisher准则 |
| 文章编号： | 0455-2059（2005）06-0066-03 |
| 收稿时间： | 07 9 2004 12:00AM |
| 修稿时间： | 2004-07-09 |
Mahalanobis distance based facial expression recognition |
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| Q Zhi-yi,HUANG He-ming,KONG Ling-wang.Mahalanobis distance based facial expression recognition[J].Journal of Lanzhou University(Natural Science),2005,41(6):66-68. |
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| Authors: | Q Zhi-yi HUANG He-ming KONG Ling-wang |
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| Institution: | 1. School of Information Science and Engineering, Lanzhou University, Lanzhou, 730000, China; 2. Department of Physics, Qinghai Normal University, Xining, 810000, China |
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| Abstract: | It was proposed that Mahalanobis distance based technique could classify four facial expressions namely: neutral, joyful, surprised and sad. First we've mapped all the sample vectors to a new coordinate by using the optimal linear transform matrix W that makes Fisher criterion function maximum. Then in this new coordinate we calculated the Mahalanobis distance of every sample vector to the mean vectors of the four classes and classified it to the class to which its Mahalanobis distance is the least, and the average recognition rate we've got is 80.25%. |
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| Keywords: | facial expression recognition Mahalanobis distance scatter matrix within class scatter matrix between class Fisher criterion |
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