基于PCA算法的人脸识别 - 图文

太原科技大学

毕 业 设 计（论 文）

设计(论文)题目：基于PCA算法的人脸识别

姓 名_____姜锐__________ 学院（系）__华科学院_____ 专 业____通信工程________ 年 级____08级___________ 指导教师____牛雪梅__________

2012年 6月

太原科技大学华科学院毕业设计（论文）

太原科技大学毕业设计（论文）任务书

学院（直属系）：电子信息工程系 时间：2012年 1月 14日 学 生 姓 名 设计（论文）题目 姜锐 指 导 教 师 牛雪梅 基于PCA算法的人脸识别 主要研 究内容 首先学习了PCA算法的基本知识和原理，学习在Matlab环境中实现PCA算法在人脸识别方面的应用并仿真。 研究方法 在Matlab环境中应用PCA算法对人脸识别进行应用的仿真。 主要技术指标(或研究目标) 1、掌握Matlab软件的应用及PCA算法。 2、实现PCA算法在人脸识别方面的仿真及对其进行分析。 教研室 意见 教研室主任（专业负责人）签字： 年 月 日 说明：一式两份，一份装订入学生毕业设计（论文）内，一份交学院（直属系）。

太原科技大学华科学院毕业设计（论文）

太原科技大学华科学院毕业设计（论文）

目录

摘要 ········································································································································· Ⅲ ABSTRACT ································································································································ Ⅳ 第1章 人脸识别概述 ······································································································ -1- 1.1 人脸识别技术 ············································································································ 3 1.2 人脸识别的研究背景及意义 ················································································ 4 1.3 人脸识别理论的发展 ··························································································· 5 1.4 人脸识别的难点 ······································································································ 6 第2章 人脸识别的常用算法 ····························································································· 9 2.1 人脸识别常用方法 ································································································· 9 2.2 PCA方法的优点 ····································································································· 10 第3章 PCA人脸识别方法 ································································································ 12 3.1 简介 ························································································································· 12 3.2 问题描述 ············································································································ 12 3.2.1 KL变换原理 ··································································································· 13 3.2.2 利用 PCA 进行人脸识别 ············································································ 14 3.3 PCA 的理论基础 ···································································································· 15 3.3.1 投影 ················································································································· 15 3.3.2 PCA 的作用及其统计特性 ·········································································· 15 3.3.3 特征脸 ············································································································ 17 3.3.4 图片重建 ········································································································ 17 3.3.5 奇异值分解（SVD） ···················································································· 18 3.3.6 利用小矩阵计算大矩阵特征向量 ······························································· 18 3.3.7图片归一化 ······································································································· 19 第4 人脸识别系统的设计及实现 ··················································································· 20 4.1 人脸识别流程 ·········································································································· 20 4.2 离线学习和在线匹配 ··························································································· 21 4.3 人脸识别中PCA算法步骤及过程 ····································································· 22

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