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PCA: Principal Components Analysis (PCA) PCA, commonly referred to as the use of eigenfaces, is the technique pioneered by Kirby and Sirivich in 1988. With PCA, the probe and gallery images must be the same size and must first be normalized to line up the eyes and mouth of the subjects within the images. The PCA approach is then used to reduce the dimension of the data by means of data compression basics2 and reveals the most effective low dimensional structure of facial patterns. This reduction in dimensions removes information that is not useful4 and precisely decomposes the face structure in toorthogonal (uncorrelated) components known as eigenfaces. Each face image may be represented as a weighted sum (feature vector) of the eigenfaces, which are stored in a 1D array. A probe image is compared against a gallery image by measuring the distance between their respective feature vectors. The PCA approach typically requires the full frontal face to be presented each time; otherwise the image results in poor performance.4 The primary advantage of this technique is that it can reduce the data needed to identify the individual to 1/1000th of the data presented. 5This Document Last Updated: 7 August 2006 Page 2 of 10 Face Recognition Figure 1: Standard Eigenfaces: Feature vectors are derived using eigenfaces.6 LDA: Linear Discriminant Analysis LDA is a statistical approach for classifying samples of unknown classes based on training samples with known classes.4 (Figure 2)This technique aims to maximize between-class (i.e., across users) variance and minimize within-class (i.e., within user)variance. In Figure 2 where each block represents a class, there are large variances between classes, but little variance within classes. When dealing with high dimensional face data, this technique faces the small sample size problem that arises where there are a small number of available training samples compared to the dimensionality of the sample space.7 Figure 2: Example of Six Classes Using LDA 8This Document Last Updated: 7 August 2006 Page 3 of 10Face Recognition EBGM: Elastic Bunch Graph Matching EBGM relies on the concept that real face images have many nonlinearcharacteristics that are not addressed by the linear analysismethods discussed earlier, such as variations in illumination(outdoor lighting vs. indoor fluorescents), pose (standing straightvs. leaning over) and expression (smile vs. frown). A Gaborwavelet transform creates a dynamic link architecture thatprojects the face onto an elastic grid.4 The Gabor jet is a node onthe elastic grid, notated by circles on the image below, whichdescribes the image behavior around a given pixel. It is the resultof a convolution of the image with a Gabor filter, which is used todetect shapes and to extract features using image processing. [Aconvolution expresses the amount of overlap from functions,blending the functions together.] Recognition is based on thesimilarity of the Gabor filter response at each Gabor node.4 Thisbiologically-based method using Gabor filters is a processexecuted in the visual cortex of higher mammals. The difficultywith this method is the requirement of accurate landmarklocalization, which can sometimes be achieved by combining PCAand LDA methods.4 Figure 4: Elastic Bunch Map Graphing.9 |
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愛與雨下: 請解釋一下 2012-12-26 21:46:02
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主成分分析：主成分分析（常設仲裁法院） 主成分分析，通常稱為使用的特征，是首創(chuàng)的技術和sirivich柯比在1988。主成分分析，探頭和畫廊的圖片必須是相同的大小，必須首先正常化線的眼睛和嘴的科目內(nèi)的圖像。主成分分析法是用來減少維度的數(shù)據(jù)通過數(shù)據(jù)壓縮basics2揭示最有效的低維結構的面部形態(tài)。這減少了尺寸，消除信息不useful4和精確分解結構在toorthogonal（無關）部件被稱為特征。每個人臉圖像可以表示為一個加權（特征向量）的特征，這是存儲在一個一維數(shù)組。探針圖像比對一個畫廊圖像之間的距離測量它們各自的特征向量。主成分分析法通常需要全臉是每次；否則圖像導致性能較差。4主要利用這一技術，它可以減少所需的數(shù)據(jù)確定個人1 /第一千的數(shù)據(jù)。 這文件最后更新：7威嚴的2006頁2 10 圖1：標準特征臉的人臉識別：特征向量推導使用6的特征。 分析：線性判別分析 是一種統(tǒng)計方法進行分類未知樣品類別根據(jù)訓練樣本與已知類別。4（圖2）這種技術的目的是最大限度地類（即，在用戶）方差最小化類內(nèi)（即，在用戶）方差。在圖2中，每一塊代表一個階級，有很大的差異，階級之間，但很少差額內(nèi)部類。在處理高維數(shù)據(jù)，這種技術所面臨的小樣本問題出現(xiàn)在有少量訓練樣本的比較維度的樣本空間。7 圖2：例如六類激光8文件最后更新：7威嚴的2006頁3 10face識別 彈性圖像匹配算法：彈性束圖匹配 彈性圖像匹配算法依賴的概念，真正的人臉圖像有許多nonlinearcharacteristics，沒有處理的線性分析方法討論，如光照的變化（戶外照明和室內(nèi)熒光燈），姿勢（站straightvs。俯身）和表達（笑比皺眉）。一個gaborwavelet變換創(chuàng)建動態(tài)鏈接結構thatprojects面臨到一個網(wǎng)格。4該射流是一個節(jié)點在彈性網(wǎng)格，標記圓圈下面的圖像，whichdescribes圖像的行為在一個給定的像素。這后者是卷積的圖像提供了一個濾波器，這是用來檢測的形狀和特征提取的圖像處理。[ aconvolution表示數(shù)量的重疊的功能，融合功能。]識別是基于thesimilarity的伽柏濾波器響應每個伽柏節(jié)點。4 thisbiologically-based方法使用濾波器是一個processexecuted在視覺皮層較高哺乳動物。該difficultywith是這種方法的要求，準確landmarklocalization，有時可通過結合4 pcaand測速方法。 圖4：彈性束圖9圖表。  |
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