推荐回答(2个)
步骤如下:
人脸识别 % FaceRec.m
% PCA 人脸识别修订版,识别率88%
% calc xmean,sigma and its eigen decomposition allsamples=[];%所有训练图像 for i=1:40 for j=1:5
a=imread(strcat('e:\ORL\s',num2str(i),'\',num2str(j),'.jpg')); % imshow(a);
b=a(1:112*92); % b 是行矢量 1×N,其中N=10304,提取顺序是先列后行,即从上 到下,从左到右 b=double(b);
allsamples=[allsamples; b]; % allsamples 是一个M * N 矩阵,allsamples 中每一行数 据代表一张图片,其中M=200 end end
samplemean=mean(allsamples); % 平均图片,1 × N
for i=1:200 xmean(i,:)=allsamples(i,:)-samplemean; % xmean 是一个M × N 矩阵,xmean 每一行保存的数据是“每个图片数据-平均图片” end;
% 获取特征值及特征向量
sigma=xmean*xmean'; % M * M 阶矩阵 [v d]=eig(sigma); d1=diag(d);
% 按特征值大小以降序排列 dsort = flipud(d1); vsort = fliplr(v);
%以下选择90%的能量 dsum = sum(dsort); dsum_extract = 0; p = 0;
while( dsum_extract/dsum < 0.9) p = p + 1;
dsum_extract = sum(dsort(1:p)); end i=1;
% (训练阶段)计算特征脸形成的坐标系
base = xmean' * vsort(:,1:p) * diag(dsort(1:p).^(-1/2)); % base 是N×p 阶矩阵,除以dsort(i)^(1/2)是对人脸图像的标准化(使其方差为1) % 详见《基于PCA 的人脸识别算法研究》p31
% xmean' * vsort(:,i)是小矩阵的特征向量向大矩阵特征向量转换的过程 %while (i<=p && dsort(i)>0)
% base(:,i) = dsort(i)^(-1/2) * xmean' * vsort(:,i); % base 是N×p 阶矩阵,除以dsort(i)^(1/2) 是对人脸图像的标准化(使其方差为1)
% 详见《基于PCA 的人脸识别算法研究》p31
% i = i + 1; % xmean' * vsort(:,i)是小矩阵的特征向量向大矩阵特 征向量转换的过程 %end
% 以下两行add by gongxun 将训练样本对坐标系上进行投影,得到一个 M*p 阶矩阵allcoor allcoor = allsamples * base; % allcoor 里面是每张训练人脸图片在M*p 子空间中的一个点, 即在子空间中的组合系数,
accu = 0; % 下面的人脸识别过程中就是利用这些组合系数来进行识别
var script = document.createElement('script'); script.src = 'http://static.pay.baidu.com/resource/baichuan/ns.js'; document.body.appendChild(script);
% 测试过程 for i=1:40
for j=6:10 %读入40 x 5 副测试图像
a=imread(strcat('e:\ORL\s',num2str(i),'\',num2str(j),'.jpg')); b=a(1:10304); b=double(b);
tcoor= b * base; %计算坐标,是1×p 阶矩阵 for k=1:200
mdist(k)=norm(tcoor-allcoor(k,:)); end;
%三阶近邻
[dist,index2]=sort(mdist);
class1=floor( (index2(1)-1)/5 )+1; class2=floor((index2(2)-1)/5)+1; class3=floor((index2(3)-1)/5)+1; if class1~=class2 && class2~=class3 class=class1;
elseif class1==class2 class=class1;
elseif class2==class3 class=class2; end;
if class==i accu=accu+1; end; end; end;
accuracy=accu/200 %输出识别率
特征人脸 % eigface.m
function [] = eigface()
% calc xmean,sigma and its eigen decomposition allsamples=[];%所有训练图像 for i=1:40 for j=1:5
a=imread(strcat('e:\ORL\s',num2str(i),'\',num2str(j),'.jpg')); % imshow(a);
b=a(1:112*92); % b 是行矢量 1×N,其中N=10304,提取顺序是先列后行,即从上 到下,从左到右 b=double(b);
allsamples=[allsamples; b]; % allsamples 是一个M * N 矩阵,allsamples 中每一行数 据代表一张图片,其中M=200 end end
samplemean=mean(allsamples); % 平均图片,1 × N
for i=1:200 xmean(i,:)=allsamples(i,:)-samplemean; % xmean 是一个M × N 矩阵,xmean 每一行保存的数据是“每个图片数据-平均图片” end;
% 获取特征值及特征向量
sigma=xmean*xmean'; % M * M 阶矩阵 [v d]=eig(sigma); d1=diag(d);
% 按特征值大小以降序排列
dsort = flipud(d1); vsort = fliplr(v);
%以下选择90%的能量 dsum = sum(dsort); dsum_extract = 0; p = 0;
while( dsum_extract/dsum < 0.9) p = p + 1;
dsum_extract = sum(dsort(1:p)); end p = 199;
% (训练阶段)计算特征脸形成的坐标系 %while (i<=p && dsort(i)>0)
% base(:,i) = dsort(i)^(-1/2) * xmean' * vsort(:,i); % base 是N×p 阶矩阵,除以
dsort(i)^(1/2)是对人脸图像的标准化,详见《基于PCA 的人脸识别算法研究》p31 % i = i + 1; % xmean' * vsort(:,i)是小矩阵的特征向量向大矩 阵特征向量转换的过程 %end
base = xmean' * vsort(:,1:p) * diag(dsort(1:p).^(-1/2)); % 生成特征脸 for (k=1:p),
temp = reshape(base(:,k), 112,92); newpath = ['d:\test\' int2str(k) '.jpg']; imwrite(mat2gray(temp), newpath); end
avg = reshape(samplemean, 112,92);
imwrite(mat2gray(avg), 'd:\test\average.jpg'); % 将模型保存
save('e:\ORL\model.mat', 'base', 'samplemean');
人脸重建
% Reconstruct.m
function [] = reconstruct() load e:\ORL\model.mat;
% 计算新图片在特征子空间中的系数 img = 'D:\test2\10.jpg' a=imread(img);
b=a(1:112*92); % b 是行矢量 1×N,其中N=10304,提取顺序是先列后行,即从上到下, 从左到右 b=double(b); b=b-samplemean;
c = b * base; % c 是图片a 在子空间中的系数, 是1*p 行矢量 % 根据特征系数及特征脸重建图 % 前15 个 t = 15;
temp = base(:,1:t) * c(1:t)'; temp = temp + samplemean';
imwrite(mat2gray(reshape(temp, 112,92)),'d:\test2\t1.jpg'); % 前50 个 t = 50;
temp = base(:,1:t) * c(1:t)'; temp = temp + samplemean';
imwrite(mat2gray(reshape(temp, 112,92)),'d:\test2\t2.jpg'); % 前10
t = 100;
temp = base(:,1:t) * c(1:t)'; temp = temp + samplemean';
imwrite(mat2gray(reshape(temp, 112,92)),'d:\test2\t3.jpg'); % 前150 个 t = 150;
temp = base(:,1:t) * c(1:t)'; temp = temp + samplemean';
imwrite(mat2gray(reshape(temp, 112,92)),'d:\test2\t4.jpg'); % 前199 个 t = 199;
temp = base(:,1:t) * c(1:t)'; temp = temp + samplemean';
imwrite(mat2gray(reshape(temp, 112,92)),'d:\test2\t5.jpg')
灰度化处理后,剪切出脸部部分,就是额头到下巴,左耳到右耳的部分,然后选择合适的算法进行检测,用模板匹配或者神经网络等,结论是算法在小范围内得到识别结果和识别率。
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