tic
%%%%%%%%每张图中光源的方向
light1=[0 -10 0];
light2=[-10 -10 0];
light3=[10 -10 0];
light4=[0 -10 10];
light5=[-10 -10 10];
light6=[10 -10 10];
%测试结束
%对光源方向进行归一化
light1 = light1 / norm(light1);
light2 = light2 / norm(light2);
light3 = light3 / norm(light3);
light4 = light4 / norm(light4);
light5 = light5 / norm(light5);
light6 = light6 / norm(light6);
%%将六张二维图读进来,注意图像必须是灰度图
img1 = rgb2gray( imread('vase1.png'));
img2 = rgb2gray( imread('vase2.png'));
img3 = rgb2gray( imread('vase3.png'));
img4 = rgb2gray( imread('vase4.png'));
img5 = rgb2gray( imread('vase5.png'));
img6 = rgb2gray( imread('vase6.png'));
%设置光源矩阵
S= [light1; light2 ;light3; light4; light5; light6];
%初始化b,b存储每一个像素点分别沿x,y,z轴的反射率
b=ones(800,800,3);
b=double(b);
%初始化p,q,p,q分别存储沿x轴,y轴的单位反射率,也就是沿x,y的梯度
p=ones(800,800);
p=double(p);
q=p;
%初始化Z,Z存储图像中每一个像素点的高度值
Z=ones(800,800);
Z=double(Z);
for i=1:800
for j=1:800
E=[img1(i,j) img2(i,j) img3(i,j) img4(i,j) img5(i,j) img6(i,j)];
E=double(E');
tb= (inv(S'*S))*S'*E; %tb是3*1矩阵,求的是目标本身的反射率
nbm = norm(tb);%求tb的范数
if( nbm == 0)
b(i,j,:) = 0;
else
b(i,j,:) = tb / nbm; %b存储归一化后的反射率
end
%tM是个中间变量,存储一个点沿x,y,z轴的反射率
tM = [b(i,j,1) b(i,j,2) b(i,j,3)];
nbm = norm(tM);
if( nbm == 0)
tM = [0 0 0];
else
tM = tM / nbm;
end
p(i,j)=tM(1,1);%p是改点沿x轴的单位反射率,也就是沿x轴的梯度
q(i,j)=tM(1,2);%q是改点沿y轴的单位反射率,也就是沿y轴的梯度
end
end
%对p,q进行积分,就可求出每一个像素点的高度值
for i=1:800
for j=1:800
Z(i,j) = sum(q(1:i, 1)) + sum(p(i,1:j));
end
end
Z = Z*-1;
figure(1);
hold on;
for i=1:2:800
for j=1:2:800
plot3(j+b(i,j,1),i+b(i,j,2),b(i,j,3),'b' );%显示梯度图像
end
end
hold off;
figure(2);
mesh(Z);
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