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⛄ 内容介绍
在移相法测量光学波面或物体形貌过程中,相位解包裹是条纹自动分析中的关键技术,而质量图对解包裹相位算法起着至关重要的作用.用计算机模拟干涉图获得相位导数偏差质量图,指出其在标识相位数据质量方面的不足,并根据调制度结合相位梯度构造出新的质量图(称之为调制度-相位梯度偏差质量图)来弥补此缺陷.再以新质量图数据为权值,采用加权最小二乘解包裹算法验证新质量图的可靠性
⛄ 部分代码
%%%%%%%%%%%%%%%%%%%%% test phase unwrap
% parameters
close all
N = 512;
ampPhase = 20;
noise = 0.5;
[x, y] = meshgrid(linspace(-1,1,N));
%%%%% (1) unweighted case
% original unwrapped phase
phi = exp(-(x.*x+y.*y)/2/0.2^2) * ampPhase + (x + y) * ampPhase/2;
% wrapped phase
psi = wrapToPi(phi + randn(size(phi))*noise);
% unweighted case
abc = tic;
phi2 = phase_unwrap(psi);
disp(sprintf('Unweighted phase unwrap of a %dx%d image takes %f seconds', N, N, toc(abc)));
% show the images
close all;
subplot(2,2,1);
imagesc(phi); title('Original phase');
subplot(2,2,2);
imagesc(psi); title('Wrapped phase with noise');
subplot(2,2,3);
imagesc(ones(N)); title('Weight');
subplot(2,2,4);
imagesc(phi2); title('Unwrapped phase');
%%%%% (2) now test the weighted case
weight = ones(N);
xregion = floor(N/4):floor(N/2);
yregion = floor(N/4):floor(N/2);
weight(yregion, xregion) = 0;
% change the zero-weighted region to noise only
psi3 = psi;
psi3(yregion, xregion) = randn([length(yregion), length(xregion)]);
% now unwrap
bac = tic;
phi3 = phase_unwrap(psi3, weight);
disp(sprintf('Weighted phase unwrap of a %dx%d image takes %f seconds', N, N, toc(bac)));
% show the images
figure;
subplot(2,2,1);
imagesc(phi); title('Original phase');
subplot(2,2,2);
imagesc(psi3); title('Wrapped phase with noise');
subplot(2,2,3);
imagesc(weight); title('Weight');
subplot(2,2,4);
imagesc(phi3); title('Unwrapped phase');
%%%%% (3) test the weighted case (with noise in the border)
weight4 = zeros(N)+0.01;
xregion = floor(N/5):floor(4*N/5);
yregion = floor(N/5):floor(4*N/5);
weight4(yregion, xregion) = 1;
% change the zero-weighted region to noise only
psi4 = randn(size(psi));
psi4(yregion, xregion) = psi(yregion, xregion);
% now unwrap
acb = tic;
phi4 = phase_unwrap(psi4, weight4);
disp(sprintf('Weighted phase unwrap of a %dx%d image takes %f seconds', N, N, toc(acb)));
% show the images
figure;
subplot(2,2,1);
imagesc(phi); title('Original phase');
subplot(2,2,2);
imagesc(psi4); title('Wrapped phase with noise');
subplot(2,2,3);
imagesc(weight4); title('Weight');
subplot(2,2,4);
imagesc(phi4); title('Unwrapped phase');
⛄ 运行结果
⛄ 参考文献
[1]朱勇建, 刘立人, 栾竹,等. 相位解包裹算法中基于调制度的新质量图[J]. 中国激光, 2006.
