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⛄ 内容介绍
A novel approach for two-dimensional phase unwrapping is presented. Reliability functions with fixed value range are defined for pixels and edges. Through histogram statistics for reliability values of edges, all edges are allocated to the corresponding subintervals of histogram. The proposed algorithm unwraps the phase subinterval by subinterval and for each subinterval edge by edge. A number of simulated and experimental results show that the proposed algorithm reacts satisfactorily to random noise and discontinuities in the wrapped phase distribution. The execution time of this algorithm is less than 60 ms for an image size of 800x800 pixels on a PC system generally. So this algorithm can achieve quasi-real-time performance.
⛄ 部分代码
fprintf('***************************************\n');
fprintf('2D Phase Unwrapping Demo\n');
fprintf('Please select the demo:\n');
fprintf('(1) No noise , no ignored region\n');
fprintf(' 2. With noise, no ignored region\n');
fprintf(' 3. No noise , with ignored region\n');
fprintf(' 4. With noise, with ignored region\n');
while (1)
user_input = input('Your selection (1-4): ', 's');
user_input = strip(user_input);
% if the user does not supply anything, select the default
if strcmp(user_input, '')
fprintf('Demo 1 is selected\n');
user_input = '1';
end
if length(user_input) == 1 && sum(user_input == '1234') == 1
break;
else
fprintf('Invalid input\n');
end
end
[X, Y] = meshgrid(linspace(-1, 1, 512) * 5);
img = -(X.*X + Y.*Y);
fprintf('Image size: %dx%d pixels\n', size(img,1), size(img,2));
% add noise
if any(user_input == '24')
img = img + randn(size(X)) * 0.5;
end
% add an ignored region
if any(user_input == '34')
img(end/4:3*end/4,end/4:3*end/4) = nan;
end
% wrap the image
wimg = wrapTo2Pi(img);
tic;
unwrap_img = unwrap_phase(wimg);
toc;
subplot(221);
pcolor(img);
shading flat;
set(gca, 'ydir', 'reverse');
title('Original phase');
subplot(222);
pcolor(wimg);
shading flat;
set(gca, 'ydir', 'reverse');
title('Wrapped phase');
subplot(223);
pcolor(unwrap_img);
shading flat;
set(gca, 'ydir', 'reverse');
title('Unwrapped phase');
subplot(224);
pcolor(wrapTo2Pi(unwrap_img));
shading flat;
set(gca, 'ydir', 'reverse');
title('Rewrap of unwrapped phase');
⛄ 运行结果
⛄ 参考文献
[1] Wang F , Zeng Y N , Lei H , et al. Fast Two-Dimensional Phase Unwrapping Algorithm Based on Histogram Processing of Reliability[J]. Icmt.ulsan.ac.kr.
