zero crossing
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I convolved my image with laplavian and now i want to use zero crossing . What is a concept of zero crossing in image processing .How can i apply it in MATLAB on laplacian convoled images ? Please help me, thanks.
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Matt Fig
2011 年 5 月 30 日
x = 0:.01:2*pi;
f = @(x) sin(x).*cos(x); % A randomly chosen function.
% Next find the zero crossings of f(x)...
rt = [fzero(f,0),fzero(f,1.5),fzero(f,3),fzero(f,5),fzero(f,6.5)];
plot(x,f(x),'b',rt,zeros(size(rt)),'or','markers',8,'markerfacec','r')
title('The zero crossings of sin(x)*cos(x)','fonts',14,'fontw','bold')
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David Young
2011 年 5 月 30 日
In the context of images, the classic reference is the book "Vision" by David Marr, in which the idea of zero-crossings is heavily exploited in his theory (now, I think, largely superseded) of early visual processing in animals. Any reasonable academic library should have a copy of this seminal text.
Images do not have zero-crossings; however if you convolve an image with a differencing operator such as a Laplacian of Gaussian (or Difference of Gaussians) the result will usually have zero-crossings. These are simply the zero-level contours between positive and negative regions of the array; their positions may be estimated in a discrete array by interpolation, or crudely approximated by finding pixels which have an opposite-sign neighbour.
If you have the Image Processing Toolbox, then the 'log' option of the edge function incorporates an implementation of zero-crossing detection.
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Walter Roberson
2011 年 5 月 30 日
As you mention images: possibly what is intended is that you find the phase of the image at each location by using fft2(). I am, though, a bit fuzzy as to how you would use that to determine zero crossings, as in most cases images would have many many zero crossings.
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