How is streamline function is implemented in MATLAB?!

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Hello everyone,
I post a question some times ago, I am still searching about it. I found a function that does exactly what I want! However it is a MATLAB built in function and I need to know how it works?! It draws curved lines in th direction of the gradient! I want to do the same.
I have an image, I want to take it's gradient and draw the same lines for the gradient vectors! Just like the following image.
This produces an amazing result for my problem. How these lines are generated? I need the data points of these lines not only just drawing them!
Anyone has any clue how the lines are derived?! Or how can I do the same?!
Any idea how streamline finds these curved smooth lines?
Thanks a lot.
  1 Comment
Nick Earnhardt
Nick Earnhardt on 29 May 2015
Dear Joseph,
Thanks a lot for your help, as you said the Euler Integration aka Forward Euler Prediction, is the solution.
And my problem is already solved! It wasn't hard to implement it at all!
Thanks a lot for your help.

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Accepted Answer

Joseph Cheng
Joseph Cheng on 28 May 2015
Well how to generate the lines will take a bit of thought but to get the lines
[x,y] = meshgrid(0:0.1:1,0:0.1:1);
u = x;
v = -y;
startx = 0.1:0.1:1;
starty = ones(size(startx));
hstream = streamline(x,y,u,v,startx,starty);
Xdata = get(hstream,'Xdata');
Ydata = get(hstream,'Ydata');
hold on
for ind =1:length(Xdata);
Nick Earnhardt
Nick Earnhardt on 29 May 2015
Dear Joseph,
Thanks for the clue.
I downloaded the PDF now, I'll have a look today.
Thanks a lot.

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