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Tuesday, November 29, 2011

A quick divergence to the cutest Laplacian in the world.

Let u=(u1,u2) be a vector valued function. Then the divergence operator: div u:=du1dx+du2dx is a very useful thing to have on our side. Again, I will leave this little code upto you. It is really a one liner!

Note, that if u=(ux,uy) then div(u) gives the Laplacian Δu of the image u. This could be useful.

Here is the Laplacian of Boo displayed between -50 to 50.
i.e. use the commands to display the Laplacian d :
>> m=-50; M=50; figure; imshow((d-m)/(M-m));

Laplacian of Boo (-50 to 50)


Here is the original.

Boo, the cutest dog in the world

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