How to calculate the inverse of two dimensional transformation

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Muhammad
Muhammad 2013-9-4
Hi Recipient,
I am working on two dimensional image registration. I have a transformation \phi which has two components stored into two separate matrices. The standard way to represent the action of \phi on image 'I' is \phi.I=I(\phi^{-1}(x)). I want to know how to calculate \phi^{-1}. Suppose x1 and x2 are two components of \phi. If I use A=interp2(x1,x2,I,y1,y2) then its mean that I am calculating I(\phi(x)) but I want to calculate I(\phi^{-1}(x)). Could anyone help me in this regard.

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Matt J
Matt J 2013-9-4
编辑：Matt J 2013-9-4
Suppose x1 and x2 are two components of \phi. If I use A=interp2(x1,x2,I,y1,y2) then its mean that I am calculating I(\phi(x))
No, you would be calculating I(phi(x)) if the y_i are given by y=phi(x).
If you want I(phi^-1(x)) you would generate the y data instead according to y=phi^-1(x).
If you have the Image Processing Toolbox, you might be able do this more compactly using tforminv() and imtransform().

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