Coming back from gradient using circshift for image processing

Hello everyone,

I would like to ask your help.

This is the question:

If I use circhshift for getting the Gradient between neighboring pixels in Y direction, can I calculate image back, having this gradient information?

Afer using the fourier transform and implementing other functions I got a complex field of an image.

Then the code calculates the shift of my image along the y-direction. In the end it operates the ratio of the first image on the shifted image for getting the phase angle:

C = complex field of the image

C2 = circshift(C, [0,4]);

ph = angle(C./C2);

The question is: how can I come back from circshift (gradient) to a quantitative information?

Hope that my question was clear enough.

Thank you very much.

LB

Answer 1

[Matt J]

No, you cannot. Any constant image, for example, has the same "gradient", so the process cannot be invertible.

[laura bagnale]

Thank you very much for your reply, Matt J.