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calculating the provide integral

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Poorya
Poorya 2023-10-11
编辑： Matt J 2023-10-11
hello all. I want to calculate this integral. this formula is for image registration, but for practice, I work with 1D signla.I have I1 and I2 and u(x). I1 and I2 are a 3000*1 matrices. I meshed 1d signal and divided into the 600 element. I am wondering how I should calculate this integral. thank you.
  2 个评论
Matt J
Matt J 2023-10-11
Is there any reason you are pursuing your own implementation, as opposed to using imregister()?
Walter Roberson
Walter Roberson 2023-10-11
When I look at that integral, it looks to me as if I1 and I2 are intended to be functions, not matrices.
If they are matrices then we have to ask whether x is a scalar or a matrix, and whether u(x) is a scalar or a matrix, so that we can tell if is an element-by-element multiplication or a matrix multiplication.

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回答（1 个）

Matt J
Matt J 2023-10-11
编辑：Matt J 2023-10-11
A common approach is to discretize the integral and instead compute sum of squared differences (SSD), e.g.,
SSD=norm( interp1(x,I2,x+u,'cubic',0) -I1).^2/2

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