- #1
anja.ende
- 5
- 0
Hello,
This is my first post and I must emphasise that I do not have a science/maths training background and this might be a very basic question. I apologise if it is too basic to belong here.
I have a function defined as follows:
E(I,J) = [itex]\int CC_{p}(I,J)dp[/itex]
Just a little context, I am trying to do some image processing and E is some energy function (based on two images I and J) that needs to be maximised. CC is the cross correlation in an image neighbourhood p and the total energy is given by the summing up these local contributions.
Anyway, to maximise this function with respect to some variable 'v', I need to compute the derivative [itex]\frac{\partial E}{\partial v}[/itex]
My question is can I use the fundamental theorem of calculus and say that
[itex]\frac{\partial E}{\partial v} = \frac{\partial CC_{p}}{\partial v}[/itex]
I get a bit confused about this. I would really appreciate your help.
Thanks,
Anja
This is my first post and I must emphasise that I do not have a science/maths training background and this might be a very basic question. I apologise if it is too basic to belong here.
I have a function defined as follows:
E(I,J) = [itex]\int CC_{p}(I,J)dp[/itex]
Just a little context, I am trying to do some image processing and E is some energy function (based on two images I and J) that needs to be maximised. CC is the cross correlation in an image neighbourhood p and the total energy is given by the summing up these local contributions.
Anyway, to maximise this function with respect to some variable 'v', I need to compute the derivative [itex]\frac{\partial E}{\partial v}[/itex]
My question is can I use the fundamental theorem of calculus and say that
[itex]\frac{\partial E}{\partial v} = \frac{\partial CC_{p}}{\partial v}[/itex]
I get a bit confused about this. I would really appreciate your help.
Thanks,
Anja