Comments (5)
I think I miss understand...
from optical-flow-filter.
Hi, did you solve the issue yourself?
from optical-flow-filter.
Not really ...
I have closed it because I traced the code and found that it just implements equation (17), so the equation in your paper must be right.
I think ^h\Delta\Phi
should be ^h\Phi
because:
in equation (12) is exactly same as brightness constancy constraint on wiki:
but equation (17) do not use the full flow... so I can't understand the equation.
If you can explain it to me, I will be super thankful.
Thanks for your help!
from optical-flow-filter.
The shape of Eq. (17) has to do with the filtering nature of the algorithm and the pyramidal structure. I will use Fig. (2) for my explanation.
The simplest filter loop (Fig 2.a) is at top level H-1. There, the full optical flow is predicted (Eq. 8) and estimated (Eq. 12), and the estimation equation is indeed the brightness constancy constraint plus a regularization term.
At lower pyramid levels (Fig 2.b), the first step is to compute the full flow for level h
. This ^h\Phi^k
is used to predict the values of the image and delta flow
before the new measurements at time
k+1
arrive. Notice that is not the image at previous time step, but something closer to
. Under the brightness constancy constraint, any difference between the image at time k+1 and
can be attributed to some small displacement
which is what we want to calculate in the estimation stage (Eq 17).
I hope this helps.
from optical-flow-filter.
I'm closing this issue now.
from optical-flow-filter.
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