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The image flow vector V=[
d
x,
d
y] maps intensity neighborhood N1
of (x,y) at t1 to an identical neighborhood N2 of (x+
d
x,y+
d
y) at t2,
which yields:
Combining we get the image flow equation
Image Flow Equation
Using the continuity of the intensity function and Taylor series we get:
which gives not a solution but a linear constraint on the flow.