Both
cross-correlation and convolution filters have the following
properties
linear:
how
about scale? Is the following
true?
shift-invariant: same operation applied for every x,y in f
Any
filter with these properties (LSI) may be written as a cross-correlation
Is
this also true for convolution?
Convolution has nice properties in the Fourier Domain
we
wont cover this, but see Forsyth Chap. 8.3 for a nice discussion