Linear shift-invariant filters
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 won’t cover this, but see Forsyth Chap. 8.3 for a nice
discussion