04/18/2002
15-462 Graphics I
10
Linear and Shift-Invariant Filters
•
Linear
with respect to input signal
•
Shift-invariant
with respect to parameter
•
Convolution in 1D
–
a(t) is input signal
–
b(s) is output signal
–
h(u) is filter
–
Shorthand: b = a
h
( = h
a, as an aside)
•
Convolution in 2D