03/18/2003
15-462 Graphics I
19
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