
4
Filters, K ernels an d Fields
This chapter is somewha t of a catch-all, intended mainly to consolidate and
extend material presented in the preceding chapters and to help lay the foun-
dation for the rest of the book. In Sections 4.1 and 4.2, building on the
discrete Fourier transform introduced in Chapter 3, the concept of discrete
convolution is introduced and filtering, both in the spatial and in the fre-
quency domain, is discussed. Frequent reference to filtering will be made in
Chapter 5 when we trea t enhancement and geometric and radiometric correc-
tion of multisp ectral and SAR imagery. In Section 4.3 it is shown that the
discrete wavelet