Table of Contents

Linear filtering

Convolution theorem

<m>F{f*g} = F{f}·F{g}</m>

Convolution in 2D

method accuracy kernel complexity
Fourier transform exact arbitrarily <m>O(F · logF)</m>
Separable kernel exact limited <m>O(F · pG) </m>
Integral image high limited <m>O(F) </m>
Mip-mapping low arbitrarily <m>O(F) </m>