| 摘要 |
Multiple filters of a bilateral filter are decoupled to form into multple linear filtering operations, which permits faster processing. The bilateral filter is re-presented as an approximate bilateral filter, and subjected to a logarithm whose resultant components are further subjected to a series of Jensen approximations. The errors resulting from each Jensen approximation are collected into a single cumulative error factor, and it is then shown that the cumulative error may be ignored without adversed affect to the result. Thus, the original bilateral filter may be implemented as log(y0)=log(2−&Sgr;gjKj)+log(&Sgr;Kjfj)+log(&Sgr;Kjgj).
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