An algorithm for adaptive image filtering with the use of a pyramidal repre
sentation of the initial image is presented. Each level of the pyramid can
be adopted without change or may be subjected to processing, depending on h
ow noisy it is. A method of processing the levels is chosen with considerat
ion of the type of environment - boundary, near-boundary, and homogeneous.
The idea of adaptation extends to all levels of the pyramid, making this al
gorithm suitable for suppression of both high- and low-frequency noise and
distortion. The results of an experimental study of the quality of filterin
g of test images by the proposed algorithm and its classical adaptive analo
gs are presented. Adaptive pyramidal filtering enjoys an advantage over the
best classical algorithms and, unlike them, it does not require sensitive
iterations in order to achieve the best result. (C) 2000 The Optical Societ
y of America. [S1070-9762(00)00410-3].