Different approaches to the construction of digital nonlinear filters that operate by use of local image properties are offered. Structures of nonlinear filters with variable nonlinear-component weight and parametric adaptation are considered. The effectiveness of the proposed methods of filtering is illustrated by the examples of the additive Gaussian and impulse noise suppression.

The article considers the nonclassical quaternions and pentanions of helf-rotations of solid body and their application in problems of control and orientation of moving objects. In contrast to classical rationed Hamiltonian quaternions of complete rotations the nonclassical quaternions of helf-rotations may be null, they have variable rates, depending on the angle of Euler finite rotation.

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