At present, the filter theory of $BL$textit{-}algebras has been widelystudied, and some important results have been published (see for examplecite{4}, cite{5}, cite{xi}, cite{6}, cite{7}). In other works such ascite{BP}, cite{vii}, cite{xiii}, cite{xvi} a study of a filter theory inthe more general setting of residuated lattices is done, generalizing thatfor $BL$textit{-}algebras. Note that fil...

Digital filters are commonly used as an essential element of everyday electronics such as radios, cell phones, and stereo receivers. Digital filters may be more expensive than an equivalent analog filter due to their increased complexity, but they may lead to many designs which are impractical or impossible as analog filters. Basically there are two types of digital filters, which are FIR (Fini...

Estimation of binocular disparity in vision systems is typically based on a matching pipeline and rectification. Estimation of disparity in the brain, in contrast, is widely assumed to be based on the comparison of local phase information from binocular receptive fields. The classic binocular energy model shows that this requires the presence of local quadrature pairs within the eye which show ...

This paper proposes a new design of a computationally efficient FIR filters with wide passband and sharp transition, where generalized sampling kernels are introduced and utilized along with the IFIR filter structure. In particular, the proposed filter design approach provides a closed-form solution for filter coefficients, yielding a practical design procedure for linear-phase sharp FIR digita...

Differential motion estimation is based on detecting brightness changes in local image structures. Filters approximating the local gradient are applied to the image sequence for this purpose. Whereas previous approaches focus on the reduction of the systematical approximation error of filters and motion models, the method presented in this paper is based on the statistical characteristics of th...