in this paper a particular case of z-ideals, called strongly z-ideal, is defined by introducing zero sets in pointfree topology. we study strongly z-ideals, their relation with z-ideals and the role of spatiality in this relation. for strongly z-ideals, we analyze prime ideals using the concept of zero sets. moreover, it is proven that the intersection of all zero sets of a prime ideal of c(l),...

I approximate the inverse Hessian (L′L)−1, where L is a Born modeling operator and L′ is the corresponding adjoint RTM operator, with non-stationary matching filters. These non-stationary filters can be seen as a low-rank approximation of the true inverse Hessian. For 3D least-squares imaging, I use these matching filters to precondition the inversion of prestack seismic data and observe a sign...

I approximate the inverse Hessian (L′L)−1, where L is a Born modeling operator and L′ is the corresponding adjoint RTM operator, with non-stationary matching filters. These non-stationary filters can be seen as a low-rank approximation of the true inverse Hessian. For 3D least-squares imaging, I use these matching filters to precondition the inversion of prestack seismic data and observe a sign...

Lattice-valued semiuniform convergence structures are important mathematical in the theory of lattice-valued topology. Choosing a complete residuated lattice $L$ as background, we introduce new type filters using tensor and implication operations on $L$, which is called $\top$-filters. By means $\top$-filters, propose concept $\top$-semiuniform counterpart structures. Different from usual discu...

Image compression via adaptive perfect reconstruction filter banks is studied. AnM -channel filter bank is employed in a lifting scheme using MSE-adaptive predictors. FFT-ordered L-filters are used for prediction. L-filters include a class of linear and nonlinear filters. A switching between three different filters is made for applyingdifferent filters over smooth regions, around edges and over...

This paper provides a new explicit expression for all real FIR paraunitary filters. From this we derive a new procedure for the design of the L components of any 2-channel FIR orthogonal L-tap filter. The input of this algorithm is any set of L/2 free parameters. Moreover, our procedure provides a parameterization of all orthogonal filters directly, with no need for iterations. For the special ...

A novel class of nonlinear adaptive L-filters based on cellular neural networks topology is presented. Like cellular neural systems and cellular automata as well, processing nodes, called cells, communicate with each other directly only through its nearest neighbors exchanging information. Each cell is an adaptive LMS L-filter. The proposed filters share the best features of both adaptive filte...