Multilevel Approach For Signal Restoration Problems With Toeplitz Matrices

We present a multilevel method for discrete ill-posed problems arising from the discretization of Fredholm integral equations of the first kind. In this method, we use the Haar wavelet transform to define restriction and prolongation operators within a multigrid-type iteration. The choice of the Haar wavelet operator has the advantage of preserving matrix structure, such as Toeplitz, between grids, which can be exploited to obtain faster solvers on each level where an edge-preserving Tikhonov regularization is applied. Finally, we present results that indicate the promise of this approach for restoration of signals and images with edges

Descripción de Speleotyphlus fadriquei sp. n., con revisión del género (Coleoptera, Carabidae)

A new species, Speleotyphlus fadriquei n. sp. (Bembidiinae, Anillini), from Catalonia (Ribera d'Ebre, Tarragona), is described. The matherial was collectes to 20 m of depth in the cavity "Avenc de la Llamborda ", located in "La Serra d'Almos, Tivissa", during the years 1994 and 1995. It is completed with the review of the genus Speleotyphlus Jeanne, 1973, with specific key and geographical distribution. Speleotyphlus fadriquei n. sp. differs from Speleotyphlus aurouxi in the microsculpture of the boby and from Speleotyphlus jusrneti in the conformation of the body and the aedeagus. Key words: Coleoptera, Carabidae, Bembidiinae, Anillini, Speleotyphlus revision, S. fadriquei n. sp.A new species, Speleotyphlus fadriquei n. sp. (Bembidiinae, Anillini), from Catalonia (Ribera d'Ebre, Tarragona), is described. The matherial was collectes to 20 m of depth in the cavity "Avenc de la Llamborda ", located in "La Serra d'Almos, Tivissa", during the years 1994 and 1995. It is completed with the review of the genus Speleotyphlus Jeanne, 1973, with specific key and geographical distribution. Speleotyphlus fadriquei n. sp. differs from Speleotyphlus aurouxi in the microsculpture of the boby and from Speleotyphlus jusrneti in the conformation of the body and the aedeagus. Key words: Coleoptera, Carabidae, Bembidiinae, Anillini, Speleotyphlus revision, S. fadriquei n. sp.A new species, Speleotyphlus fadriquei n. sp. (Bembidiinae, Anillini), from Catalonia (Ribera d'Ebre, Tarragona), is described. The matherial was collectes to 20 m of depth in the cavity "Avenc de la Llamborda ", located in "La Serra d'Almos, Tivissa", during the years 1994 and 1995. It is completed with the review of the genus Speleotyphlus Jeanne, 1973, with specific key and geographical distribution. Speleotyphlus fadriquei n. sp. differs from Speleotyphlus aurouxi in the microsculpture of the boby and from Speleotyphlus jusrneti in the conformation of the body and the aedeagus. Key words: Coleoptera, Carabidae, Bembidiinae, Anillini, Speleotyphlus revision, S. fadriquei n. sp