The 2-D Discrete Wavelet Transform (DWT) suits image processing applications well, allowing for excellent compression. Many architectures have been proposed to perform the 1, 2 and 3-D DWT, but few address the precision necessary to ensure perfect reconstruction. The goal of this work is to experimentally determine the precision needed to store the results of a 2-D DWT without introducing round...

Background: Pseudomonas aeruginosa has an important role in nosocomial infections. Objective: To evaluate biological activity of the detoxified LPS (D-LPS) entrapped into Poly lactic-co-glycolic acid (PLGA) nanoparticles. Materials: LPS was extracted and detoxified from the P. aeruginosa strain PAO1. The D-LPS, conjugated to t...

This paper describes a head-neck-eye camera system that is capable of learning to saccade to 3-D targets in a self-organized fashion. The self-organized learning process is based on action perception cycles where the camera system performs micro saccades about a given head-neck-eye camera position and learns to map these micro saccades to changes in position of a 3-D target currently in view of...

—We propose an image denoising method that exploits nonlocal image modeling, principal component analysis (PCA), and local shape-adaptive anisotropic estimation. The nonlocal modeling is exploited by grouping similar image patches in 3-D groups. The denoising is performed by shrinkage of the spectrum of a 3-D transform applied on such groups. The effectiveness of the shrinkage depends on the ab...

Well-separated pair decomposition (WSPD) is a well known geometric used for encoding distances, introduced in seminal paper by Paul B. Callahan and S. Rao Kosaraju 1995. WSPD compresses O(n2) pairwise distances of n given points from Rd O(n) space fixed dimension d. However, the main problem with this remarkable “hidden” dependence on d, which practice does not allow computation any d>2 or d...

A volume limited and absolute magnitude limited sample of A-F type dwarfs, observed by Hipparcos, within 125 parsecs of the sun is searched for in-homogeneities in the phase space, expecting some signatures of the cluster melting and phase mixing mechanisms. The cubes of position and velocity data are analyzed using the discrete wavelet transform implemented by the \\ a trou" algorithm. Sig-nii...

An analogue of the Fourier transform is developed for D-algebras. G. Laumon’s equivalence between the derived category of D-modules on an abelian variety and the derived category of O-modules on the universal extension of the dual variety is seen as a degenerate case of a duality for twisted differential operators (tdo’s) with respect to which the dual of a generic tdo is again a tdo.

This paper presents an innovative way of using the two-dimensional (2-D) Fourier transform for speech enhancement. The blocking and windowing of the speech data for the 2-D Fourier transform are explained in detail. Several techniques of filtering in the 2-D Fourier transform domain are also proposed. They include magnitude spectral subtraction, 2-D Wiener filtering as well as a hybrid filter w...

The extensive use of discrete transforms such as the Discrete Cosine Transform in image and video coding suggests the investigation on ltering before down sampling (FBDS) and ltering after up sampling (FAUS) methods directly acting on the transform domain [1, 2]. On the other hand, Transform Domain Filtering (TDF) was recently introduced as an important tool for implementing linear ltering and ...

Ultra-wideband pulse radars are promising candidates for 3-dimensional environment measurements by autonomous robots. Estimating 3-dimensional target shapes by scanning with an omni-directional antenna is an ill-posed inverse problem. Conventional algorithms such as the synthetic aperture method or parametric algorithms have a problem in terms of their calculation times. We have clarified the e...