Restoration of digital images from their degraded measurements has always been a problem of great theoretical and practical importance in numerous applications of imaging sciences. A specific solution to the problem of image restoration is generally determined by the nature of degradation phenomenon as well as by the statistical properties of measurement noises. The present study is concerned w...

We describe the domino Schensted algorithm of Barbasch, Vogan, Garfinkle and van Leeuwen. We place this algorithm in the context of Haiman’s mixed and leftright insertion algorithms and extend it to colored words. It follows easily from this description that total color of a colored word maps to the sum of the spins of a pair of 2-ribbon tableaux. Various other properties of this algorithm are ...

Littlewood Richardson coefficients are structure constants appearing in the representation theory of the general linear groups (GLn). The main results of this paper are: 1. A strongly polynomial randomized approximation scheme for Littlewood-Richardson coefficients corresponding to indices sufficiently far from the boundary of the Littlewood Richardson cone. 2. A proof of approximate log-concav...

A novel computational reconstruction method called the Lucy–Richardson–Rosen algorithm (LRRA) for construction of a single-shot infrared 3D imaging microscope was reported in Opto-Electronic Science. In that study, commonly available optical element, Cassegrain objective lens, used as coded aperture using LRRA. Unlike regular systems, achieving devices leads to development hybr...

In this article, mixed convection heat transfer of alumina-water nanofluid in an inclined and baffled C-shape enclosure is studied. It is assumed that the flow is laminar and steady. There is no energy production, energy storage and viscous heat dissipation. Furthermore, the nanofluid is considered as a continuous, Newtonian and incompressible fluid. Governing equations are discretized by finit...

We study the T−equivariant quantum cohomology of the Grassmannian. We prove the vanishing of a certain class of equivariant quantum Littlewood-Richardson coefficients, which implies an equivariant quantum Pieri rule. As in the equivariant case, this implies an algorithm to compute the equivariant quantum Littlewood-Richardson coefficients.

Abstract Considering the classical definition of the Littlewood-Richardson rule and its 2-dimensional representation by means of rectangular tableaux, we exhibit 24 symmetries of this rule when considering dualization, conjugation and their composition. Extending the Littlewood-Richardson rule to sequences of nonnegative real numbers, six of these symmetries may be generalized. Our point is to ...

Confocal laser scanning microscopy is a powerful and increasingly popular technique for 3D imaging of biological specimens. However the acquired images are degraded by blur from out-of-focus light and Poisson noise due to photon-limited detection. Several deconvolution methods have been proposed to reduce these degradations, including the Richardson-Lucy iterative algorithm, which computes a ma...

A Fourier analysis is conducted for the discrete-ordinates (SN) approximation of the neutron transport problem solved with Richardson iteration (Source Iteration) and Richardson iteration preconditioned with Transport Synthetic Acceleration (TSA), using the Parallel Block-Jacobi (PBJ) algorithm. Both “traditional” TSA (TTSA) and a “modified” TSA (MTSA), in which only the scattering in the low o...