Recently added articles from Sampling Theory in Signal and Image Processing:
A memorial tribute to Isao Someya, 1915-2007.(In memoriam)
Sep 01, 2008 ... Dr. Isao Someya, one of the inventors of the sampling theorem, died of an acute respiratory failure on 31 December 2007 in Tokyo at the age of 92 years and 9 months. Isao Someya was born in Saitama Prefecture outside Tokyo on March 23, 1915. He received a B.E. degree in ...
An analysis of the fan beam CT reconstruction kernel.
Sep 01, 2008; ... Abstract An analysis of the integral kernels for two well-known fan beam CT reconstruction algorithms has been performed. It was found that the kernel for the standard O([[OMEGA].sup.4]) fan beam tomography reconstruction has an essential bandregion larger than prior numerical ...
Error of sinc approximation of analytic functions on an interval.
Sep 01, 2008; ... Abstract If f is an analytic function on the circle [K.sub.[epsilon] = {z: [absolute value of z - [pi]/2] < [pi]/2 + [epsilon]} that is continuous on [[bar.K].sub.[epsilon]], then there exists [n.sub.[epsilon]] [member of] N such that for any n > [n.sub.[epsilon]] and x [member ...
The homogeneous approximation property and the comparison theorem for coherent frames.
Sep 01, 2008; ... Abstract We show that the homogeneous approximation property and the comparison theorem hold for arbitrary coherent frames. This observation answers some questions about the density of frames that are not covered by the theory of Balan, Casazza, Heil, and Landau. The proofs are ...
Approximation of bandlimited functions on a non-compact manifold by bandlimited functions on compact submanifolds.
Sep 01, 2008; ... Abstract Although interesting results about sampling theory on manifolds have recently been obtained, there are still many results from classical sampling theory on the real line which have yet to be extended to this more general situation. Such generalized results would be of ...
Computing eigenvalues of boundary-value problems using sinc-Gaussian method.
Sep 01, 2008; ... Abstract In this paper we compute the eigenvalues of second order Birkhoff-regular eigenvalue problems using the sinc-Gaussian method established by Qian (2002). The error of this method decays exponentially in terms of the number of involved samples. Therefore the accuracy of ...
Sampling formulae and optimal factorizations of projections.
Sep 01, 2008; ... Abstract Let H be a Hilbert space, W a closed subspace of H, and Q a (linear bounded) projection from H onto W with null space [M.sup.[perpendicular to]]. We study decompositions like Q f = [[summation].sub.n[member of]N] < f, [h.sub.n]) [f.sub.n] where [{[f.sub.n]}.sub.n[member ...