A general scheme for constructing inversion algorithms for cone beam CT.
A method of inversion of the Laplace transform
A multi-dimensional Hausdorff moment problems regularization by finite moments.
A new version of the fast Gauss transform.
About calculation of the Hankel transform using preliminary wavelet transform.
An Algorithm for the Hausdorff Moment Problem.
An X-ray transform estimate in Rn.
We prove an x-ray estimate in general dimension which is a stronger version of Wolff's Kakeya estimate [12]. This generalizes the estimate in [13], which dealt with the n = 3 case.
Approximation of the Hilbert transform via use of sinc convolution.
Are linear algorithms always good for linear problems?
Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals.
Bessel Transforms and Rational Extrapolation.
Computing discrete convolutions with verified accuracy via Banach algebras and the FFT
We introduce a method to compute rigorous component-wise enclosures of discrete convolutions using the fast Fourier transform, the properties of Banach algebras, and interval arithmetic. The purpose of this new approach is to improve the implementation and the applicability of computer-assisted proofs performed in weighed Banach algebras of Fourier/Chebyshev sequences, whose norms are known to be numerically unstable. We introduce some application examples, in particular a rigorous aposteriori...
Convolution Quadrature and Discretized Operational Calculus. I.
Direct solution of nonlinear constrained quadratic optimal control problems using B-spline functions
In this paper, a new numerical method for solving the nonlinear constrained optimal control with quadratic performance index is presented. The method is based upon B-spline functions. The properties of B-spline functions are presented. The operational matrix of derivative () and integration matrix () are introduced. These matrices are utilized to reduce the solution of nonlinear constrained quadratic optimal control to the solution of nonlinear programming one to which existing well-developed...
Fast multilevel evaluation of smooth radial basis function expansions.
Fourier method for Laplace transform inversion.
Fourier Reconstruction in Tomography.
Incomplete Data problems in X-Ray Computerized Tomography. II. Truncated Projections and Region-of-Interest Tomography.
Incomplete Data Problems in X-Ray Computerized Tomography. I. Singular Value Decomposition of the Limited Angle Transform.
Integral Equations with Transform Kernels and the Eigenproblem KCx = ...x.