One-sided band-limited approximations of some radial functions

One-sided Band-limited Approximations of Some Radial Functions

We construct majorants and minorants of a Gaussian function in Euclidean space that have Fourier transforms supported in a box. The majorants that we construct are shown to be extremal and our minorants are shown to be asymptotically extremal as the sides of the box become uniformly large. We then adapt the Distribution and Gaussian Subordination methods of [12] to the multidimensional setting ...

Band-limited Functions: / / -convergence

ODE solvers using band-limited approximations

Abstract. We use generalized Gaussian quadratures for exponentials to develop a new ODE solver. Nodes and weights of these quadratures are computed for a given bandlimit c and user selected accuracy ǫ, so that they integrate functions e, for all |b| ≤ c, with accuracy ǫ. Nodes of these quadratures do not concentrate excessively near the end points of an interval as those of the standard, polyno...

One-Sided Approximation of Functions

where :Yl denotes the orthogonal complement of Y (see [I]). Another example of this type of duality appears in one of the classical moment problems. Letfbe Bore1 measurable and bounded on [a,b], h,, . . ., h, a CebySev system on [a,b] and for a given positive Bore1 measure yO defined on [a,b] denote by C (y,,) the class of all positive Bore1 measures y which satisfy f.bhkdy=[hkdyo k= 1,2 ,..., ...

One-sided Radial-Fundamental Matrix Estimation

José Henrique Brito12 [email protected] Christopher Zach4 [email protected] Kevin Köser3 [email protected] Manuel João Ferreira2 [email protected] Marc Pollefeys3 [email protected] 1 Instituto Politécnico do Cávado e do Ave Barcelos, Portugal 2 Universidade do Minho Guimarães, Portugal 3 Computer Vision and Geometry Group ETH Zurich, Switzerland 4 Machine Learning and Perc...