24 citations · 52 across the 14 of their papers we have counts for
16 papers
Non-linear WENO B-spline based approximation method
Sergio Amat, David Levin, Juan Ruiz-Álvarez +1
In this work we present a new WENO b-spline based quasi-interpolation algorithm. The novelty of this construction resides in the application of the WENO weights to the b-spline fun…
Interpolation of Set-Valued Functions
Qusay Muzaffar, Nira Dyn, David Levin
Given a finite number of samples of a continuous set-valued function F, mapping an interval to compact subsets of the real line, we develop good approximations of F, which can be c…
Global and explicit approximation of piecewise smooth 2D functions from cell-average data
Sergio Amat, David Levin, Juan Ruiz-Alvarez +1
Given cell-average data values of a piecewise smooth bivariate function within a domain , we look for a piecewise adaptive approximation to . We are interested in an expl…
Explicit multivariate approximations from cell-average data
Sergio Amat, David Levin, Juan Ruiz-Alvarez +1
Given gridded cell-average data of a smooth multivariate function, we present a constructive explicit procedure for generating a high-order global approximation of the function. On…
Manifold Repairing, Reconstruction and Denoising from Scattered Data in High-Dimension
Shira Faigenbaum-Golovin, David Levin
We consider a problem of great practical interest: the repairing and recovery of a low-dimensional manifold embedded in high-dimensional space from noisy scattered data. Suppose th…
Approximation of Functions on Manifolds in High Dimension from Noisy Scattered Data
Shira Faigenbaum-Golovin, David Levin
In this paper, we consider the fundamental problem of approximation of functions on a low-dimensional manifold embedded in a high-dimensional space, with noise affecting both in th…