3 citations · 4 across the 5 of their papers we have counts for
6 papers
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…
Corrected approximation strategy for piecewise smooth bivariate functions
Sergio Amat, David Levin, Juan Ruiz-Álvarez
Given values of a piecewise smooth function on a square grid within a domain , we look for a piecewise adaptive approximation to . Standard approximation techniques achie…
On a regularization-correction approach for the approximation of piecewise smooth functions
Sergio Amat, David Levin, Juan Ruiz-Álvarez
Linear approximation approaches suffer from Gibbs oscillations when approximating functions with singularities. ENO-SR resolution is a local approach avoiding oscillations and with…
Reconstruction of piecewise-smooth multivariate functions from Fourier data
David Levin
In some applications, one is interested in reconstructing a function from its Fourier series coefficients. The problem is that the Fourier series is slowly convergent if the fu…
Attractors of Trees of Maps and of Sequences of Maps between Spaces with Application to Subdivision
Nira Dyn, David Levin, Peter Massopust
In a previous paper we considered a sequence of maps on a complete metric space and derived an extension of the Banach fixed point theorem. We showed that backward trajecto…