66 citations · 81 across the 11 of their papers we have counts for
4 papers · 1 filter
Super-resolution of positive near-colliding point sources
Ping Liu, Habib Ammari
In this paper, we analyze the capacity of super-resolution of one-dimensional positive sources. In particular, we consider the same setting as in [arXiv:1904.09186v2 [math.NA]] and…
Nearly optimal resolution estimate for the two-dimensional super-resolution and a new algorithm for direction of arrival estimation with uniform rectangular array
Ping Liu, Habib Ammari
In this paper, we develop a new technique to obtain nearly optimal estimates of the computational resolution limits introduced in Appl. Comput. Harmon. Anal. 56 (2022) 402-446; IEE…
Mathematical Theory of Computational Resolution Limit in Multi-dimensions
Ping Liu, Hai Zhang
Resolving a linear combination of point sources from their band-limited Fourier data is a fundamental problem in imaging and signal processing. With the incomplete Fourier data and…
A mathematical theory of computational resolution limit in one dimension
Ping Liu, Hai Zhang
Given an image generated by the convolution of point sources with a band-limited function, the deconvolution problem is to reconstruct the source number, positions, and amplitudes.…