66 citations · 194 across the 20 of their papers we have counts for
6 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…
A mathematical theory of resolution limits for super-resolution of positive sources
Ping Liu, Yanchen He, Habib Ammari
A priori information on the positivity of source intensities is ubiquitous in imaging fields and is also important for a multitude of super-resolution and deconvolution algorithms.…
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…
Dynamic super-resolution in particle tracking problems
Ping Liu, Habib Ammari
Particle tracking in biological imaging is concerned with reconstructing the trajectories, locations, or velocities of the targeting particles. The standard approach of particle tr…
A measurement decoupling based fast algorithm for super-resolving point sources with multi-cluster structure
Ping Liu, Hai Zhang
We consider the problem of resolving closely spaced point sources in one dimension from their Fourier data in a bounded domain. Classical subspace methods (e.g., MUSIC algorithm, M…
Active Learning for Point Cloud Semantic Segmentation via Spatial-Structural Diversity Reasoning
Feifei Shao, Yawei Luo, Ping Liu +4
The expensive annotation cost is notoriously known as the main constraint for the development of the point cloud semantic segmentation technique. Active learning methods endeavor t…