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. However …

This paper is devoted to elucidating the essence of super-resolution and deals mainly with
the stability of super-resolution and the diffraction limit with respect to the signal-to-noise …

By introducing a new operator theory, we provide a unified mathematical theory for general
source resolution in the multi-illumination imaging problem. Our main idea is to transform …

In this paper, we analyze the capacity of super-resolution (SR) of one-dimensional positive
sources. In particular, we consider a similar setting as in Batenkov et al.(2020, Inf. Inference …

This paper focuses on the fundamental aspects of super-resolution, particularly addressing
the stability of super-resolution and the estimation of two-point resolution. Our first major …

The purpose of this paper is twofold. First, we propose a novel algorithm for estimating
parameters in one-dimensional Gaussian mixture models (GMMs). The algorithm takes …

Particle tracking in a live cell environment is concerned with reconstructing the trajectories,
locations, or velocities of the targeting particles, which holds the promise of revealing …

In this paper, we study the spectral estimation problem of estimating the locations of a fixed
number of point sources given multiple snapshots of Fourier measurements in a bounded …