activity
20152017
most citedOn the Convex Hulls of Self-Affine Fractals

3 citations · 3 across the 5 of their papers we have counts for

collaborators

6 papers

math.NA2017

Passive array imaging in random media

Liliana Borcea, Ilker Kocyigit

We present a novel algorithm for high resolution coherent imaging of sound sources in random scattering media using time resolved measurements of the acoustic pressure at an array…

math.OC2017

A Multiple Measurement Vector Approach To Synthetic Aperture Radar Imaging

Liliana Borcea, Ilker Kocyigit

We study a multiple measurement vector (MMV) approach to synthetic aperture radar (SAR) imaging of scenes with direction dependent reflectivity and with polarization diverse measur…

math-ph2016

Imaging in random media with convex optimization

Liliana Borcea, Ilker Kocyigit

We study an inverse problem for the wave equation where localized wave sources in random scattering media are to be determined from time resolved measurements of the waves at an ar…

math.AP2015

Applications of CGO Solutions on Coupled-Physics Inverse Problems

Ilker Kocyigit, Ru-Yu Lai, Lingyun Qiu +2

This paper surveys inverse problems arising in several coupled-physics imaging modalities for both medical and geophysical purposes. These include Photo-acoustic Tomography (PAT),…

math.NA2015

Resolution analysis of imaging with optimization

Liliana Borcea, Ilker Kocyigit

We study array imaging of a sparse scene of point-like sources or scatterers in a homogeneous medium. For source imaging the sensors in the array are receivers that collect measure…

math.DS2015★ 3 cited

On the Convex Hulls of Self-Affine Fractals

Ibrahim Kirat, Ilker Kocyigit

Suppose that the set of real matrices has joint spectral radius less than . Then for any digit set $ D= \{d_1, \cdots, d_q\}…