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ilker
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(with L. Borcea) Passive array imaging in random media,
IEEE Transactions on Computational Imaging ( Volume: 4 , Issue: 3 , Sept. 2018 )
(download pdf)
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(with R. Lai, L. Qiu, Y. Yang, and T.
Zhou) Applications of cgo solutions on inverse
problems of coupled-physics imaging methods,
Inverse Problems and Imaging, Volume 11 Issue 2, 277 – 304, 2017 (download pdf)
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(with L. Borcea) Imaging in random media
with convex optimization, SIAM J. Imaging Sci., 10(1), 147–190, 2016 (download pdf)
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(with H. Liu, and H. Sun) Regular
scattering patterns from near-cloaking devices and
their implications for invisibility cloaking,
Inverse Problems, 29, 2013 (download pdf)
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(with I. Kirat) A new class of exceptional
self-affine fractals, Journal of Mathematical Analysis
and Applications, 401, 2013 (download pdf)
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Hybrid Inverse Problems Arising from Acousto-Electric Coupling,
PhD diss., University of Washington, uri:hdl.handle.net/1773/24330, 2013 (download pdf)
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Acousto-electric tomography and CGO
solutions with internal data, Inverse Problems, 28,
2012 (download pdf)
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Acoustic
waves can induce slight changes in the
conductivity of a medium. In
acousto-electric tomography (AET), we want
to use this physical phenomenon in order
to provide a stable reconstruction of
high-contrast electrical properties of
tissue while using high-resolution
features of ultrasound imaging.
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(with I. Kirat) Remarks on self-affine
fractals with polytope convex hulls, Fractals, 18,
2010 (download pdf)
A self-affine or a self-similar set can
be viewed as a complex set which consist
of smaller copies of itself. These
complex sets arise in various contexts
such as radix expansions, the
construction of compactly supported
wavelets and Markov partitions. In this
project we studied the problem of
locating the extreme points of convex
hulls of certain complex sets, and
showed that they can be computed
explicitely when its convex hull is a
polytope.
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