Inversion of the shape of defects in composite plates

C Yang, Y Yang, Y Lin, B Wang, Z Qian… - International Journal of …, 2024 - Elsevier
Defect detection of laminated composite plates using ultrasonic guided waves is of great
interest nowadays. Nevertheless, it is still a challenging problem to reconstruct the true …

Shape and parameter identification by the linear sampling method for a restricted Fourier integral operator

L Audibert, S Meng - Inverse Problems, 2024 - iopscience.iop.org
In this paper we provide a new linear sampling method based on the same data but a
different definition of the data operator for two inverse problems: the multi-frequency inverse …

Total variation-based reconstruction and phase retrieval for diffraction tomography

R Beinert, M Quellmalz - SIAM Journal on Imaging Sciences, 2022 - SIAM
In optical diffraction tomography (ODT), the three-dimensional scattering potential of a
microscopic object rotating around its center is recovered by a series of illuminations with …

Slicing of radial functions: a dimension walk in the Fourier space

N Rux, M Quellmalz, G Steidl - arXiv preprint arXiv:2408.11612, 2024 - arxiv.org
Computations in high-dimensional spaces can often be realized only approximately, using a
certain number of projections onto lower dimensional subspaces or sampling from …

Diffraction tomography for incident Herglotz waves

C Kirisits, N Naujoks, O Scherzer, H Yang - Inverse Problems, 2024 - iopscience.iop.org
Diffraction tomography (DT) is an inverse scattering technique used to reconstruct the spatial
distribution of the material properties of a weakly scattering object. The object is exposed to …

Diffraction tomography, Fourier reconstruction, and full waveform inversion

F Faucher, C Kirisits, M Quellmalz, O Scherzer… - … of Mathematical Models …, 2022 - Springer
In this chapter, we study the mathematical imaging problem of diffraction tomography (DT),
which is an inverse scattering technique used to find material properties of an object by …

Dynamic tracking of onion-like carbon nanoparticles in cancer cells using limited-angle holographic tomography with self-supervised learning

Y Liu, W Xiao, X Xiao, H Wang, R Peng… - Biomedical Optics …, 2024 - opg.optica.org
This research presents a novel approach for the dynamic monitoring of onion-like carbon
nanoparticles inside colorectal cancer cells. Onion-like carbon nanoparticles are widely …

Generalized Fourier diffraction theorem and filtered backpropagation for tomographic reconstruction

C Kirisits, M Quellmalz, E Setterqvist - arXiv preprint arXiv:2407.01793, 2024 - arxiv.org
This paper concerns diffraction-tomographic reconstruction of an object characterized by its
scattering potential. We establish a rigorous generalization of the Fourier diffraction theorem …

Sparse holographic tomography reconstruction method based on self-supervised neural network with learning to synthesize strategy

Y Liu, W Xiao, F Pan - Optics & Laser Technology, 2025 - Elsevier
This research proposes a novel method for sparse digital holographic tomography
reconstruction. Due to the limitations of numerical aperture and sampling time, the …

Motion detection in diffraction tomography by common circle methods

M Quellmalz, P Elbau, O Scherzer, G Steidl - Mathematics of Computation, 2024 - ams.org
Motion detection in diffraction tomography by common circle methods Page 1 MATHEMATICS
OF COMPUTATION Volume 93, Number 346, March 2024, Pages 747–784 …