Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Peter Elbau"'
Publikováno v:
AIMS Mathematics, Vol 8, Iss 2, Pp 2508-2531 (2023)
We review mathematical models describing how Optical Coherence Tomography works. Hereby, we focus on models based on Maxwell's equations and their simplifications. We highlight especially the effects of different modeling assumptions for the incident
Externí odkaz:
https://doaj.org/article/74c0632759284c3db33eb22de3a34629
Publikováno v:
Sensors, Vol 21, Iss 20, p 6864 (2021)
Optical coherence tomography (OCT) is a widely used imaging technique in the micrometer regime, which gained accelerating interest in medical imaging in the last twenty years. In up-to-date OCT literature, certain simplifying assumptions are made for
Externí odkaz:
https://doaj.org/article/635429e5b5b84f899458f07c25687983
Publikováno v:
Foundations of Computational Mathematics. 22:1567-1629
Recently, there has been a great interest in analysing dynamical flows, where the stationary limit is the minimiser of a convex energy. Particular flows of great interest have been continuous limits of Nesterov’s algorithm and the fast iterative sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f8b95a6d06a38ef4a26e80e488a3070
https://doi.org/10.1007/s10208-021-09536-6
https://doi.org/10.1007/s10208-021-09536-6
We review mathematical models describing how Optical Coherence Tomography works. Hereby, we focus on models based on Maxwell's equations and their simplifications. We highlight especially the effects of different modeling assumptions for the incident
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::baee7c8399bb7b604137137b5c77c58a
Publikováno v:
Time-dependent Problems in Imaging and Parameter Identification ISBN: 9783030577834
We consider the problem of reconstructing the position and the time-dependent optical properties of a linear dispersive medium from OCT measurements. The medium is multi-layered described by a piecewise inhomogeneous refractive index. The measurement
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3bfbd61c9848ce18dc8a26084d549edb
https://doi.org/10.1007/978-3-030-57784-1_8
https://doi.org/10.1007/978-3-030-57784-1_8
Publikováno v:
Mathematical and Numerical Approaches for Multi-Wave Inverse Problems ISBN: 9783030486334
In this work we consider the inverse problem of reconstructing the optical properties of a layered medium from an elastography measurement where optical coherence tomography is used as the imaging method. We hereby model the sample as a linear dielec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66542f1666514840d78c4bd48c862399
https://doi.org/10.1007/978-3-030-48634-1_8
https://doi.org/10.1007/978-3-030-48634-1_8
Publikováno v:
Inverse Problems. 36:044004
Optical and acoustical trapping has been established as a tool for holding and moving microscopic particles suspended in a liquid in a contact-free and non-invasive manner. Opposed to standard microscopic imaging, where the probe is fixated, this tec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::940ea03b4705a25e9f12263b95b29405
https://doi.org/10.1088/1361-6420/ab67db
https://doi.org/10.1088/1361-6420/ab67db
Publikováno v:
Numerical Functional Analysis and Optimization. 36:549-566
In recent years, a series of convergence rates conditions for regularization methods has been developed. Mainly, the motivations for developing novel conditions came from the desire to carry over convergence rates results from the Hilbert space setti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3a6d08b66d3f62acf8c177d9261abd3
https://doi.org/10.1080/01630563.2015.1021422
https://doi.org/10.1080/01630563.2015.1021422
Autor:
Otmar Scherzer, Peter Elbau
Publikováno v:
SIAM Journal on Imaging Sciences. 8:1-18
To effectively use photoacoustic tomography to obtain cross-sectional images, a combination of a focused laser illumination and focusing acoustic detectors is used. In this work, we discuss how to incorporate cylindrically shaped focusing detectors i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ba6177e1c99dd8ca6bf86dc2ae1cdf3
https://doi.org/10.1137/120882962
https://doi.org/10.1137/120882962
While in standard photoacoustic imaging the propagation of sound waves is modeled by the standard wave equation, our approach is based on a generalized wave equation with variable sound speed and material density, respectively. In this paper we prese
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b9955da961062db69166733d47fc3b8
http://arxiv.org/abs/1706.01818
http://arxiv.org/abs/1706.01818