Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Xavier Bonnefond"'
Publikováno v:
Mathematical Methods in the Applied Sciences, Volume 34, Issue 1, pages 108-124, 15 January 2011
The work is inspired by thermo-and photoacoustic imaging, where recent efforts are devoted to take into account attenuation and varying wave speed parameters. In this paper we derive and analyze causal equations describing propagation of attenuated p
Externí odkaz:
http://arxiv.org/abs/0906.4678
Publikováno v:
Set-Valued and Variational Analysis
Set-Valued and Variational Analysis, Springer, 2018, 26 (2), pp.265-275
Set-Valued and Variational Analysis, 2018, 26 (2), pp.265-275
Set-Valued and Variational Analysis, Springer, 2018, 26 (2), pp.265-275
Set-Valued and Variational Analysis, 2018, 26 (2), pp.265-275
Considering a general linear ill-posed equation, we explore the duality arising from the requirement that the discrepancy should take a given value based on the estimation of the noise level, as is notably the case when using the Morozov principle. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4870f26e72c8e4b94c74af5ae16dcafc
https://hal.archives-ouvertes.fr/hal-01982394
https://hal.archives-ouvertes.fr/hal-01982394
Publikováno v:
Mathematical Models and Methods in Applied Sciences
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2014, 24 (12), pp.2525--2548. ⟨10.1142/S0218202514500286⟩
Mathematical Models and Methods in Applied Sciences, 2014, 24 (12), pp.2525--2548. ⟨10.1142/S0218202514500286⟩
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2014, 24 (12), pp.2525--2548. ⟨10.1142/S0218202514500286⟩
Mathematical Models and Methods in Applied Sciences, 2014, 24 (12), pp.2525--2548. ⟨10.1142/S0218202514500286⟩
International audience; This article is devoted to the introduction and study of a photoacoustic tomography model, an imaging technique based on the reconstruction of an internal photoacoustic source distribution from measurements acquired by scannin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::257a849acb030bedff030d2859b6af24
https://doi.org/10.1142/s0218202514500286
https://doi.org/10.1142/s0218202514500286
Autor:
Xavier Bonnefond, Pierre Maréchal
Publikováno v:
Optimization Letters. 8:401-405
We consider approximate intertwining relationships, and show that the standard solution, which involves the pseudoinverse, remains a solution for a large class of discrepancy measures, namely the class of all \(\mathbb{R }\)-valued convex spectral fu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aab697dc90350243d2f69ee70a6a8f48
https://doi.org/10.1007/s11590-013-0638-1
https://doi.org/10.1007/s11590-013-0638-1
Publikováno v:
University of Vienna-u:cris
The work is inspired by thermo- and photoacoustic imaging, where recent efforts are devoted to take into account attenuation and varying wave speed parameters. In this paper, we derive and analyze causal equations describing the propagation of attenu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee288f01343ec2d9f2c8015e5cf4e43e
https://doi.org/10.1002/mma.1344
https://doi.org/10.1002/mma.1344
Autor:
Pierre Maréchal, Xavier Bonnefond
Publikováno v:
Journal of Optimization Theory and Applications
Journal of Optimization Theory and Applications, Springer Verlag, 2014, 160 (1), pp.30-48
Journal of Optimization Theory and Applications, 2014, 160 (1), pp.30-48
Journal of Optimization Theory and Applications, Springer Verlag, 2014, 160 (1), pp.30-48
Journal of Optimization Theory and Applications, 2014, 160 (1), pp.30-48
We develop theoretical tools for the analysis of convex spectral functions of non-symmetric operators on Hilbert spaces. The obtained results are applied to an optimization problem arising from the theory of inverse problems, which involves the notio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72a0c392f0b69e865c31bde16ded05e5
https://hal.archives-ouvertes.fr/hal-01982349
https://hal.archives-ouvertes.fr/hal-01982349