Zobrazeno 1 - 10
of 305
pro vyhledávání: '"Haltmeier, M."'
Publikováno v:
Inverse Problems and Imaging 1 (2007), no. 3, 507-523
In part I we introduced modified Landweber-Kaczmarz methods and have established a convergence analysis. In the present work we investigate three applications: an inverse problem related to thermoacoustic tomography, a nonlinear inverse problem for s
Externí odkaz:
http://arxiv.org/abs/2011.09913
Publikováno v:
Inverse Problems and Imaging 1 (2007), no. 2, 289-298
In this article we develop and analyze novel iterative regularization techniques for the solution of systems of nonlinear ill--posed operator equations. The basic idea consists in considering separately each equation of this system and incorporating
Externí odkaz:
http://arxiv.org/abs/2011.09893
Publikováno v:
In Photoacoustics September 2020 19
Publikováno v:
In Photoacoustics September 2020 19
Autor:
Haltmeier, M.
Publikováno v:
Inverse Probl. 30 (2014) 105006
Many modern imaging and remote sensing applications require reconstructing a function from spherical averages (mean values). Examples include photoacoustic tomography, ultrasound imaging or SONAR. Several formulas of the back-projection type for reco
Externí odkaz:
http://arxiv.org/abs/1404.3935
Publikováno v:
AIP Conference Proceedings; 2024, Vol. 3094 Issue 1, p1-5, 5p
Publikováno v:
Commun. Math. Sci. 7(3), pp. 665-678 (2009)
A method for photoacoustic tomography is presented that uses circular integrals of the acoustic wave for the reconstruction of a three-dimensional image. Image reconstruction is a two-step process: In the first step data from a stack of circular inte
Externí odkaz:
http://arxiv.org/abs/0809.2052
Publikováno v:
IEEE Transactions on Medical Imaging 28(11) pp. 1727-1735 (2009)
Fourier reconstruction algorithms significantly outperform conventional back-projection algorithms in terms of computation time. In photoacoustic imaging, these methods require interpolation in the Fourier space domain, which creates artifacts in rec
Externí odkaz:
http://arxiv.org/abs/0808.3510
Publikováno v:
Applied Mathematics and Computation 202 (2008), pp. 596-607
We investigate modified steepest descent methods coupled with a loping Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations. We show that the proposed method is a convergent regularization method. Nume
Externí odkaz:
http://arxiv.org/abs/0801.3088
We establish inversion formulas of the so called filtered back-projection type to recover a function supported in the ball in even dimensions from its spherical means over spheres centered on the boundary of the ball. We also find several formulas to
Externí odkaz:
http://arxiv.org/abs/math/0701426