Mathematics and images: some examples of applications. (Italian) Zbl 1085.00501
Reviewer: Yuri V. Rogovchenko (Famagusta)
MSC:
00A69
Found 65 Documents (Results 1–65)
A systolic implementation of the MLEM reconstruction algorithm for positron emission tomography images. (English) Zbl 0938.68656
Asymptotics of pseudodifferential operators acting on functions with corner singularities. (English) Zbl 1025.47505
An enhanced splatting method. (English) Zbl 0969.68547
Edwards, Jenny (ed.), Computer science. ACSC ’99. Proceedings of the 22nd Australasian conference, Auckland, New Zealand, January 18-21, 1999. Singapore: Springer. Aust. Comput. Sci. Commun. 21(1), 134-145 (1999).
A recursive algorithm for diffuse planar tomography. (English) Zbl 0962.65007
Herman, Gabor T. (ed.) et al., Discrete tomography. Foundations, algorithms, and applications. Basel: Birkhäuser. Applied and Numerical Harmonic Analysis. 435-454 (1999).
Tomography on the 3D-torus and crystals. (English) Zbl 0962.65113
Herman, Gabor T. (ed.) et al., Discrete tomography. Foundations, algorithms, and applications. Basel: Birkhäuser. Applied and Numerical Harmonic Analysis. 417-434 (1999).
Heart chamber reconstruction from biplane angiography. (English) Zbl 0958.92022
Herman, Gabor T. (ed.) et al., Discrete tomography. Foundations, algorithms, and applications. Basel: Birkhäuser. Applied and Numerical Harmonic Analysis. 385-403 (1999).
MSC:
92C55
An algebraic solution for discrete tomography. (English) Zbl 0962.65112
Herman, Gabor T. (ed.) et al., Discrete tomography. Foundations, algorithms, and applications. Basel: Birkhäuser. Applied and Numerical Harmonic Analysis. 265-284 (1999).
Uniqueness and complexity in discrete tomography. (English) Zbl 0964.65146
Herman, Gabor T. (ed.) et al., Discrete tomography. Foundations, algorithms, and applications. Basel: Birkhäuser. Applied and Numerical Harmonic Analysis. 85-113 (1999).
Discrete tomography: A historical overview. (English) Zbl 0959.92014
Herman, Gabor T. (ed.) et al., Discrete tomography. Foundations, algorithms, and applications. Basel: Birkhäuser. Applied and Numerical Harmonic Analysis. 3-34 (1999).
Theory of operators and ill-posed problems. Revised and updated version of ‘Linejnye operatory i nekorrektnye zadachi’. (Теория операторов и некорректные задачи.) (Russian) Zbl 0986.47011
Novosibirsk: Izdatel’stvo Instituta Matematiki Im. S. L. Soboleva SO RAN. 701 p. (1999).
Reviewer: Michael Hitrik (Berkeley)
Discrete tomography. Foundations, algorithms, and applications. (English) Zbl 0946.00014
Applied and Numerical Harmonic Analysis. Basel: Birkhäuser. xxii, 479 p. (1999).
Local spectral analysis of short-pulse excited scattering from weakly inhomogeneous media. I: Forward scattering. (English) Zbl 0949.78009
Local spectral analysis of short-pulse excited scattering from weakly inhomogeneous media. II: Inverse scattering. (English) Zbl 0949.78010
Multicast-based inference of network-internal loss characteristics. (English) Zbl 0961.94002
MSC:
94A05
A parallel implementation of the maximum likelihood method in positron emission tomography image reconstruction. (English) Zbl 1157.92319
The extended phase space: A formalism for the study of quantum noise and quantum correlations. (English) Zbl 0966.81037
Developments in inverse problems since Calderón’s foundational paper. (English) Zbl 0963.35203
Christ, Michael (ed.) et al., Harmonic analysis and partial differential equations. Essays in honor of Alberto P. Calderón’s 75th birthday. Proceedings of a conference, University of Chicago, IL, USA, February 1996. Chicago, IL: The University of Chicago Press. Chicago Lectures in Mathematics. 295-345 (1999).
Reviewer: Dang Dinh Ang (Ho Chi Minh City)
Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration. (English) Zbl 0940.65011
Reviewer: Mariana Gaşpar (Iaşi)
Numerical methods in tomography. (English) Zbl 0944.65138
Acta Numerica 8, 107-141 (1999).
Reviewer: N.Hayek (La Laguna)
From computerized to geometric and discrete tomography. (English) Zbl 0940.65148
Barndorff-Nielsen, Ole E. (ed.) et al., Geometry in present day science. Proceedings of the conference, Aarhus, Denmark, January 16-18, 1997. Singapore: World Scientific. 97-107 (1999).
A systolic implementation of the MLEM reconstruction algorithm for positron emission tomography images. (English) Zbl 0930.68156
Recovery of region boundaries of piecewise constant coefficients of an elliptic PDE from boundary data. (English) Zbl 0936.35195
Numerical solution of the identification problem for the attenuated Radon transform. (English) Zbl 0945.65145
Reviewer: C.L.Parihar (Indore)
A fast rebinning algorithm for 3D positron emission tomography using John’s equation. (English) Zbl 0945.65144
Reviewer: C.L.Parihar (Indore)
A new approach towards simultaneous activity and attenuation reconstruction in emission tomography. (English) Zbl 0945.65146
Reviewer: C.L.Parihar (Indore)
A simple model for the efficient correction of collimator blur in 3D SPECT imaging. (English) Zbl 0936.92025
Matching pursuit for imaging high-contrast conductivity. (English) Zbl 0948.78012
Reviewer: B.Hofmann (Chemnitz)
An introduction to inverse problems. Examples, methods and questions. (English) Zbl 0945.35091
22\(^o\) Colóquio Brasileiro de Matemática. Rio de Janeiro: Instituto de Matemática Pura e Aplicada. iv, 86 p. (1999).
Reviewer: B.Hofmann (Chemnitz)
Electrical impedance tomography and Faddeev Green’s functions. (English) Zbl 0943.35107
Annales Academiæ Scientiarum Fennicæ. Mathematica. Dissertationes. 121. Helsinki: Suomalainen Tiedeakatemia. Helsinki: Helsinki Univ. of Technology, 56 p. (1999).
Reviewer: Dang Dinh Ang (Ho Chi Minh City)
Fast Fourier transform for non-equidistant meshes and tomographic applications. (Schnelle Fourier-Transformationen bei nicht äquidistanten Gittern und tomographische Anwendungen.) (German) Zbl 0938.65158
Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, 108 S. (1999).
Reviewer: G.Steidl (Mannheim)
Quantum state reconstruction from incomplete data. (English) Zbl 0998.81016
Reviewer: Piotr Garbaczewski (Zielona Gora)
Cone beam local tomography. (English) Zbl 0938.44003
Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa)
Minimax emission computed tomography using high-resolution anatomical side information and \(B\)-spline models. (English) Zbl 0946.94006
On the unique determination of compact convex sets from their projections. The complex case. (English. Russian original) Zbl 0933.52007
Sib. Math. J. 40, No. 4, 678-681 (1999); translation from Sib. Mat. Zh. 40, No. 4, 805-810 (1999).
Reviewer: V.A.Alexandrov (Novosibirsk)
Fully three-dimensional reconstruction in electron microscopy. (English) Zbl 0929.65136
Börgers, Christoph (ed.) et al., Computational radiology and imaging. Therapy and diagnostics. Proceedings of a workshop, University of Minnesota, Minneapolis, MN, USA, March 17–21, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 110, 251-281 (1999).
Optimization methods for radiation therapy plans. (English) Zbl 0929.65135
Börgers, Christoph (ed.) et al., Computational radiology and imaging. Therapy and diagnostics. Proceedings of a workshop, University of Minnesota, Minneapolis, MN, USA, March 17–21, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 110, 229-249 (1999).
The application of the x-ray transform to 3D conformal radiotherapy. (English) Zbl 0929.65134
Börgers, Christoph (ed.) et al., Computational radiology and imaging. Therapy and diagnostics. Proceedings of a workshop, University of Minnesota, Minneapolis, MN, USA, March 17–21, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 110, 183-227 (1999).
Image reconstruction from experimental data in diffusion tomography. (English) Zbl 0929.65074
Börgers, Christoph (ed.) et al., Computational radiology and imaging. Therapy and diagnostics. Proceedings of a workshop, University of Minnesota, Minneapolis, MN, USA, March 17–21, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 110, 157-181 (1999).
Early results on general vertex sets and truncated projections in cone-beam tomography. (English) Zbl 0929.65133
Börgers, Christoph (ed.) et al., Computational radiology and imaging. Therapy and diagnostics. Proceedings of a workshop, University of Minnesota, Minneapolis, MN, USA, March 17–21, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 110, 113-135 (1999).
A general framework for iterative reconstruction algorithms in optical tomography, using a finite element method. (English) Zbl 0929.65078
Börgers, Christoph (ed.) et al., Computational radiology and imaging. Therapy and diagnostics. Proceedings of a workshop, University of Minnesota, Minneapolis, MN, USA, March 17–21, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 110, 45-70 (1999).
Tomography through the transport equation. (English) Zbl 0929.65143
Börgers, Christoph (ed.) et al., Computational radiology and imaging. Therapy and diagnostics. Proceedings of a workshop, University of Minnesota, Minneapolis, MN, USA, March 17–21, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 110, 33-44 (1999).
Mathematical models for medical imaging. (English) Zbl 0938.92023
Börgers, Christoph (ed.) et al., Computational radiology and imaging. Therapy and diagnostics. Proceedings of a workshop, University of Minnesota, Minneapolis, MN, USA, March 17-21, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 110, 17-32 (1999).
Numerical solution of a parabolic inverse problem in optical tomography using experimental data. (English) Zbl 0934.35206
Reviewer: B.Hofmann (Chemnitz)
On the computational complexity of reconstructing lattice sets from their \(X\)-rays. (English) Zbl 0947.68160
An optical tomography-related time-domain inverse problem for the diffusion equation. (English) Zbl 0930.35199
Tomography, approximate reconstruction, and continuous wavelet transforms. (English) Zbl 0945.42021
Reviewer: W.Schempp (Siegen)
An improvement of back-scattered ultrasonic tomography. (Une amélioration de la tomographie ultrasonore en réflexion.) (French. Abridged English version) Zbl 0935.92026
MSC:
92C55
The conjugate gradient regularization method in computed tomography problems. (English) Zbl 0932.65138
Reviewer: R.S.Dahiya (Ames)
Singular filters for the Radon backprojection. (English) Zbl 0932.65135
Reviewer: C.L.Parihar (Indore)
Recovery of small perturbations of an interface for an elliptic inverse problem via linearization. (English) Zbl 0926.35166
Maximum entropy method for sign-altering functions. (English) Zbl 0932.65139
Reviewer: Paninjukunnath Achuthan (Madras)
Tomographic reconstruction from non-calibrated noisy projections in non-destructive evaluation. (English) Zbl 0943.65154
Reviewer: Emil Minchev (Sofia)
How to draw a picture of an unknown inclusion from boundary measurements. Two mathematical inversion algorithms. (English) Zbl 0928.35207
Electrical impedance tomography. (English) Zbl 0927.35130
Reviewer: Yves Cherruault (Paris)
Gröbner bases and primal algorithms in discrete tomography. (English) Zbl 0922.90105
München: Hieronymus. München: TU München, v, 159 p. (1999).
Numerical solution of the emission 2D-tomography problem for a medium with absorbtion and refraction. (English) Zbl 0973.65125
Determination of the interface between the fluids in a Hall–Héroult cell from measurements of electric potentials and currents on the electrodes. (English) Zbl 0923.35203
Reviewer: Dang Dinh Ang (Ho Chi Minh City)
On the invertibility of Doppler imaging: an approach based on generalized tomography. (English) Zbl 0922.44002
Reviewer: S.P.Goyal (Jaipur)
MSC:
44A12
On the determination of star and convex bodies by section functions. (English) Zbl 0923.52003
Reviewer: Serguey M.Pokas (Odessa)
MSC:
52A39
Local tomography with nonsmooth attenuation. (English) Zbl 0924.35207
Reviewer: L.Debnath (Orlando)
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