Mathematical Methods in Tomography: Proceedings of a Conference held in Oberwolfach, Germany, 5-11 June, 1990 - Softcover

Softcover

ISBN 10: 3662193639 ISBN 13: 9783662193631

Publisher: Springer, 2014

Synopsis

Helgason's support theorem for Radon transforms - A new proof and a generalization.- Singular value decompositions for Radon transforms.- Image reconstruction in Hilbert space.- A problem of integral geometry for a family of rays with multiple reflections.- Inversion formulas for the three-dimensional ray transform.- Backscattered photons - Are they useful for a surface-near tomography?.- Mathematical framework of cone beam 3D reconstruction via the first derivative of the radon transform.- Diffraction tomography some applications and extension to 3-D ultrasound imaging.- Diffuse tomography: A refined model.- Three dimensional reconstructions in inverse obstacle scattering.- Mathematical questions of a biomagnetic imaging problem.- On variable block algebraic reconstruction techniques.- On Volterra-Lotka differential equations and multiplicative algorithms for monotone complementarity problems.- Constrained regularized least squares problems.- Multiplicative iterative methods in computed tomography.- Remark on the informative content of few measurements.- Theorems for the number of zeros of the projection radial modulators of the 2D exponential radon transform.- Evaluation of reconstruction algorithms.- Radon transform and analog coding.- Determination of the specific density of an aerosol through tomography.- Computed tomography and rockets.

Edition details

• Publisher: Springer
• Publication date: 2014
• Language: English
• ISBN 10: 3662193639
• ISBN 13: 9783662193631
• Binding: Paperback
• Number of pages: 284
• Editor: Herman Gabor T., Louis Alfred K., Natterer Frank