Minimization of a Mumford-Shah Model for X-ray Tomography: by using shape sensitivity analysis and Newton-type Algorithm
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Von Händler/Antiquariat, AHA-BUCH GmbH [51283250], Einbeck, Germany.
This item is printed on demand - Print on Demand Titel. Neuware - In this work we tread upon the classical two-dimensional X-ray tomography problem modeled by the Radon transform. We have focused on the problem of simultaneously inverting the Radon transform and segmenting the density distribution into homogeneous regions directly from the sinogram data i.e. from the attenuation data of X-rays passing through the body. We have used modified Mumford-Shah model for piecewise constant densities. The segmenting curves are described by a suitable level-set function and the problem of optimal adjustment of the curves to the actual contours of objects in the density distribution is achieved combining shape sensitivity techniques with level-set based transport of geometrical objects. The novel contribution of this work is the use of second order shape sensitivity analysis to construct a Newton-type descend direction for the solution of the resulting shape optimization problem. To construct an algorithm which performs the reconstruction and segmentation simultaneously from the measured data was the prime motivation of this work. 168 pp. Englisch.

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Von Händler/Antiquariat, AHA-BUCH GmbH [51283250], Einbeck, Germany.
This item is printed on demand - Print on Demand Neuware - In this work we tread upon the classical two-dimensional X-ray tomography problem modeled by the Radon transform. We have focused on the problem of simultaneously inverting the Radon transform and segmenting the density distribution into homogeneous regions directly from the sinogram data i.e. from the attenuation data of X-rays passing through the body. We have used modified Mumford-Shah model for piecewise constant densities. The segmenting curves are described by a suitable level-set function and the problem of optimal adjustment of the curves to the actual contours of objects in the density distribution is achieved combining shape sensitivity techniques with level-set based transport of geometrical objects. The novel contribution of this work is the use of second order shape sensitivity analysis to construct a Newton-type descend direction for the solution of the resulting shape optimization problem. To construct an algorithm which performs the reconstruction and segmentation simultaneously from the measured data was the prime motivation of this work. 168 pp. Englisch.

Von Händler/Antiquariat, The Book Depository EURO [60485773], London, United Kingdom.
Language: English Brand New Book ***** Print on Demand *****.In this work we tread upon the classical two-dimensional X-ray tomography problem modeled by the Radon transform. We have focused on the problem of simultaneously inverting the Radon transform and segmenting the density distribution into homogeneous regions directly from the sinogram data i.e. from the attenuation data of X-rays passing through the body. We have used modified Mumford-Shah model for piecewise constant densities. The segmenting curves are described by a suitable level-set function and the problem of optimal adjustment of the curves to the actual contours of objects in the density distribution is achieved combining shape sensitivity techniques with level-set based transport of geometrical objects. The novel contribution of this work is the use of second order shape sensitivity analysis to construct a Newton-type descend direction for the solution of the resulting shape optimization problem. To construct an algorithm which performs the reconstruction and segmentation simultaneously from the measured data was the prime motivation of this work.

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Von Händler/Antiquariat, Amazon.es.
Tapa blanda, Label: VDM Verlag, VDM Verlag, Produktgruppe: Libro, Publiziert: 2010-04-22, Studio: VDM Verlag.